scholarly journals Renormalization and resummation in finite temperature field theories

2005 ◽  
Vol 71 (10) ◽  
Author(s):  
A. Jakovác ◽  
Zs. Szép
Keyword(s):  
Temperature Field ◽  
Finite Temperature ◽  
Field Theories

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.

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.

scholarly journals DIFFERENTIAL RENORMALIZATION FOR CURVED SPACE AND FINITE TEMPERATURE

1995 ◽  
Vol 10 (19) ◽  
pp. 2819-2839 ◽  
Author(s):  
JORDI COMELLAS ◽  
PETER E. HAAGENSEN ◽  
JOSÉ I. LATORRE
Keyword(s):  
Finite Temperature ◽  
Field Theories ◽  
Coordinate Space ◽  
Renormalization Procedure ◽  
Central Idea ◽  
Curved Space ◽  
Diffeomorphism Invariance ◽  
Differential Renormalization ◽  
Specific Calculations ◽  
Scalar Theories

We derive, based only on simple principles of renormalization in coordinate space, closed renormalized amplitudes and renormalization group constants at one- and two-loop orders for scalar field theories in general backgrounds. This is achieved through a renormalization procedure we develop exploiting the central idea behind differential renormalization, which needs as the only inputs the propagator and the appropriate Laplacian for the backgrounds in question. We work out this coordinate space renormalization in some detail, and subsequently back it up with specific calculations for scalar theories both on curved backgrounds, manifestly preserving diffeomorphism invariance, and at finite temperature.

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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