SU(N) caloron measure and its relation to instantons

Journal Article · Fri Jul 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.025003· OSTI ID:20711157

Diakonov, Dmitri ^[1]; Gromov, Nikolay ^[2]

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1. NORDITA, Blegdamsvej 17, DK-2100 Copenhagen (Denmark)
2. St. Petersburg State University, Faculty of Physics, Peterhof, 198 904, St. Petersburg (Russian Federation)

Calorons of the SU(N) gauge group with nontrivial holonomy, i.e. periodic instantons with arbitrary eigenvalues of the Polyakov line at spatial infinity, can be viewed as composed of N Bogomolnyi-Prasad-Sommerfeld monopoles or dyons. Using the metric of the caloron moduli space found previously we compute the integration measure over caloron collective coordinates in terms of the constituent monopole positions and their U(1) phases. In the limit of small separations between dyons and/or trivial holonomy, calorons reduce locally to the standard instantons whose traditional collective coordinates are the instanton center, size, and orientation in the color space. We show that in this limit the instanton collective coordinates can be explicitly written through dyons' positions and phases, and that the N-dyon measure coincides exactly with the standard instanton one.

• OSTI ID: 20711157
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COORDINATES
DYONS
EIGENFUNCTIONS
GAUGE INVARIANCE
INSTANTONS
MONOPOLES
PERIODICITY
QUANTUM FIELD THEORY
SU GROUPS
U-1 GROUPS
UNITARY SYMMETRY