Effective Critical Exponents from Finite Temperature Renormalization Group

dc.creatorStrickland, Michael
dc.creatorLiao, Sen-Ben
dc.date1996-04-30
dc.date.accessioned2026-07-07T04:22:04Z
dc.date.available2026-07-07T04:22:04Z
dc.descriptionEffective critical exponents for the λϕ^4 scalar field theory are calculated as a function of the renormalization group block size k_o^{-1} and inverse critical temperature β_c. Exact renormalization group equations are presented up to first order in the derivative expansion and numerical solutions are obtained with and without polynomial expansion of the blocked potential. For a finite temperature system in d dimensions, it is shown that \barβ_c = β_c k_o determines whether the d-dimensional (\barβ_c << 1) or (d+1)-dimensional (\barβ_c >> 1) fixed point governs the phase transition. The validity of a polynomial expansion of the blocked potential near criticality is also addressed.
dc.descriptionRevTeX, 8 pages, Short version of hep-th/9604125
dc.identifierhttps://arxiv.org/abs/hep-th/9604192
dc.identifierhttp://arxiv.org/abs/hep-th/9604192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54574
dc.subjectHigh Energy Physics - Theory
dc.titleEffective Critical Exponents from Finite Temperature Renormalization Group
dc.typetext

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