Exact renormalization group flow equations for free energies and N-point functions in uniform external fields

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dc.creatorGolner, Geoffrey R.
dc.date1998-01-18
dc.date2000-04-23
dc.date.accessioned2026-07-07T04:24:08Z
dc.date.available2026-07-07T04:24:08Z
dc.descriptionWe project the Wilson/Polchinski renormalization group equation onto its uniform external field dependent effective free energy and connected Green's functions. The result is a hierarchy of equations which admits a choice of "natural" truncation and closure schemes for nonperturbative approximate solution. In this way approximation schemes can be generated which avoid power series expansions in either fields or momenta. When following one closure scheme the lowest order equation is the mean field approximation, while another closure scheme gives the "local potential approximation." Extension of these closure schemes to higher orders leads to interesting new questions regarding truncation schemes and the convergence of nonperturbative approximations. One scheme, based on a novel "momentum cluster decomposition" of the connected Green's functions, seems to offer new possibilities for accurate nonperturbative successive approximation.
dc.description21 pages, LaTeX; citation clarified, corrected Section 4 material on continuum limit, simplified Section 6 notation
dc.identifierhttps://arxiv.org/abs/hep-th/9801124
dc.identifierhttp://arxiv.org/abs/hep-th/9801124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55295
dc.subjectHigh Energy Physics - Theory
dc.subjectStatistical Mechanics
dc.titleExact renormalization group flow equations for free energies and N-point functions in uniform external fields
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