Feynman rules Definition and 106 Threads
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A Feynman rules for Entangled photons
Should we add to the usual amplitude (sum over all extremal paths of this photon) also the amplitude of the other photon of the pair?- Quant
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- Replies: 31
- Forum: Quantum Interpretations and Foundations
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A Derivation of free fields... coefficient question
Editing... Please be patient! I came across this difficulty comparing several versions of the Feynman rules for QED. I traced the problem back to a statement of Weinberg's in "The Quantum Theory of Fields (Vol 1)", Chapter 5, page 195. Weinberg is busy setting up for deriving free field...- topsquark
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- Feynman rules Qed Weinberg
- Replies: 5
- Forum: High Energy, Nuclear, Particle Physics
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E
I Schwartz derivation of the Feynman rules for scalar fields
Hi everyone, In his book "Quantum field theory and the standard model", Schwartz derives the position-space Feynman rules starting from the Schwinger-Dyson formula (section 7.1.1). I have two questions about his derivation. 1) As a first step, he rewrites the correlation function as $$...- eoghan
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- Replies: 1
- Forum: Quantum Physics
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E
A HQET Feynman Rule: QCD Interaction Vertex Explained
Several texts state the vertex HQET Feynman rule as : igTijvμ\frac{1}{1+\slashed{v}} with the reasoning for vμ presented as being due to the QCD interaction vertex being between two heavy quark propagators, which are \frac{1+\slashed{v}}{2v.k}, giving ...- Elmo
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- Replies: 2
- Forum: High Energy, Nuclear, Particle Physics
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M
Feynman rules and the tree level cross section of two scalar fields
Hi there. I'm trying to solve the problem mentioned above, the thing is I'm truly lost and I don't know how to start solving this problem. Sorry if I don't have a concrete attempt at a solution. How do I derive the Feynman rules for this Lagrangian? What I think happens is that in momentum...- MT777
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- Replies: 6
- Forum: Advanced Physics Homework Help
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Deriving Feynman rules out of a generating functional
To approach the problem I first studied section 1.3 and, more importantly, 1.4 of Osborn's notes. We first need to compute ##\partial_j \omega_i (x)## and ##\omega_i (x)\omega_i (x)## \begin{equation*} \partial_j \omega_i (x) = \delta_{ij} + \underbrace{\partial_j (g_{ilm})}_{=0}x_l x_m +...- JD_PM
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- Replies: 1
- Forum: Advanced Physics Homework Help
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I Understanding how to derive the Feynman rules out of the path integral
I am studying interacting scalar fields (from Osborn) using the path integral approach. We define the functional integral \begin{equation*} Z[J] := \int d[\phi] e^{iS[\phi] + i\int d^d x J(x) \phi(x)} \tag{1} \end{equation*} The idea is to differentiate ##Z[J]## with respect to ##J## and end...- JD_PM
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- Replies: 33
- Forum: Quantum Physics
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Feynman Rules on ##\phi^3, \phi^4## theory
Let us first take the S-matrix expansion (i.e. Dyson's formula) \begin{align*} S_{fi}&=\langle f | T \left\{ \exp\left( i\frac{\lambda_3}{3!}\int d^4 x :\phi \phi \phi (x) : + i\frac{\lambda_4}{4!}\int d^4 x :\phi \phi \phi \phi (x) : \right) \right\}| i \rangle \\ &= \langle f | i...- JD_PM
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- Feynman Feynman rules Rules Theory
- Replies: 59
- Forum: Advanced Physics Homework Help
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I Feynman rules on a ##\phi^3, \phi^4## theory
The weakly coupled theory is given by the Lagrange density$$\mathcal{L}=\mathcal{L}_0 + \mathcal{L}_I=\frac 1 2 \partial_{\mu} \phi \partial^{\mu} \phi - \frac{m^2}{2} \phi^2 - \frac{\lambda_3}{3!} \phi^3 - \frac{\lambda_4}{4!} \phi^4 \tag{1}$$ Where \begin{equation*} \mathcal{L}_0 = \frac...- JD_PM
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- Feynman Feynman rules Rules Theory
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- Forum: Quantum Physics
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I Calculating 2nd Order Scattering Amplitude: Feynman Diagrams
In the following I will try to deduce the scattering amplitude for a specific interaction. My question is at the bottom, the entire rest is my reasoning to explain how I came to the results I present. My working Let's assume I would like to calculate the second order scattering amplitude in ##... -
A Trace of a product of Dirac Matrices in a Fermion loop
I'm working out the quark loop diagram and I've drawn it as follows: where the greek letters are the Lorentz and Dirac indices for the gluon and quark respectively and the other letters are color indices. For this diagram I've written...- RicardoMP
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- Replies: 5
- Forum: Quantum Physics
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D
Calculating Divergent Amplitude in Phi-4 Theory
For the diagram In scalar field theory, I have obtained an integral which looks like $$\int_{0}^{\Lambda} \frac{d^4 q}{(2\pi)^4} \frac{i}{q^2 - m^2 + i\varepsilon} \frac{i}{(p - q)^2 - m^2 + i\varepsilon}$$ I am required to calculate this and obtain the divergent amplitude $$i\mathcal{M} =...- Daniel_C
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- Replies: 1
- Forum: Advanced Physics Homework Help
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Feynman rules for ##\phi^3## theory
This is one of the problems I'm currently working on but understanding how to deduce the Feynman rules for this case would give me a better idea on how to do it for more general cases besides ##\phi^4## theory (which is the example commonly covered in books like Peskin and Greiner). 1. Homework...- CharlieCW
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- Feynman Feynman rules Rules Theory
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- Forum: Advanced Physics Homework Help
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 1: Introduction
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 2: Introduction to Classical Field Theory
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 3: Quantization of Real Scalar Field - 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 4: Quantization of Real Scalar Field - 2
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 5: Quantization of Real Scalar Field - 3
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 6: Quantization of Real Scalar Field - 4
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 7: Quantization of Complex Scalar Field
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 8: Interacting Field Theory - 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 9: Interacting Field Theory -2
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 10: Interacting Field Theory - 3
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 11: Interacting Field Theory - 4
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 12: Interacting Field Theory - V
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 13: Interacting Field Theory - VI
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 14: Interacting Field Theory - 7
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 15: Quantization of Electromagnetic Field 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 16: Quantization of Electromagnetic Field 2
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 17: Fermion Quantization 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 18: Fermion Quantization 2
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 19: Fermion Quantization 3
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 20: Fermion Quantization 4
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 21: Fermion Quantization 5
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 22: Fermion Quantization 6
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 23: The S-Matrix Expansion in QED 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 24: The S-Matrix Expansion in QED 2
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 25: Feynman Rules in QED 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 26: Feynman Rules in QED 2
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 27: Compton Scattering 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 28: Compton Scattering 2
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 30: Moller Scattering 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 31: Moller Scattering 2
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 32: Vertex Correction 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 33: Vertex Correction 2
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 34: Vertex Correction 3
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 35: Vertex Correction 4
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 36: Electron Self-energy
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 37: Photon Self-energy 1
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Quantum Field Theory by Dr. Prasanta Tripathy (NPTEL):- Lecture - 38: Photon Self-energy 2
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