Fermionic determinant for dyons and instantons with nontrivial holonomy
Journal Article
·
· Physical Review. D, Particles Fields
- St. Petersburg NPI, Gatchina, 188 300, St. Petersburg (Russian Federation)
We calculate exactly the functional determinant for fermions in fundamental representation of SU(2) in the background of periodic instanton with nontrivial value of the Polyakov line at spatial infinity. The determinant depends on the value of the holonomy v, the temperature, and the parameter r{sub 12}, which at large values can be treated as separation between the Bogomol'nyi-Prasad-Sommerfield monopoles monopoles (or dyons) which constitute the periodic instanton. We find a compact expression for small and large r{sub 12} and compute the determinant numerically for arbitrary r{sub 12} and v.
- OSTI ID:
- 20709607
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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