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Boson Fields on the Circle as Generalized Wightman Fields

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Abstract.

We define an operator-valued distribution on the circle with the expected properties (correlation functions, Hermiticity, etc.) of the logarithmic boson field in the cylinder compact picture. This is done starting from the known Krein space realization of the right and left movers on the light cone and considering its relation with the U(1)-current algebra. The relevance of this construction for two-dimensional conformal quantum field theory is discussed.

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Authors and Affiliations

  1. Dipartimento di Matematica del Politecnico, Piazza Leonardo da Vinci 32, 20133, Milan, Italy

    Dario Pierotti

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  1. Dario Pierotti
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Mathematics Subject Classifications (1991):81T10, 81T40.

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Pierotti, D. Boson Fields on the Circle as Generalized Wightman Fields. Lett Math Phys 39, 9–20 (1997). https://doi.org/10.1007/s11005-997-9020-5

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  • DOI: https://doi.org/10.1007/s11005-997-9020-5

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