Topological charge in 1+1 dimensional lattice $ϕ^4$ theory

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dc.creatorDe, Asit K.
dc.creatorHarindranath, A.
dc.creatorMaiti, Jyotirmoy
dc.creatorSinha, Tilak
dc.date2005-06-03
dc.date2005-11-10
dc.date.accessioned2026-07-07T06:38:15Z
dc.date.available2026-07-07T06:38:15Z
dc.descriptionWe investigate the topological charge in 1+1 dimensional $ϕ^4$ theory on a lattice with Anti Periodic Boundary Condition (APBC) in the spatial direction. We propose a simple order parameter for the lattice theory with APBC and we demonstrate its effectiveness. Our study suggests that kink condensation is a possible mechanism for the order-disorder phase transition in the 1+1 dimensional $ϕ^4$ theory. With renormalizations performed on the lattice with Periodic Boundary Condition (PBC), the topological charge in the renormalized theory is given as the ratio of the order parameters in the lattices with APBC and PBC. We present a comparison of topological charges in the bare and the renormalized theory and demonstrate invariance of the charge of the renormalized theory in the broken symmetry phase.
dc.descriptionRevTex, 14 pages, 12 eps figures, minor changes
dc.identifierhttps://arxiv.org/abs/hep-lat/0506003
dc.identifierhttp://arxiv.org/abs/hep-lat/0506003
dc.identifierPhys.Rev. D72 (2005) 094504
dc.identifierdoi:10.1103/PhysRevD.72.094504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100670
dc.subjectHigh Energy Physics - Lattice
dc.titleTopological charge in 1+1 dimensional lattice $ϕ^4$ theory
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