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Normal products in the Thirring model

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Abstract

The short-distance behavior of products of fields is studied in the Thirring model of a self-interacting, massless, spinor field in two dimensions. One is able to construct normal products which share most of the convenient properties of the free-field Wick products. A modified form of Wilson's expansion formula is verified. The original formulation of Wilson's hypothesis is seen to hold to every finite order in the coupling constant, but fails in the exact solution of the model for sufficiently strong coupling.

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References

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Authors and Affiliations

  1. Departamento de Física, Universidade de São Paulo, São Paulo, Brasil

    John H. Lowenstein

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  1. John H. Lowenstein
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Research supported by the Banco Nacional do Desenvolvimento Econômico and the Conselho Nacional de Pesquisas.

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Lowenstein, J.H. Normal products in the Thirring model. Commun.Math. Phys. 16, 265–289 (1970). https://doi.org/10.1007/BF01646535

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  • DOI: https://doi.org/10.1007/BF01646535

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