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 (4)

• Adjoint QCD on ${\mathbb{R}}^3\times S^1$ with twisted fermionic boundary conditions
• Adjoint fermion zero-modes for SU(N) calorons
• Adjoint quarks and fermionic boundary conditions
• Highlights from BNL-RHIC 2011-2013

Cited by in corpus (2)

• Caloron correction to the effective potential in thermal gluodynamics
• Raymond and instantons: some recollections and the use of ADHM