Investigations 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.accessioned2026-07-07T06:38:14Z
dc.date.available2026-07-07T06:38:14Z
dc.descriptionIn this work we perform a detailed numerical analysis of (1+1) dimensional lattice $ϕ^4$ theory. We explore the phase diagram of the theory with two different parameterizations. We find that symmetry breaking occurs only with a negative mass-squared term in the Hamiltonian. The renormalized mass $m_R$ and the field renormalization constant $Z$ are calculated from both coordinate space and momentum space propagators in the broken symmetry phase. The critical coupling for the phase transition and the critical exponents associated with $m_R$, $Z$ and the order parameter are extracted using a finite size scaling analysis of the data for several volumes. The scaling behavior of $Z$ has the interesting consequence that $<ϕ_R>$ does not scale in 1+1 dimensions. We also calculate the renormalized coupling constant $ λ_R$ in the broken symmetry phase. The ratio $ λ_R/m_R^2 $ does not scale and appears to reach a value independent of the bare parameters in the critical region in the infinite volume limit.
dc.descriptionRevTex, 26 pages, 20 eps figures, revised version
dc.identifierhttps://arxiv.org/abs/hep-lat/0506002
dc.identifierhttp://arxiv.org/abs/hep-lat/0506002
dc.identifierPhys.Rev. D72 (2005) 094503
dc.identifierdoi:10.1103/PhysRevD.72.094503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100669
dc.subjectHigh Energy Physics - Lattice
dc.titleInvestigations in 1+1 dimensional lattice $ϕ^4$ theory
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