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2014

The thermal instanton determinant in compact form

Altes, Chris. P. Korthals, Sastre, Alfonso

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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.

The thermal instanton determinant in compact form · Around

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We use the word caloron for those periodic instantons which have trivial or non-trivial holonomy, i.e. they are spatially asymptoting into a (non-)trivial Polyakov loop. The case considered here with trivial Polyakov loop is called the thermal instanton, or HS caloron

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