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Titolo:
Phase transition couplings in U(1) and SU(N) regularized gauge theories
Autore:
Laperashvili, LV; Ryzhikh, DA; Nielsen, HB;
Indirizzi:
Inst Theoret & Expt Phys, Moscow 117218, Russia Inst Theoret & Expt Phys Moscow Russia 117218 hys, Moscow 117218, Russia Niels Bohr Inst, DK-2100 Copenhagen O, Denmark Niels Bohr Inst Copenhagen Denmark O Inst, DK-2100 Copenhagen O, Denmark
Titolo Testata:
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
fascicolo: 24, volume: 16, anno: 2001,
pagine: 3989 - 4009
SICI:
0217-751X(20010930)16:24<3989:PTCIUA>2.0.ZU;2-X
Fonte:
ISI
Lingua:
ENG
Soggetto:
ANTI-GRAND-UNIFICATION; RENORMALIZATION-GROUP EQUATIONS; MULTIPLE POINT CRITICALITY; QUANTUM-FIELD THEORY; STANDARD MODEL; FERMION MASSES; QUARK CONFINEMENT; MONTE-CARLO; CONSTANT; QCD;
Keywords:
gauge theory; lattice; renormalization; phase transition; monopoles; loops;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
66
Recensione:
Indirizzi per estratti:
Indirizzo: Laperashvili, LV Inst Theoret & Expt Phys, B Cheremushkinskaya 25, Moscow 117218, Russia Inst Theoret & Expt Phys B Cheremushkinskaya 25 Moscow Russia 117218
Citazione:
L.V. Laperashvili et al., "Phase transition couplings in U(1) and SU(N) regularized gauge theories", INT J MOD P, 16(24), 2001, pp. 3989-4009

Abstract

Using a two-loop approximation for beta functions, we have considered the corresponding renormalization group improved effective potential in the dual Abelian Higgs model (DAHM) of scalar monopoles and calculated the phase transition (critical) couplings in U(1) and SU(N) regularized gauge theories. In contrast to our previous result alpha (crit) approximate to 0.17, obtained in the one-loop approximation with the DAHM effective potential (see Ref. 20), the critical value of the electric fine structure constant in the two-loop approximation, calculated in the present paper, is equal to alpha (crit) approximate to 0.208 and coincides with the lattice result for compact QED(10): alpha (lat)(crit) approximate to 0.20 +/- 0.015. Following the 't Hooft's idea of the "Abelization" of monopole vacuum in the Yang-Mills theories, we have obtained an estimation of the SU(N) triple point coupling constants, which is alpha (-1)(N,Crit) = N/2 rootN+1/N-1 alpha (-1)(U(1),crit). This relation was used for the description of the Planck scale values of the inverse running constants alpha (-1)(i)(mu) (i = 1, 2, 3 correspond to U(1), SU(2) and SU(3) groups), according to the ideas of the multiple point model.(16)

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Documento generato il 09/04/20 alle ore 19:02:09