scholarly journals Geometrically confined thermal field theory: Finite size corrections and phase transitions

2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Sylvain Mogliacci ◽  
Isobel Kolbé ◽  
W. A. Horowitz
Keyword(s):  
Field Theory ◽  
Phase Transitions ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Finite Size ◽  
Finite Size Corrections ◽  
Geometrically Confined

scholarly journals INTRODUCTION TO THERMAL FIELD THEORY

1993 ◽  
Vol 08 (32) ◽  
pp. 5605-5628 ◽  
Author(s):  
T. ALTHERR
Keyword(s):  
Field Theory ◽  
Phase Transitions ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Contour Method ◽  
Thermal Mass ◽  
Scalar Theory ◽  
The Third ◽  
Feynman Rules ◽  
Infrared Divergences

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.

scholarly journals Quantitative Test of Thermal Field Theory for Bose-Einstein Condensates

2003 ◽  
Vol 91 (25) ◽  
Author(s):  
S. A. Morgan ◽  
M. Rusch ◽  
D. A. W. Hutchinson ◽  
K. Burnett
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Quantitative Test ◽  
Bose Einstein

Quantum field theory (QFT) at finite temperature: Equilibrium properties

2021 ◽  
pp. 786-830
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Phase Transitions ◽  
High Temperature ◽  
Dimensional Reduction ◽  
Finite Temperature ◽  
Finite Size ◽  
Quantum Field ◽  
Statistical Field ◽  
Statistical Field Theory

Some equilibrium properties in statistical quantum field theory (QFT), that is, relativistic QFT at finite temperature are reviewed. Study of QFT at finite temperature is motivated by cosmological problems, high energy heavy ion collisions, and speculations about possible phase transitions, also searched for in numerical simulations. In particular, the situation of finite temperature phase transitions, or the limit of high temperature (an ultra-relativistic limit where the temperature is much larger than the physical masses of particles) are discussed. The concept of dimensional reduction emerges, in many cases, statistical properties of finite-temperature QFT in (1, d − 1) dimensions can be described by an effective classical statistical field theory in (d − 1) dimensions. Dimensional reduction generalizes a property already observed in the non-relativistic example of the Bose gas, and indicates that quantum effects are less important at high temperature. The corresponding technical tools are a mode-expansion of fields in the Euclidean time variable, singling out the zero modes of boson fields, followed by a local expansion of the resulting (d − 1)-dimensional effective field theory (EFT). Additional physical intuition about QFT at finite temperature in (1, d−1) dimensions can be gained by considering it as a classical statistical field theory in d dimensions, with finite size in one dimension. This identification makes an analysis of finite temperature QFT in terms of the renormalization group (RG), and the theory of finite-size effects of the classical theory, possible. These ideas are illustrated with several simple examples, the φ4 field theory, the non-linear σ-model, the Gross–Neveu model and some gauge theories.

scholarly journals THERMAL FIELD THEORY IN A WIRE: APPLICATIONS OF THERMAL FIELD THEORY METHODS TO THE PROPAGATION OF PHOTONS IN A ONE-DIMENSIONAL PLASMA

2011 ◽  
Vol 26 (32) ◽  
pp. 5387-5402 ◽  
Author(s):  
JOSÉ F. NIEVES
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Free Field ◽  
Dynamical Variable ◽  
Effective Field ◽  
Dispersion Relations ◽  
One Dimensional ◽  
Self Energy ◽  
The One

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.

scholarly journals On normal ordering and canonical transformations in thermal field theory

1999 ◽  
Vol 32 (7) ◽  
pp. 1185-1195 ◽  
Author(s):  
M Blasone ◽  
T S Evans ◽  
D A Steer ◽  
G Vitiello
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Canonical Transformations ◽  
Normal Ordering

scholarly journals Perturbative nonequilibrium thermal field theory

2013 ◽  
Vol 88 (8) ◽  
Author(s):  
Peter Millington ◽  
Apostolos Pilaftsis
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Thermal Field
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