Renormalization flow for unrooted forests on a triangular lattice

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dc.creatorCaracciolo, Sergio
dc.creatorDe Grandi, Claudia
dc.creatorSportiello, Andrea
dc.date2007-05-26
dc.date2007-06-14
dc.date.accessioned2026-07-07T10:55:52Z
dc.date.available2026-07-07T10:55:52Z
dc.descriptionWe compute in small temperature expansion the two-loop renormalization constants and the three-loop coefficient of the beta-function, that is the first non-universal term, for the sigma-model with O(N) invariance on the triangular lattice at N=-1. The partition function of the corresponding Grassmann theory is, for negative temperature, the generating function of unrooted forests on such a lattice, where the temperature acts as a chemical potential for the number of trees in the forest. To evaluate Feynman diagrams we extend the coordinate space method to the triangular lattice.
dc.description26 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0705.3891
dc.identifierhttp://arxiv.org/abs/0705.3891
dc.identifierNucl.Phys.B787:260-282,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.06.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186221
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.titleRenormalization flow for unrooted forests on a triangular lattice
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