Casimir effect and Stefan-Boltzmann law in Yang-Mills theory at finite temperature

Abstract

A non-Abelian gauge theory describes the strong interactions among particles with the commutator of generators are non-zero. An $SU(3)$ gauge theory describes the interactions that lead to nuclear forces among particles. The Lagrangian density refers to fermions with colour and flavour and the gauge field quanta implying gluons. The gauge theory is treated at finite temperature using the Thermo Field Dynamics (TFD). Using self interaction of gluons the Stefan-Boltzmann law and the Casimir effect are calculated at finite temperature. An appendix is attached to give a response of a massless quarks in gauge theory.

18 pages, 2 figures, accepted for publication in IJMPA

References in corpus (5)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Gravitational Casimir effect
• Quantum field theory on toroidal topology: algebraic structure and applications
• Quantum fields in toroidal topology
• Gravitational Casimir effect at finite temperature

Cited by in corpus (2)

• Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops
• Non-perturbative quantum Yang--Mills at finite temperature beyond lattice: a Dyson--Schwinger approach