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

Author

Listed:
  • Abreu, L.M.
  • de Calan, C.
  • Malbouisson, A.P.C.

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.

Suggested Citation

  • Abreu, L.M. & de Calan, C. & Malbouisson, A.P.C., 2008. "Multicritical behavior of the two-field Ginzburg–Landau model coupled to a gauge field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 817-824.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:4:p:817-824
    DOI: 10.1016/j.physa.2007.09.033
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