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Bosonization of Massive Fermions

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Abstract:

We study the Euclidean sine-Gordon field theory on the plane with β > 16π/3 and an interaction density confined to a finite square. For β= 4 π we construct correlation functions for the field : sin φ \colon; and show that they are equal to the pseudoscalar ―ψΓψ correlation functions for a free fermion theory with mass term confined to the finite square.

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Authors and Affiliations

  1. Dept. of Mathematics, SUNY at Buffalo, Buffalo, NY 14214, USA. E-mail: dimock@ubunix.acsu.buffalo.edu, , , , , , US

    J. Dimock

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  1. J. Dimock
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Received: 19 May 1997 / Accepted: 30 March 1998

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Dimock, J. Bosonization of Massive Fermions. Comm Math Phys 198, 247–281 (1998). https://doi.org/10.1007/s002200050478

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  • DOI: https://doi.org/10.1007/s002200050478

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