Comparison of renormalization group schemes for sine-Gordon-type models

Journal Article · Wed Jul 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.025008· OSTI ID:21316276

Nandori, I ^[1]; Nagy, S; Sailer, K ^[2]; Trombettoni, A ^[3]

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1. Institute of Nuclear Research of the Hungarian Academy of Sciences, H-4001 Debrecen, P.O.Box 51 (Hungary)
2. Department of Theoretical Physics, University of Debrecen, Debrecen (Hungary)
3. SISSA and INFN, Sezione di Trieste, via Beirut 2/4, I-34151, Trieste (Italy)

The scheme dependence of the renormalization group (RG) flow has been investigated in the local potential approximation for two-dimensional periodic, sine-Gordon type field-theoretic models discussing the applicability of various functional RG methods in detail. It was shown that scheme-independent determination of such physical parameters is possible as the critical frequency (temperature) at which Kosterlitz-Thouless-Berezinskii type phase transition takes place in the sine-Gordon and the layered sine-Gordon models, and the critical ratio characterizing the Ising-type phase transition of the massive sine-Gordon model. For the latter case, the Maxwell construction represents a strong constraint on the RG flow, which results in a scheme-independent infrared value for the critical ratio. For the massive sine-Gordon model also the shrinking of the domain of the phase with spontaneously broken periodicity is shown to take place due to the quantum fluctuations.

• OSTI ID: 21316276
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
COMPARATIVE EVALUATIONS
CRITICAL FREQUENCY
FIELD THEORIES
FLUCTUATIONS
PERIODICITY
PHASE TRANSFORMATIONS
POTENTIALS
RENORMALIZATION
SINE-GORDON EQUATION
TWO-DIMENSIONAL CALCULATIONS