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 , where is a real parameter. I show that if exceeds , the energy density of the theory is unbounded below; if equals , the theory is equivalent to the zero-charge sector of the theory of a free massive Fermi field; for other values of , 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