scholarly journals INTRODUCTION TO THERMAL FIELD THEORY

1993 ◽  
Vol 08 (32) ◽  
pp. 5605-5628 ◽  
Author(s):  
T. ALTHERR

This is a very basic introduction and short (and of course incomplete) overview of thermal field theory. In the first part, I introduce the thermal propagator at a very simple level and give the Feynman rules using the time-path contour method. In the second part, I give examples of these rules in scalar theory and discuss the origin of the thermal mass and other important effects as infrared divergences and phase transitions. In the third part, I outline the resummation program of Braaten and Pisarski.

Author(s):  
Mahfuzur Rahaman ◽  
Trambak Bhattacharyya ◽  
Jan-e Alam

Classical and quantum Tsallis distributions have been widely used in many branches of natural and social sciences. But, the quantum field theory of the Tsallis distributions is relatively a less explored arena. In this paper, we derive the expression for the thermal two-point functions in the Tsallis statistics with the help of the corresponding statistical mechanical formulations. We show that the quantum Tsallis distributions used in the literature appear in the thermal part of the propagator much in the same way the Boltzmann–Gibbs distributions appear in the conventional thermal field theory. As an application of our findings, we calculate the thermal mass in the [Formula: see text] scalar field theory within the realm of the Tsallis statistics.


2003 ◽  
Vol 91 (25) ◽  
Author(s):  
S. A. Morgan ◽  
M. Rusch ◽  
D. A. W. Hutchinson ◽  
K. Burnett

2011 ◽  
Vol 26 (32) ◽  
pp. 5387-5402 ◽  
Author(s):  
JOSÉ F. NIEVES

The Thermal Field Theory methods are applied to calculate the dispersion relation of the photon propagating modes in a strictly one-dimensional (1D) ideal plasma. The electrons are treated as a gas of particles that are confined to a 1D tube or wire, but are otherwise free to move, without reference to the electronic wave functions in the coordinates that are transverse to the idealized wire, or relying on any features of the electronic structure. The relevant photon dynamical variable is an effective field in which the two space coordinates that are transverse to the wire are collapsed. The appropriate expression for the photon free-field propagator in such a medium is obtained, the one-loop photon self-energy is calculated and the (longitudinal) dispersion relations are determined and studied in some detail. Analytic formulas for the dispersion relations are given for the case of a degenerate electron gas, and the results differ from the long-wavelength formula that is quoted in the literature for the strictly 1D plasma. The dispersion relations obtained resemble the linear form that is expected in realistic quasi-1D plasma systems for the entire range of the momentum, and which have been observed in this kind of system in recent experiments.


1999 ◽  
Vol 32 (7) ◽  
pp. 1185-1195 ◽  
Author(s):  
M Blasone ◽  
T S Evans ◽  
D A Steer ◽  
G Vitiello

2013 ◽  
Vol 88 (8) ◽  
Author(s):  
Peter Millington ◽  
Apostolos Pilaftsis

Pramana ◽  
2000 ◽  
Vol 55 (1-2) ◽  
pp. 113-124
Author(s):  
François Gelis

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