Qft Definition and 980 Threads

In particle physics, the history of quantum field theory starts with its creation by Paul Dirac, when he attempted to quantize the electromagnetic field in the late 1920s. Major advances in the theory were made in the 1940s and 1950s, and led to the introduction of renormalized quantum electrodynamics (QED). QED was so successful and accurately predictive that efforts were made to apply the same basic concepts for the other forces of nature. By the late 1970s, these efforts successfully utilized gauge theory in the strong nuclear force and weak nuclear force, producing the modern standard model of particle physics.
Efforts to describe gravity using the same techniques have, to date, failed. The study of quantum field theory is still flourishing, as are applications of its methods to many physical problems. It remains one of the most vital areas of theoretical physics today, providing a common language to several different branches of physics.

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  1. N

    A QFT & Entanglement: NRQT vs. PCT Transform

    Why is it that nonrelativistic quantum theory (NRQT) does not have PCT, whereas QFT does? How would you characterize the collapse of the wave function in terms of PCT? What is its PCT transform? How does QFT address EPR? Many physicists universally accept the Copenhagen interpretation and...
  2. P

    I In QFT people exchange electrons during touching?

    Does in QFT static electricity work classically or is there a more fundamental explanation?
  3. H

    I Problem with section in Schwartz's QFT text

    Beginning of page 303 of Schawrtz's QFT text (section 16.1.1), there's a part on the renormalization of the scalar propagator in ##\phi^3## theory to second order in ##g## the bare coupling. He writes (quote begins): $$M(Q)=M^0 (Q)+M^1 (Q)=\frac{g^2}{Q^2}(1-\frac{1}{32 \pi^2}...
  4. K

    Studying Anyone know how to begin learning QFT?

    I am currently a final year undergrad trying to understand Quantum field theory. However, the correct pathway to reach QFT is not so obvious. Topics like many-body quantum theory, statistical mechanics, relativistic quantum mechanics keep showing up. Some field theory books introduce QFT...
  5. L

    QFT books to continue after Schwartz

    I have taken one first QFT course last year which used Matthew Schwartz "Quantum Field Theory and the Standard Model" book. The course went all the way to renormalization of QED, although path integrals weren't discussed. Now I want to continue learning QFT and also I want to make a second...
  6. M

    What Is the Propagator of the Proca Lagrangian?

    Homework Statement I want to show that the propagator of Proca Lagrangian: \mathcal{L}=-\frac{1}{4}F_{\mu \nu}F^{\mu \nu}+\frac{1}{2}M^2A_\mu A^\mu Is given by: \widetilde{D}_{\mu \nu}(k)=\frac{i}{k^2-M^2+i\epsilon}[-g_{\mu\nu}+\frac{k_\mu k_\nu}{M^2}]Homework Equations Remember that...
  7. H

    I Clarification of a passage from the Schwartz QFT text

    Hi, would like some clarification on this passage from Matthew D. Schwartz's QFT text regarding renormalization on page 297, 15.4.1 Renormalization of ##\lambda##: "First of all, notice that, while ##M(s)## (the ##\phi\phi\rightarrow\phi\phi## scattering matrix for ##\phi^4## theory) is...
  8. S

    I QFT Path Integral: Confusions on Left & Right Most Terms & Vacuum State

    Hello! I am reading from Schwarz book on QFT the Path Integral chapter and I am confused about something. I attached a SS of that part. So we have $$<\Phi_{j+1}|e^{-i\delta H(t_j)}|\Phi_{j}>=N exp(i\delta t \int d^3x L[\Phi_j,\partial_t \Phi_j])$$ What happens when we have the left and right...
  9. H

    I What does it mean for particles to be "far apart" in QFT

    I'm currently reading Schwartz's QFT text "Quantum Field Theory and the Standard Model" (although this question does not specifically pertain to this text) and I've got two questions: 1. At the beginning of chapter 6 he talks about how we may consider the system to be non-interacting in...
  10. A

