A formally exact field theory for classical systems at equilibrium

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dc.creatordi Caprio, D.
dc.creatorBadiali, J. P.
dc.date2007-07-20
dc.date2008-02-12
dc.date.accessioned2026-07-07T11:17:57Z
dc.date.available2026-07-07T11:17:57Z
dc.descriptionWe propose a formally exact statistical field theory for describing classical fluids with ingredients similar to those introduced in quantum field theory. We consider the following essential and related problems : i) how to find the correct field functional (Hamiltonian) which determines the partition function, ii) how to introduce in a field theory the equivalent of the indiscernibility of particles, iii) how to test the validity of this approach. We can use a simple Hamiltonian in which a local functional transposes, in terms of fields, the equivalent of the indiscernibility of particles. The diagrammatic expansion and the renormalization of this term is presented. This corresponds to a non standard problem in Feynman expansion and requires a careful investigation. Then a non-local term associated with an interaction pair potential is introduced in the Hamiltonian. It has been shown that there exists a mapping between this approach and the standard statistical mechanics given in terms of Mayer function expansion. We show on three properties (the chemical potential, the so-called contact theorem and the interfacial properties) that in the field theory the correlations are shifted on non usual quantities. Some perspectives of the theory are given.
dc.description20 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0707.3069
dc.identifierhttp://arxiv.org/abs/0707.3069
dc.identifierJ.Phys.A41:125401,2008
dc.identifierdoi:10.1088/1751-8113/41/12/125401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193186
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleA formally exact field theory for classical systems at equilibrium
dc.typetext

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