# The thermal instanton determinant in compact form

1 CPT - E1 Physique des particules
CPT - Centre de Physique Théorique - UMR 7332
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.
Document type :
Journal articles
Domain :

https://hal.archives-ouvertes.fr/hal-01252432
Contributor : Stéphanie Suciu <>
Submitted on : Thursday, January 7, 2016 - 3:37:32 PM
Last modification on : Wednesday, September 5, 2018 - 2:22:01 PM

### Citation

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

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