Renormalization Group Approach to Matrix Models and Vector Models

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dc.creatorHiguchi, Saburo
dc.creatorItoi, Chigak
dc.creatorSakai, Norisuke
dc.date1993-07-26
dc.date1993-10-20
dc.date.accessioned2026-07-07T10:58:32Z
dc.date.available2026-07-07T10:58:32Z
dc.descriptionThe renormalization group approach is studied for large $N$ models. The approach of Brézin and Zinn-Justin is explained and examined for matrix models. The validity of the approach is clarified by using the vector model as a similar and simpler example. An exact difference equation is obtained which relates free energies for neighboring values of $N$. The reparametrization freedom in field space provides infinitely many identities which reduce the infinite dimensional coupling constant space to that of finite dimensions. The effective beta functions give exact values for the fixed points and the susceptibility exponents. A detailed study of the effective renormalization group flow is presented for cases with up to two coupling constants. We draw the two-dimensional flow diagram.
dc.descriptionTalk at the workshop "Quantum Gravity", Yukawa Institute, Kyoto, Nov. 1992, LaTeX, 22 pages + 3 Postscript figures (included in uuencoded form), TIT/HEP-219,NUP-A-93-8 (a few minor corrections in formulae)
dc.identifierhttps://arxiv.org/abs/hep-th/9307154
dc.identifierhttp://arxiv.org/abs/hep-th/9307154
dc.identifierProg.Theor.Phys.Suppl.114:53-71,1993
dc.identifierdoi:10.1143/PTPS.114.53
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187136
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalization Group Approach to Matrix Models and Vector Models
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