The thermal instanton determinant in compact form

C. P. Korthals Altes (1, 2, 3) , Alfonso Sastre (4)

1 CPT - E1 Physique des particules
2 NIKHEF - National Institute for Subatomic Physics [Amsterdam]
3 CPT - Centre de Physique Théorique - UMR 7332
4 Department of Physics, Faculty of Mathematics und Natural Sciences [Wuppertal]

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique des Hautes Energies - Réseau [hep-lat]; Physique des Hautes Energies - Phénoménologie [hep-ph]

C. P. Korthals Altes, Alfonso Sastre. The thermal instanton determinant in compact form. Physical Review D, 2014, 90 (12), pp.125002. ⟨10.1103/PhysRevD.90.125002⟩. ⟨hal-01252432⟩