Quantization of the localized solutions in two-dimensional field theories of massive fermions
Using the semiclassical functional method developed by Dashen, Hasslacher, and Neveu, the classical localized solutions for the bound states of massive fermions in two-dimensional field theories are quantized. The mass spectra of the bound states are then obtained. For the massive Gross-Neveu model, the mass spectrum agrees with what has been found by Dashen et al. for the massless Gross-Neveu model where fermions acquire mass through dynamical symmetry breaking. For a theory of massive fermions with scalar as well as pseudoscalar Fermi interactions, the mass spectrum is found to be very similar to that for the doublet in the sine-Gordon equation. In fact, under certain conditions they become identical. (AIP)
- Research Organization:
- Department of Physics, Purdue University, Lafayette, Indiana 47907
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-025061
- OSTI ID:
- 4037413
- Journal Information:
- Phys. Rev., D, v. 12, no. 12, pp. 3880-3886, Journal Name: Phys. Rev., D, v. 12, no. 12, pp. 3880-3886; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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