Simplifying calculations in real time finite temperature field theory

2007 ◽  
Vol 85 (6) ◽  
pp. 671-677
Author(s):  
T Fugleberg ◽  
M E Carrington
Keyword(s):  
Field Theory ◽  
Temperature Field ◽  
Real Time ◽  
Finite Temperature ◽  
Quantum Electrodynamics ◽  
Previous Experience ◽  
Ward Identities ◽  
Finite Temperature Field Theory ◽  
Time Path ◽  
11.10 Wx

In this paper, we discuss a Mathematica program that we have written that calculates the integrand for amplitudes in the closed-time-path formulation of real-time finite-temperature field theory. The program is designed to be used by someone with no previous experience with Mathematica. It performs contractions over tensor indices that appear in real-time finite-temperature field theory and gives the result in the 1-2, Keldysh or R/A basis. As an illustration of this program, we discuss the calculation of all 3-point ward identities in finite-temperature quantum electrodynamics with full vertices. PACS Nos.: 11.10.Wx,11.15.-q

scholarly journals Cutting Rules at Finite Temperature

1997 ◽  
Vol 12 (33) ◽  
pp. 2481-2496 ◽  
Author(s):  
Paulo F. Bedaque ◽  
Ashok Das ◽  
Satchidananda Naik
Keyword(s):  
Field Theory ◽  
Temperature Field ◽  
Real Time ◽  
Imaginary Part ◽  
Physical Interpretation ◽  
Finite Temperature ◽  
Zero Temperature ◽  
Finite Temperature Field Theory ◽  
The Real

We discuss the cutting rules in the real-time approach to finite temperature field theory and show the existence of cancellations among classes of cut graphs which allows a physical interpretation of the imaginary part of the relevant amplitude in terms of the underlying microscopic processes. Furthermore, with these cancellations, any calculation of the imaginary part of an amplitude becomes much easier and completely parallel to the zero temperature case.

THE CONTRIBUTION OF THE VERTICAL PART OF THE REAL-TIME CONTOUR IN FINITE TEMPERATURE FIELD THEORY: FINITE TEMPERATURE FIELD THEORY

2001 ◽  
Vol 16 (32) ◽  
pp. 2059-2065
Author(s):  
ALI AL-NAGHMOOSH ◽  
SULEIMAN S. AL-THOYAIB ◽  
M. O. TAHA
Keyword(s):  
Field Theory ◽  
Temperature Field ◽  
Real Time ◽  
Finite Temperature ◽  
Real Parameter ◽  
Finite Temperature Field Theory ◽  
The Real ◽  
Vertical Part

We investigate the contribution of the vertical part of the real-time contour in finite temperature field theory. For this purpose we parametrize the contour C in the complex x0-plane by a single real parameter t. We prove the existence of a nonvanishing vertical contribution.

Finite-temperature field theory with a cutoff

1993 ◽  
Vol 47 (3) ◽  
pp. 1219-1224 ◽  
Author(s):  
P. Amte ◽  
C. Rosenzweig
Keyword(s):  
Field Theory ◽  
Temperature Field ◽  
Finite Temperature ◽  
Finite Temperature Field Theory
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