    A Query in Zeidler's Volume II QFT

    Hello! I am studying Zeidler's QFT Volume II, and I have a query on page 808: It is claimed that S Ψ^+_{p,s} = (sk)Ψ^+_{p,s} when p=p^3 k. I tried my hand at deriving this, but when we write S=S^1i+S^2j+S^3k, then the S^3k term acting on Ψ^+_{p,s} does give skΨ^+_{p,s}, but I don't see...
  11. A

    I Green's functions in QFT for the gifted amateur

    Hello, I am reading the book QFT for the gifted amateur and I have a question concerning how to go from the wave function picture to the Green's function as defined by equations (16.13) and (16.18) at page 147. ## \phi(x,t_{x}) = \int dy G^{+}(x,t_{x},y,t_{y})\phi(y,t_{y}) ##...
  12. A

    A Vacuum in interacting QFT and physical particles

    After some reading, I'm quite confused about the vacuum state in interacting QFT. I've read the @A. Neumaier post on "The Vacuum Fluctuation Myth," where he notes that "bare quantum field theory with a cutoff, the vacuum is a complicated multiparticle state depending on the cutoff – though in a...
  13. D

    I How Do Quantum Field Theory and Quantum Loop Gravity Explain the Quantum World?

    I think this could be an interesting discussion (unless I'm just totally off base): I don’t think were looking at things right in the atomic world. We represent everything as this wave particle duality which is not incorrect but is a great way to visualize particles and forces and their...
  14. diegzumillo

    A Confusion with finite temperature and lattice formulation

    I think the title sums up pretty well my doubts. I learned QFT from Peskin and Schroeder and other common sources, all implicitly defined QFT at zero temperature. Then I started learning about lattice QCD, how to define the action, how to find continuum limits, the importance of the dependence...
  15. L

    I Particles more fundamental than fields

    In this Nima Arkani-Hamed paper on page 5 I found the sentence: These constraints are an artifact of using fields as auxiliary objects to describe the interactions of the more fundamental particles. In Schwartz's QFT book I also get away with the impression that the Poincaré irreps (i.e...
  16. F

    A What is the difference between second quantization and QFT?

    Please teach me the difference between second quantization and QFT?
  17. Glenn Rowe

    A Evolution operator in QFT - why Schrodinger?

    I'm reading through a couple of books (Lahiri & Pal's "A First Book of Quantum Field Theory" and Greiner & Reinhardt's "Field Quantization" and have come to the derivation of the evolution operator which leads to the S-matrix. In both books, the derivation starts with the Schrodinger equation in...
  18. A

    I Interactions in QFT and consistent field energy....

    I have a not-very-well formulated question about the interaction picture of QFT. I understand that, in an interaction picture, particle numbers are not well defined (except as t goes to infinity and you're back at free fields). However, at the very least, in an interaction picture, a field...
  19. B

    A Is Chapter 5's Approach to the Photoelectric Effect Unique in QFT Literature?

    Chapter 5 of this book: https://www.amazon.com/dp/0750633719/?tag=pfamazon01-20 as one can see in the table of contents preview, discusses the photoelectric effect starting from the first principles of quantum field theory developed in the earlier chapters. I can't find another qft book which...
  20. binbagsss

    How Does the n Factor Arise in the QFT Generating Functional Equation?

    Homework Statement Hi I am looking at the attached question part c) Homework Equations belowThe Attempt at a Solution so if i take ##\frac{\partial^{(n-1)}}{\partial_{(n-1)}} ## of (2) it is clear I can get the ##\frac{i}{h} (\lambda_2 +\lambda_4 )## like-term, but I am unsure about...
  21. S

    I Klein-Gordon in QFT: Understanding the KG Equation

    Hello! I am a bit confused about the KG equation in the context of QFT. In QM, the KG equations describes the evolution of a wavefunction, ##\phi(x,t)##, in space and time (I will assume we have no potential). This function gives the probability of finding a particle described by this...
  22. P

    A The Optical Theorem for Feynman Diagrams

    In Peskin's textbook section 7.3 The Optical Theorem for Feynman Diagrams(Page233), he said it is easy to check that the corresponding t- and u-channel diagrams have no branch cut singularities for s above threshold. But I can't figure out how to prove it. Can angone help me? Thanks!
  23. CantorsLuck

    A Momentum Energy tensor and Wilson Loop in Yang-Mills Theory

    Hello Everyone. I Was Wondering how excatly the Gauge invariance of the trace of the Energy-momentum tensor in Yang-Mills theory connects with the trace of an Holonomy. To be precise in what I'm asking: The Yang-Mills Tensor is defined as: $$F_{\mu \nu} (x) = \partial_{\mu} B_{\nu}(x)-...
  24. L

    Studying How to self-study advanced books like Weinberg's QFT?

