Quantum sine-Gordon equation as the massive Thirring model

Sidney Coleman
Phys. Rev. D 11, 2088 – Published 15 April 1975
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Abstract

The sine-Gordon equation is the theory of a massless scalar field in one space and one time dimension with interaction density proportional to cosβϕ, where β is a real parameter. I show that if β2 exceeds 8π, the energy density of the theory is unbounded below; if β2 equals 4π, the theory is equivalent to the zero-charge sector of the theory of a free massive Fermi field; for other values of β, the theory is equivalent to the zero-charge sector of the massive Thirring model. The sine-Gordon soliton is identified with the fundamental fermion of the Thirring model.

  • Received 6 January 1975

DOI:https://doi.org/10.1103/PhysRevD.11.2088

©1975 American Physical Society

Authors & Affiliations

Sidney Coleman

  • Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138

Comments & Replies

Semiclassical quantization of the massive Thirring model

Gil C. Marques and Ivan Ventura
Phys. Rev. D 13, 1807 (1976)

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Issue

Vol. 11, Iss. 8 — 15 April 1975

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