Fermionic determinant for SU(N) caloron with nontrivial holonomy

Details Fermionic determinant for SU(N) caloron with nontrivial holonomy Fermionic determinant for SU(N) caloron with nontrivial holonomy

2005-07-11

arxiv.org/abs/hep-th/0507101v4

Phys.Rev. D73 (2006) 025022

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 2 figures, grammar corrections, introduction revised

Scientific paper

10.1103/PhysRevD.73.025022

In the finite-temperature Yang-Mills theory we calculate the functional determinant for fermions in the fundamental representation of the SU(N) in the background of an instanton with non-trivial values of the Polyakov line at spatial infinity. This object, called the Kraan--van Baal -- Lee--Lu caloron, can be viewed as composed of N Bogomolny--Prasad--Sommerfeld monopoles (or dyons). We compute analytically two leading terms of the fermionic determinant at large separations between dyons.

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