Functional Integration and Feynman rules

In summary, Functional Integration is a mathematical technique used in quantum field theory to calculate the probability of particle interactions by integrating over all possible paths. It is an essential component of Feynman rules, which are used to efficiently and accurately calculate these probabilities. While it has many benefits, such as incorporating all possible interactions, it also has limitations in terms of complexity and accuracy. Functional Integration and Feynman rules are extensively used in theoretical physics and have practical applications in fields such as particle physics, condensed matter physics, and cosmology.
  • #1
silverwhale
84
2
Hallo Everybody,

I am searching for a book (or lecture notes) that details the calculations that lead me from a given Lagrangian to the Feynman rules of the theory. It should not be rigouros, just the main steps to get the Feynman rules.

Thanks for your help!
 
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  • #2
This should be in any textbook on quantum field theory. Have you gried the standard references such as Peskin-Schröder?
 
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Likes silverwhale
  • #3
I'll take a look at Peskin Schröder and report.
 

Related to Functional Integration and Feynman rules

1. What is Functional Integration?

Functional Integration is a mathematical technique used in quantum field theory to calculate the probability of a particle interacting with other particles over time. It is based on the principle of superposition and involves integrating over all possible paths that a particle can take.

2. How does Functional Integration relate to Feynman rules?

Feynman rules are a set of mathematical rules used in quantum field theory to calculate the probability of particle interactions. Functional Integration is a key component of these rules, as it allows for the calculation of amplitudes for all possible paths of particle interactions.

3. What are the benefits of using Functional Integration and Feynman rules?

Using Functional Integration and Feynman rules allows for a more efficient and accurate calculation of particle interaction probabilities in quantum field theory. It also allows for the incorporation of all possible interactions between particles, making it a more comprehensive approach.

4. Are there any limitations to using Functional Integration and Feynman rules?

One limitation of using Functional Integration and Feynman rules is that it can be computationally intensive and complex for systems with a large number of particles. Additionally, it may not accurately describe certain physical phenomena, such as strong interactions in particle physics.

5. How is Functional Integration and Feynman rules used in practical applications?

Functional Integration and Feynman rules are used extensively in theoretical physics, particularly in the field of quantum field theory. They are also used in particle physics experiments to predict and analyze the results of particle interactions. Additionally, they have applications in other fields such as condensed matter physics and cosmology.

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