Multicritical behavior of the two-field Ginzburg–Landau model coupled to a gauge field

L.M. Abreu, C. de Calan and A.P.C. Malbouisson

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 4, 817-824

Abstract: In this paper, we study the multicritical behavior of the Ginzburg–Landau model in a O(n1)⊕O(n2)-symmetric version containing (n1/2+n2/2)-complex order parameters coupled to a gauge field. We develop the RG analysis at a one-loop approximation in the context of the ϵ-expansion approach. The beta functions are obtained, and in the case of equal couplings between the two scalar fields and the gauge field and n1=n2=n/2, the infrared stability of the fixed points is discussed. It is found that the charged infrared-stable fixed point exists for n>393.2. Calculations of the relevant critical exponents are also carried out.

Keywords: Multicritical behavior; Tetracritical point; Renormalization group; ϵ-expansion; Ginzburg–Landau model (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:4:p:817-824

DOI: 10.1016/j.physa.2007.09.033

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