Flow equation solution for the weak to strong-coupling crossover in the sine-Gordon model

Details Flow equation solution for the weak to strong-coupling crossover in the sine-Gordon model Flow equation solution for the weak to strong-coupling crossover in the sine-Gordon model

1999-08-03

arxiv.org/abs/cond-mat/9908048v2

Phys.Rev.Lett. 83 (1999) 4914-4917

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, minor changes (typo in Eq. (3) corrected, references added), published version

Scientific paper

10.1103/PhysRevLett.83.4914

A continuous sequence of infinitesimal unitary transformations, combined with an operator product expansion for vertex operators, is used to diagonalize the quantum sine-Gordon model for 2 pi < beta^2 < infinity. The leading order of this approximation already gives very accurate results for the single-particle gap in the strong-coupling phase. This approach can be understood as an extension of perturbative scaling theory since it links weak to strong-coupling behavior in a systematic expansion. The approach should also be useful for other strong-coupling problems that can be formulated in terms of vertex operators.

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