Dynamical violation of parity and chiral symmetry in three-dimensional four-Fermi theory

The possibility that the epsilon expansion can predict the order of phase transitions in three dimensional field theories is examined. For a Hermitean matrix-valued order parameter, the epsilon expansion predicts fluctuation induced first order phase transitions. We analyze two 2+1-dimensional quantum field theories which exhibit spontaneous symmetry breaking and have martix order parameters. Using the large N expansion, we show that these models exhibit second order transitions and discuss the implications for the chiral symmetry breaking transition in 2+1-dimensional QCD for a critical number of quark flavors.

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“…Such fixed points are known to occur in 3-dimensional models with fermions and four-fermion interactions [2,19]. For example, consider [20]…”

Section: Review Of Investigations Of Symmetry Breakingmentioning

confidence: 99%

Phase transitions and mass generation in 2+1 dimensions

1994

Self Cite

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“…N is a certain normalization factor. Thus the deficiency index of each of operators h + and h − is equal to (1,1). Then, according to the Weyl -von Neumann theory of self-adjoint operators (see Refs.…”

Section: Appendix Amentioning

confidence: 99%

Induced vacuum condensates in the background of a singular magnetic vortex in(2+1)-dimensional space-time

Sitenko

1999

Phys. Rev. D

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We show that the vacuum of the quantized massless spinor field in 2+1-dimensional space-time is polarized in the presence of a singular magnetic vortex. Depending on the choice of the boundary condition at the location of the vortex, either chiral symmetry or parity is broken; the formation of the appropriate vacuum condensates is comprehensively studied. In addition, we find that current, energy and other quantum numbers are induced in the vacuum.

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“…Indeed, such a transition leads to a gap in the energy spectrum, that is of interest for electronic devices [25,27]. It has been pointed out that at the critical region, we have a regular second-order phase transition, where the weak long-range Coulomb interaction is of minor importance [28,29,30,31,32].…”

Section: Introductionmentioning

confidence: 98%