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19 April 2024 |
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Real time statistical field theory | | M. E. Carrington
; T. Fugleberg
; D. S. Irvine
; D. Pickering
; | | Date: |
28 Aug 2006 | | Abstract: | We have written a {it Mathematica} program that calculates the integrand corresponding to any amplitude in the closed-time-path formulation of real time statistical field theory. The program is designed so that it can be used by someone with no previous experience with {it Mathematica}. It performs the contractions over the tensor indices that appear in real time statistical field theory and gives the result in the 1-2, Keldysh or RA basis. We have used the program to calculate the ward identity for the QED 3-point function, the QED 4-point function for two photons and two fermions, and the QED 5-point function for three photons and two fermions. In real time statistical field theory, there are seven 3-point functions, 15 4-point functions and 31 5-point functions. We produce a table that gives the results for all of these functions. In addition, we give a simple general expression for the KMS conditions between $n$-point green functions and vertex functions, in both the Keldysh and RA bases | | Source: | arXiv, hep-ph/0608298 | | Services: | Forum | Review | PDF | Favorites | |
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