Gauge theories at finite temperature and the background field method

1990 ◽  
Vol 242 (3-4) ◽  
pp. 412-414 ◽  
Author(s):  
J. Antikainen ◽  
M. Chaichian ◽  
N.R. Pantoja ◽  
J.J. Salazar
Keyword(s):  
Finite Temperature ◽  
Gauge Theories ◽  
Background Field ◽  
Field Method ◽  
Background Field Method

Quantum gauge theories

2021 ◽  
pp. 223-268
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Gauge Theories ◽  
Brst Symmetry ◽  
Background Field ◽  
Field Method ◽  
Extensive Discussion ◽  
Functional Integrals ◽  
Yang Mills ◽  
Gauge Dependence ◽  
Background Field Method ◽  
Popov Method

This chapter, which is the last chapter in Part I, is devoted to an extensive discussion of quantum gauge theories, which is based on functional integrals and Lagrangian quantization. After introducing the notion of a Yang-Mills gauge theory, the Faddeev-Popov method (also known as the DeWitt-Faddeev-Popov procedure) is explained. Starting from this point, the BRST symmetry is formulated, and the corresponding Ward identities (called Slavnov-Taylor identities in some cases) established. More specialized subjects, such as the gauge dependence of effective action and the background field method, are dealt with in detail. In addition, Yang-Mills theory is analyzed as a primary example of general theorems concerning the renormalization of gauge theories.

scholarly journals Background field method at finite temperature and density

2006 ◽  
Vol 635 (4) ◽  
pp. 213-217 ◽  
Author(s):  
M. Loewe ◽  
S. Mendizabal ◽  
J.C. Rojas
Keyword(s):  
Finite Temperature ◽  
Background Field ◽  
Field Method ◽  
Background Field Method

Evolution of Coupling Constant in Hot QCD

1997 ◽  
Vol 06 (01) ◽  
pp. 45-64
Author(s):  
M. Chaichian ◽  
M. Hayashi
Keyword(s):  
Finite Temperature ◽  
Lorentz Invariance ◽  
Background Field ◽  
Field Method ◽  
Renormalization Group Equation ◽  
Group Equation ◽  
Coupling Constant ◽  
Time Formalism ◽  
Background Field Method ◽  
The One

The evolution of QCD coupling constant at finite temperature is considered by making use of the finite temperature renormalization group equation up to the one-loop order in the background field method with the Feynman gauge and the imaginary time formalism. The results are compared with the ones obtained in the literature. We point out, in particular, the origin of the discrepancies between different calculations, such as the choice of gauge, the breakdown of Lorentz invariance, imaginary versus real time formalism and the applicability of the Ward identities at finite temperature.

One-loop calculation of the background field quantum-chromodynamic β function

1993 ◽  
Vol 71 (5-6) ◽  
pp. 237-240 ◽  
Author(s):  
M. A. van Eijck
Keyword(s):  
Field Theory ◽  
Finite Temperature ◽  
Background Field ◽  
Landau Gauge ◽  
Field Method ◽  
Gauge Invariant ◽  
Finite Temperature Field Theory ◽  
Background Field Method ◽  
Β Function ◽  
Invariant Quantum

We present a one-loop calculation of a gauge invariant quantum-chromodynamic β function at finite temperature with rules coming from the background field method in the Landau gauge and from the retarded and advanced formulation of finite-temperature field theory.

scholarly journals NONCOMMUTATIVITY AND NON-ANTICOMMUTATIVITY PERTURBATIVE QUANTUM GRAVITY

2012 ◽  
Vol 27 (13) ◽  
pp. 1250075 ◽  
Author(s):  
MIR FAIZAL
Keyword(s):  
Quantum Gravity ◽  
Lagrangian Density ◽  
Background Field ◽  
Field Method ◽  
Gauge Fixing ◽  
Perturbative Quantum ◽  
Background Field Method

In this paper, we will study perturbative quantum gravity on supermanifolds with both noncommutativity and non-anticommutativity of spacetime coordinates. We shall first analyze the BRST and the anti-BRST symmetries of this theory. Then we will also analyze the effect of shifting all the fields of this theory in background field method. We will construct a Lagrangian density which apart from being invariant under the extended BRST transformations is also invariant under on-shell extended anti-BRST transformations. This will be done by using the Batalin–Vilkovisky (BV) formalism. Finally, we will show that the sum of the gauge-fixing term and the ghost term for this theory can be elegantly written down in superspace with a two Grassmann parameter.

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