Renormalization of the Sine-Gordon model and nonconservation of the kink current

Journal Article · Wed Jan 30 04:00:00 EST 1991 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X91000253· OSTI ID:5674568

Huang, K; Polonyi, J ^[1]

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1. Center for Theoretical Physics, Lab. for Nuclear Science and Dept. of Physics, Massachusetts Inst. of Technology, Cambridge, MA (US)

The authors of this paper renormalize the (1 + 1)-dimensional sine-Gordon model by placing it on a Euclidean lattice, and study the renormalization group flow. The authors start with a compactified theory with controllable vortex activity. In the continuum limit the theory has a phase in which the kink current is anomalous, with divergence given by the vortex density. The phase structure is quite complicated. Roughly speaking, the system is normal for small coupling T. At the Kosterlitz-Thouless point T = {pi}/2, the current can become anomalous. At the Coleman point T = 8{pi} either the current becomes anomalous or the theory becomes trivial.

• OSTI ID: 5674568
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 6:3; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EQUATIONS
EUCLIDEAN SPACE
FIELD EQUATIONS
FIELD THEORIES
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
RENORMALIZATION
RIEMANN SPACE
SINE-GORDON EQUATION
SPACE