Spontaneous breaking of generalized parity in 2+1-dimensional four-fermi interactions

Y. M. Ahn, Q Han Park

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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 languageEnglish
Pages (from-to)655-658
Number of pages4
JournalJournal of the Korean Physical Society
Volume33
Issue number6
Publication statusPublished - 1998 Dec 1
Externally publishedYes

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parity
fermions
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  • Physics and Astronomy(all)

Cite this

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 journalArticle

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