The thermal instanton determinant in compact form

Abstract

The thermal instanton determinant for the gauge group $SU(2)$ can be reduced to a form involving two simple functions. Various boundary conditions can easily incorporated. Only a two dimensional integral has to be done numerically. As an example we compute the contribution to the free energy of $\mathcal{N}=1$ theory.

26 pages, 2 figures. This version contains a number of cosmetic improvements of the version appearing in PRD

References in corpus (8)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Quantum weights of dyons and of instantons with non-trivial holonomy
• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• More on Supersymmetric Domain Walls, N Counting and Glued Potentials
• Adjoint fermion zero-modes for SU(N) calorons
• Adjoint quarks and fermionic boundary conditions
• Highlights from BNL-RHIC 2011-2013

Cited by in corpus (5)

• The Myriad Uses of Instantons
• Fractional topological charge in $SU(N)$ gauge theories without dynamical quarks
• Higher topological charge in the QCD vacuum and axion cosmology
• Caloron correction to the effective potential in thermal gluodynamics
• Raymond and instantons: some recollections and the use of ADHM