Spontaneous symmetry breaking and proper-time flow equations

Bonanno, Alfio and Lacagnina, Giuseppe (2004) Spontaneous symmetry breaking and proper-time flow equations. NUCLEAR PHYSICS B, 693 (1-3). pp. 36-50. ISSN 0550-3213, 1873-1562

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Abstract

We discuss the phenomenon of spontaneous symmetry breaking by means of a class of non-perturbative renormalization group flow equations which employ a regulating smearing function in the proper-time integration. We show, both analytically and numerically, that the convexity property of the renormalized local potential is obtained by means of the integration of arbitrarily low momenta in the flow equation. Hybrid Monte Carlo simulations are performed to compare the lattice effective potential with the numerical solution of the renormalization group flow equation. We find very good agreement both in the strong and in the weak coupling regime. (C) 2004 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: RENORMALIZATION-GROUP; CUTOFF REGULARIZATION; EFFECTIVE POTENTIALS; CRITICAL EXPONENTS; MONTE-CARLO; HEAT-KERNEL; STATE;
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 02 Jul 2021 09:00
Last Modified: 02 Jul 2021 09:00
URI: https://pred.uni-regensburg.de/id/eprint/37331

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