    Although the question came to my mind while studying Weinberg's QFT books, the doubt is much more general than that, and is not a doubt about physics, but rather about how to actually study and learn the topic alone from the book. From one point I agree that coming up with this doubt nearly...
  25. P

    A Confusion about the Z factor(Renormalization factor)

    In Peskin's textbook chapter 7 Radiative Corrections: Some formal developments (page 229), he said the Z factors are irrelevant for calculations at the leading order of perturbation theory, but are important in the calculation or higher-order corrections. My question is how can the Z factor be...
  26. Phylosopher

    I What is the relationship between Maxwell's equations and quantum field theory?

    Hello,I have been wondering about the validity of Maxwell's equations in quantum physics. I looked in the internet and it seems from what I understood that: Maxwell's equations are valid for any situation, classical or quantum. In fact, maybe it holds more legitimacy than Schroedinger equation...
  27. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 1: Introduction

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 1: Introduction

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  28. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 2: Introduction to Classical Field Theory

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 2: Introduction to Classical Field Theory

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  29. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 3: Quantization of Real Scalar Field - 1

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 3: Quantization of Real Scalar Field - 1

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  30. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 4: Quantization of Real Scalar Field - 2

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 4: Quantization of Real Scalar Field - 2

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  31. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 5: Quantization of Real Scalar Field - 3

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 5: Quantization of Real Scalar Field - 3

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  32. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 6: Quantization of Real Scalar Field - 4

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 6: Quantization of Real Scalar Field - 4

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  33. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 7: Quantization of Complex Scalar Field

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 7: Quantization of Complex Scalar Field

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  34. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 8: Interacting Field Theory - 1

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 8: Interacting Field Theory - 1

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  35. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 9: Interacting Field Theory -2

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 9: Interacting Field Theory -2

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  36. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 10: Interacting Field Theory - 3

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 10: Interacting Field Theory - 3

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  37. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 11: Interacting Field Theory - 4

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 11: Interacting Field Theory - 4

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  38. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 12: Interacting Field Theory - V

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 12: Interacting Field Theory - V

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  39. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 13: Interacting Field Theory - VI

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 13: Interacting Field Theory - VI

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  40. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 14: Interacting Field Theory - 7

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 14: Interacting Field Theory - 7

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  41. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 15: Quantization of Electromagnetic Field 1

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 15: Quantization of Electromagnetic Field 1

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  42. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 16: Quantization of Electromagnetic Field 2

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 16: Quantization of Electromagnetic Field 2

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  43. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 17: Fermion Quantization 1

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 17: Fermion Quantization 1

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  44. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 18: Fermion Quantization 2

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 18: Fermion Quantization 2

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  45. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 19: Fermion Quantization 3

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 19: Fermion Quantization 3

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  46. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 20: Fermion Quantization 4

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 20: Fermion Quantization 4

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  47. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 21: Fermion Quantization 5

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 21: Fermion Quantization 5

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  48. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 22: Fermion Quantization 6

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 22: Fermion Quantization 6

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  49. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 23: The S-Matrix Expansion in QED 1

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 23: The S-Matrix Expansion in QED 1

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
  50. Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 24: The S-Matrix Expansion in QED 2

    Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 24: The S-Matrix Expansion in QED 2

    Copyright reserved to Prof. Tripathy and NPTEL, Govt. of India. Duplication prohibited. Lectures: http://nptel.ac.in/courses/115106065/ Syllabus: http://nptel.ac.in/syllabus/syllabus.php?subjectId=115106065
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