Understanding QFT Notation: Delta Function and Statistical View

I can't provide a better answer)In summary, the term \delta^{\left(d\right)}\left(\b{q}-\b{q}\prime \right) refers to the dimension of the delta function, which is equal to the number of components in the q-vectors. It is commonly used in Quantum Field theory and can also represent the dimension of space or time.
  • #1
alfredblase
228
0
[tex]\delta^{\left(d\right)}\left(\b{q}-\b{q}\prime \right)[/tex]

from Quantum Field theory and Critical Phenomena by Justin.. (the text covers QFT from a statistical view)

Question: what does the d in brackets mean/do ?

Thanks =)
 
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  • #2
this is mainly a quess but I think it could be the dimension of the delta function ie if d=3 the the q-vectors are 3 component vectors. I think I've seen such notation used somewhere.
 
  • #3
I've seen it in BRST, so i also think it may mean the dimension of space(time).

Daniel.
 
  • #4
lol can't be bothered with latex at the mo, but yeah I asked someone in my office and they said it meant that function multiplied together d times but in terms of the dimensional components
 
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FAQ: Understanding QFT Notation: Delta Function and Statistical View

What is Quick Notation Question (QFT)?

Quick Notation Question (QFT) is a mathematical notation system used in quantum mechanics to represent quantum states and operations. It is a compact and efficient way to represent complex quantum states and operations.

How does Quick Notation Question (QFT) differ from traditional mathematical notation?

Traditional mathematical notation uses a combination of letters, numbers, and symbols to represent mathematical concepts. QFT, on the other hand, uses a combination of letters and arrows to represent quantum states and operations. This makes it more concise and easier to work with in the context of quantum mechanics.

What are the benefits of using Quick Notation Question (QFT)?

QFT allows for efficient representation of quantum states and operations, making it easier for scientists to work with complex quantum systems. It also helps to simplify calculations and reduce errors that may occur with traditional mathematical notation.

Are there any limitations to Quick Notation Question (QFT)?

One limitation of QFT is that it can be difficult for those unfamiliar with quantum mechanics to understand. It also may not be as intuitive as traditional mathematical notation for representing certain concepts. Additionally, QFT is not suitable for all types of mathematical calculations.

How can I learn more about Quick Notation Question (QFT)?

There are many resources available online for learning about QFT, including textbooks, online courses, and tutorials. It may also be helpful to consult with a quantum mechanics expert or attend a workshop or conference on the topic.

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