Abelian 2-form gauge theory: special features

dc.creatorMalik, R. P.
dc.date2002-09-17
dc.date2003-04-26
dc.date.accessioned2026-07-07T10:49:27Z
dc.date.available2026-07-07T10:49:27Z
dc.descriptionIt is shown that the four $(3 + 1)$-dimensional (4D) free Abelian 2-form gauge theory provides an example of (i) a class of field theoretical models for the Hodge theory, and (ii) a possible candidate for the quasi-topological field theory (q-TFT). Despite many striking similarities with some of the key topological features of the two $(1 + 1)$-dimensional (2D) free Abelian (and self-interacting non-Abelian) gauge theories, it turns out that the 4D free Abelian 2-form gauge theory is {\it not} an exact TFT. To corroborate this conclusion, some of the key issues are discussed. In particular, it is shown that the (anti-)BRST and (anti-)co-BRST invariant quantities of the 4D 2-form Abelian gauge theory obey the recursion relations that are reminiscent of the exact TFTs but the Lagrangian density of this theory is not found to be able to be expressed as the sum of (anti-)BRST and (anti-)co-BRST exact quantities as is the case with the {\it topological} 2D free Abelian (and self-interacting non-Abelian) gauge theories.
dc.descriptionLaTeX, 23 pages, journal ref. given
dc.identifierhttps://arxiv.org/abs/hep-th/0209136
dc.identifierhttp://arxiv.org/abs/hep-th/0209136
dc.identifierJ.Phys.A36:5095-5114,2003
dc.identifierdoi:10.1088/0305-4470/36/18/314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184226
dc.subjectHigh Energy Physics - Theory
dc.titleAbelian 2-form gauge theory: special features
dc.typetext

Files

Collections