Dynamical breakdown of symmetries in three-dimensional QED

Rao, Sumathi; Yahalom, Ram

doi:10.1103/physrevd.34.1194

Cited by 24 publications

(11 citation statements)

References 14 publications

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“…This implies that the SD equation has only a trivial solution B o (p) ≡ 0. Therefore the dynamical breakdown of parity does not occur, which is in agreement with the previous analyses [21,22,23,24].…”

Section: Parity Breakingsupporting

confidence: 92%

Dynamical breakdown of chirality and parity in (2+1)-dimensional QED

et al. 1995

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In the (2+1)-dimensional QED with and without the Chern-Simons term, we find the non-local gauge in which there is no wavefunction renormalization for the fermion in the framework of the Schwinger-Dyson equation. By solving the Schwinger-Dyson equation in the non-local gauge, we find a finite critical value N c f for the number of flavors N f of four-component Dirac fermions, above which the chiral symmetry restores irrespective of presence or absence of the Chern-Simons term. In the same framework, we study the possibility of dynamical breakdown of the parity. It is shown that the parity is not dynamically broken. We discuss this reason from the viewpoint of the Schwinger-Dyson equation. *

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Section: Parity Breakingsupporting

confidence: 92%

Dynamical breakdown of chirality and parity in (2+1)-dimensional QED

et al. 1995

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“…By contrast, we find (cf . Table II below the above-mentioned lattice predictions 4 . The lattice simulations rely on a microscopic definition of the Thirring model which is fixed by a bare action including only the Thirring-like current-current interaction.…”

Section: Comparison With Previous Studiesmentioning

confidence: 99%

Critical behavior of the (2+1)-dimensional Thirring model

2012

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We investigate chiral symmetry breaking in the (2+1)-dimensional Thirring model as a function of the coupling as well as the Dirac flavor number N f with the aid of the functional renormalization group. For small enough flavor number N f < N cr f , the model exhibits a chiral quantum phase transition for sufficiently large coupling. We compute the critical exponents of this second order transition as well as the fermionic and bosonic mass spectrum inside the broken phase within a next-to-leading order derivative expansion. We also determine the quantum critical behavior of the many-flavor transition which arises due to a competition between vector and chiral-scalar channel and which is of second order as well. Due to the problem of competing channels, our results rely crucially on the RG technique of dynamical bosonization. For the critical flavor number, we find N cr f 5.1 with an estimated systematic error of approximately one flavor.

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“…It is interesting to ask oneself how these general features of pure QED 3 are modified by the introduction of a CS term [15][16][17][18][19][20]. Indeed, this question has been addressed in great detail in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…FIG.6: Comparison of the vector parts of the fermion propagator in the chiral basis for various values of θ at fixed N = 3 with the fit in Eq (15)…”

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confidence: 99%

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Confinement in Maxwell-Chern-Simons planar quantum electrodynamics and the1/Napproximation

2010

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We study the analytical structure of the fermion propagator in planar quantum electrodynamics coupled to a Chern-Simons term within a four-component spinor formalism. The dynamical generation of parity-preserving and parity-violating fermion mass terms is considered, through the solution of the corresponding Schwinger-Dyson equation for the fermion propagator at leading order of the 1/N approximation in Landau gauge. The theory undergoes a first order phase transition toward chiral symmetry restoration when the Chern-Simons coefficient θ reaches a critical value which depends upon the number of fermion families considered. Parity-violating masses, however, are generated for arbitrarily large values of the said coefficient. On the confinement scenario, complete charge screening -characteristic of the 1/N approximation-is observed in the entire (N, θ)-plane through the local and global properties of the vector part of the fermion propagator.

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Dynamical breakdown of symmetries in three-dimensional QED

Cited by 24 publications

References 14 publications

Dynamical breakdown of chirality and parity in (2+1)-dimensional QED

Dynamical breakdown of chirality and parity in (2+1)-dimensional QED

Critical behavior of the (2+1)-dimensional Thirring model

Confinement in Maxwell-Chern-Simons planar quantum electrodynamics and the1/Napproximation

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