Fermionic determinant for SU(N) caloron with nontrivial holonomy

Abstract

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.

17 pages, 2 figures, grammar corrections, introduction revised

References in corpus (16)

• Periodic Instantons with non-trivial Holonomy
• SU(2) Calorons and Magnetic Monopoles
• Monopole Constituents inside SU(n) Calorons
• Monopoles and Instantons on Partially Compactified D-Branes
• Exact T-duality between Calorons and Taub-NUT spaces
• Quantum weights of dyons and of instantons with non-trivial holonomy
• Electromagnetic Duality and $SU(3)$ Monopoles
• Massive and massless monopoles with nonabelian magnetic charges
• Multi-Caloron solutions
• Higher charge calorons with non-trivial holonomy
• SU(N) caloron measure and its relation to instantons
• Instantons, Monopoles and Toric HyperKaehler Manifolds
• Monopole determinant in Yang--Mills theory at finite temperature
• Spontaneous breaking of color in N=1 Super Yang-Mills theory without matter
• Application of the Large-N_c limit to a Chiral Lagrangian with Resonances
• Fermionic determinant for dyons and instantons with nontrivial holonomy

Cited by in corpus (7)

• Multi-Calorons Revisited
• Determinant of the SU(N) caloron with nontrivial holonomy
• Magnetically Charged Calorons with Non-Trivial Holonomy
• Cyclic Calorons
• Determinants in QCD at finite temperature
• Symmetric calorons of higher charges and their large period limits
• Caloron correction to the effective potential in thermal gluodynamics