2008/09/30 by Indrajit Mitra, Mitra, Indrajit, H. S. Sharatchandra +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.0809.5175
12 pages; typos corrected, references added, other minor changes and additions
openalex publication_date 2008/09/30 · arxiv created 2008/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A gauge transformation provided by the three eigenfunctions of \Ba(x) ⋅ \Bb(x) (where \Ba(x), with a=1,2,3, are the non-Abelian magnetic fields) exposes the topological configurations of the Yang-Mills fields. In particular, it gives Dirac monopoles interacting with `photons' and massless charged vector bosons. A magnetic dipole field at each monopole corresponds to infinitesimal translation of the monopole, and provides the functional measure a la collective coordinates. The grand canonical partition function of the monopole plasma is exactly equivalent to a local field theory with certain scalar fields interacting with the Yang-Mills fields. This integrates topological degrees of freedom with perturbation theory.