THE SCHWINGER α-PARAMETRIC REPRESENTATION OF THE FINITE-TEMPERATURE FIELD THEORY: RENORMALIZATION II

1992 ◽  
Vol 07 (01) ◽  
pp. 193-200
Author(s):  
MABROUK BENHAMOU ◽  
AHMED KASSOU-OU-ALI
Keyword(s):  
Field Theory ◽  
Temperature Field ◽  
Theta Function ◽  
Finite Temperature ◽  
Parametric Representation ◽  
Field Theories ◽  
Zero Temperature ◽  
Scalar Theory ◽  
Charged Scalar ◽  
Finite Temperature Field Theory

We extend to finite-temperature field theories, involving charged scalar or nonvanishing spin particles, the α parametrization of field theories at zero temperature. This completes a previous work concerning the scalar theory. As there, a function θ, which contains all temperature dependence, appears in the α integrand. The function θ is an extension of the usual theta function. The implications of the α parametrization for the renormalization problem are discussed.

SCHWINGER α-PARAMETRIC REPRESENTATION OF FINITE TEMPERATURE FIELD THEORIES: RENORMALIZATION

1990 ◽  
Vol 05 (23) ◽  
pp. 4427-4440 ◽  
Author(s):  
M. BENHAMOU ◽  
A. KASSOU-OU-ALI
Keyword(s):  
Temperature Field ◽  
Scalar Field ◽  
Finite Temperature ◽  
Short Range ◽  
Parametric Representation ◽  
Field Theories ◽  
Compact Form ◽  
Zero Temperature ◽  
Feynman Amplitudes ◽  
Temperature Scalar

We present the extension of the zero temperature Schwinger α-representation to the finite temperature scalar field theories. We give, in a compact form, the α-integrand of Feynman amplitudes of these theories. Using this representation, we analyze short-range divergences, and recover in a simple way the known result that the counterterms are temperature-independent.

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.

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

Reorganizing Finite Temperature Field Theory: Part I.: Scalar Field Theory

2001 ◽  
Vol 16 (supp01c) ◽  
pp. 1277-1280 ◽  
Author(s):  
Michael Strickland
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Temperature Field ◽  
Finite Temperature ◽  
Weak Coupling ◽  
Weak Coupling Limit ◽  
Finite Temperature Field Theory ◽  
Expansion Point ◽  
Perturbative Limit ◽  
Standard Perturbation Theory

I present a method for self-consistently including the effects of screening in finite-temperature field theory calculations. The method reproduces the perturbative limit in the weak-coupling limit and for intermediate couplings this method has much better convergence than standard perturbation theory. The method relies on a reorganization of perturbation theory accomplished by shifting the expansion point used to calculate quantum loop corrections. I will present results from a three-loop calculation within this formalism for scalar λϕ4.

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