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Two-dimensional quantum field theories containing a massless scalar field

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Abstract

The following new findings are briefly reported:

  1. (a)

    A consistent quantum theory can be formulated for a free massless scalar field in two-dimensional spacetime.

  2. (b)

    Satisfactory operator solutions in terms of asymptotic fields can be constructed in the Thirring and Schwinger models.

  3. (c)

    Gauge invariance is spontaneously broken in the Thirring model as well as in the Schwinger model.

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Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

    Noboru Nakanishi

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  1. Noboru Nakanishi
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Nakanishi, N. Two-dimensional quantum field theories containing a massless scalar field. Lett Math Phys 1, 361–366 (1977). https://doi.org/10.1007/BF01793947

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  • DOI: https://doi.org/10.1007/BF01793947

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