Abstract.
We study the sine-Gordon model in two dimensional space time in two different domains. For β > 8π and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the model is asymptotically free in the infrared. For β < 8π and weak coupling, we introduce an infrared cutoff and study the ultraviolet behavior. A renormalization group analysis shows that the model is asymptotically free in the ultraviolet.
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Submitted 08/09/99, accepted 01/12/99
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Dimock, J., Hurd, T. Sine-Gordon Revisited. Ann. Henri Poincaré 1, 499–541 (2000). https://doi.org/10.1007/s000230050005
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DOI: https://doi.org/10.1007/s000230050005