Spontaneous Breaking of Parity in 2+1-Dimensional Thirring Model

Details Spontaneous Breaking of Parity in 2+1-Dimensional Thirring Model Spontaneous Breaking of Parity in 2+1-Dimensional Thirring Model

1994-04-29

arxiv.org/abs/hep-th/9404181v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, KHTP-94-05 /SNUCTP 94-31

Scientific paper

A new aspect of the vacuum structure of 2+1-dimensional Thirring model is presented. Using the Fierz identity, we split the current-current four-Fermi interaction in terms of a matrix valued auxiliary scalar field and compute its effective potential. Energy consideration shows that contrary to earlier expectations, parity in general is spontaneously broken at any finite order of N, where N is the number of the two component spinors. In the large N limit, there does not exist a stable vacuum of the theory thereby making the application of the large N limit to Thirring model dangerous. A detailed analysis for parity breaking solutions in N=2,3 cases is given.

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