Chiral symmetry,the 1/N expansion and the SU(N) thirring model |
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Authors: | Edward Witten |
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Institution: | Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, USA |
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Abstract: | In the two-dimensional SU(N) Thirring model, the 1/N expansion seems to predict spontaneous breaking of the continuous chiral symmetry. This is impossible in two-dimensions. Reasoning along the lines of Berezinski, Kosterlitz and Thouless for the two-dimensional XY model, we argue that, in fact, rather than showing long-range order, vanishes in this model as |x|?1/N at large |x|. The 1/N expansion is, in fact, a rather good guide to the properties of this model. |
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