Declare a Commutation Relationship in FeynCalc

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SUMMARY

The discussion centers on the challenges faced by a user attempting to declare a commutation relationship in FeynCalc, a Quantum Field Theory extension for Mathematica. The user refers to problem 3.1 from Peskin & Schroeder, expressing difficulty in expressing the relationship between two tensors with different indices. Feedback from a tutor indicates that FeynCalc is not designed for this specific operation, suggesting the user explore alternative tools for their needs.

PREREQUISITES
  • FeynCalc version compatible with Mathematica
  • Understanding of Quantum Field Theory (QFT) concepts
  • Familiarity with tensor algebra
  • Basic knowledge of Mathematica programming
NEXT STEPS
  • Explore alternative tools for tensor operations in QFT, such as FORM or Cadabra
  • Learn about tensor commutation relations in Quantum Field Theory
  • Study the FeynCalc documentation for advanced features
  • Review Peskin & Schroeder for deeper insights into QFT problems
USEFUL FOR

Students and researchers in Quantum Field Theory, Mathematica users seeking to perform tensor operations, and anyone looking to enhance their understanding of FeynCalc's capabilities.

ShadowMeson
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Homework Statement


I am a rookie to the QFT extension in Mathematica called FeynCalc, and tried to use that into solving some quiz. Soon I met a problem upon some condition presented in a problem which declares an relation of two same tensor with different indices results in some value when commuted. I don't know how to express such relationship nor how intelligent the program is in dealing with that.

Homework Equations


Thai problem is Peskin&Schroeder 3.1.

The Attempt at a Solution


Searched the document and examples, no practical suggestions found yet.
 
Got the response from my kind of tutor that such operation ain't the focus of FeynCalc and I shall focus on other tools.
 

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