Quantum sine-Gordon equation as the massive Thirring model
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 βϕ, 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.
- Publication:
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Physical Review D
- Pub Date:
- April 1975
- DOI:
- Bibcode:
- 1975PhRvD..11.2088C
- Keywords:
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- Astronomical Models;
- Field Theory (Physics);
- Space Density;
- Space-Time Functions;
- Energy Distribution;
- Hamiltonian Functions;
- Perturbation Theory;
- Theoretical Physics;
- Variational Principles;
- Physics (General)