Abstract
We study the vacuum structure of the 2+1-dimensional generalized Gross-Neveu model characterized by a couple of coupling constants g1 and g2. Using the Fierz rearrangements for various types of four-fermion terms and also introducing auxiliary fields, we show that the generalized parity, which combines the parity with the Z 2 action on an even number of fermions, becomes broken when g1 and g2 satisfy certain criteria. We also comment on the Thirring model which arises in our model as a special case with g1 = g2. A detailed analysis for parity-breaking solutions of the Thirring model is given for the N = 2 case.
| Original language | English |
|---|---|
| Pages (from-to) | 655-658 |
| Number of pages | 4 |
| Journal | Journal of the Korean Physical Society |
| Volume | 33 |
| Issue number | 6 |
| Publication status | Published - 1998 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Ahn, Y. M., & Park, Q. H. (1998). Spontaneous breaking of generalized parity in 2+1-dimensional four-fermi interactions. Journal of the Korean Physical Society, 33(6), 655-658.