Flow Equation Solution for the Weak- to Strong-Coupling Crossover in the Sine-Gordon Model
نویسنده
چکیده
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 b2 [ 2p,` . The leading order of this approximation already gives very accurate results for the singleparticle gap in the strong-coupling phase. This approach can be understood as an extension of perturbative scaling theory since it links weakto strong-coupling behavior in a systematic expansion. The method should also be useful for other strong-coupling problems that can be formulated in terms of vertex operators.
منابع مشابه
Flow equation approach to the sine-Gordon model
A continuous sequence of infinitesimal unitary transformations is used to diagonalize the quantum sine-Gordon model for β2 ∈ (2π,∞). This approach can be understood as an extension of perturbative scaling theory since it links weakto strong-coupling behavior in a systematic expansion: a small expansion parameter is identified and this parameter remains small throughout the entire flow unlike th...
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