Accounting for monopole configurations in Yang-Mills theory in three Euclidean dimensions

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dc.creatorMitra, Indrajit
dc.creatorSharatchandra, H. S.
dc.date2008-09-30
dc.date2008-10-29
dc.date.accessioned2026-07-07T10:19:05Z
dc.date.available2026-07-07T10:19:05Z
dc.descriptionA gauge transformation provided by the three eigenfunctions of $\B^a(x) \cdot \B^b(x)$ (where $\B^a(x)$, 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.
dc.description12 pages; typos corrected, references added, other minor changes and additions
dc.identifierhttps://arxiv.org/abs/0809.5175
dc.identifierhttp://arxiv.org/abs/0809.5175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174380
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleAccounting for monopole configurations in Yang-Mills theory in three Euclidean dimensions
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