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 Dec 1 |
| Externally published | Yes |
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ASJC Scopus subject areas
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Spontaneous breaking of generalized parity in 2+1-dimensional four-fermi interactions. / Ahn, Y. M.; Park, Q Han.
In: Journal of the Korean Physical Society, Vol. 33, No. 6, 01.12.1998, p. 655-658.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Spontaneous breaking of generalized parity in 2+1-dimensional four-fermi interactions
AU - Ahn, Y. M.
AU - Park, Q Han
PY - 1998/12/1
Y1 - 1998/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0032261369&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0032261369&partnerID=8YFLogxK
M3 - Article
VL - 33
SP - 655
EP - 658
JO - Journal of the Korean Physical Society
JF - Journal of the Korean Physical Society
SN - 0374-4884
IS - 6
ER -