Chiral symmetry breaking in the pseudo-quantum electrodynamics

Alves, Van Sérgio; Elias, Walace S.; Nascimento, Leandro O.; Juričić, Vladimir; Peña, Francisco

doi:10.1103/physrevd.87.125002

Cited by 39 publications

(75 citation statements)

References 72 publications

(102 reference statements)

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“…This non-local gauge theory is similar to the one studied in Ref. [43], where the authors also showed the breaking of chiral symmetry. By adding the contribution of the long-range interaction to Σ(p) and following a standard procedure, we obtain a differential equation similar to Eq.…”

Section: B Long-range Interactionsupporting

confidence: 81%

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Excitonic gap generation in thin-film topological insulators

Menezes

Smith²,

Palumbo³

2017

J. Phys.: Condens. Matter

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In this work, we analyze the excitonic gap generation in the strong-coupling regime of thin films of three-dimensional time-reversal-invariant topological insulators. We start by writing down the effective gauge theory in 2+1-dimensions from the projection of the 3+1-dimensional quantum electrodynamics. Within this method, we obtain a short-range interaction, which has the form of a Thirring-like term, and a long-range one. The interaction between the two surface states of the material induces an excitonic gap. By using the large-N approximation in the strong-coupling limit, we find that there is a dynamical mass generation for the excitonic states that preserves time-reversal symmetry and is related to the dynamical chiral-symmetry breaking of our model. This symmetry breaking occurs only for values of the fermion-flavor number smaller than Nc ≈ 11.8. Our results show that the inclusion of the full dynamical interaction strongly modifies the critical number of flavors for the occurrence of exciton condensation, and therefore, cannot be neglected.

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Section: B Long-range Interactionsupporting

confidence: 81%

“…These kind of interactions have been already studied separately in the context of dynamical mass generation in Refs. [40][41][42][43]. This mechanism is relevant in interacting quantum-field theories and is related to the dynamical breaking of a classical symmetry due to quantum effects.…”

Section: Dynamical Gap Generationmentioning

confidence: 99%

Excitonic gap generation in thin-film topological insulators

Menezes

Smith²,

Palumbo³

2017

J. Phys.: Condens. Matter

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“…In spite of the fact that we are using 2-component Dirac spinors, however, we do not break TRS ab initio because we are summing over the two species (as we may infer from the physical value of N f ). An SU(4) version of this model has been recently used to study dynamical gap generation and chiral symmetry breaking in graphene [29].…”

Section: Modelmentioning

confidence: 99%

“…(1) dynamically generates a gap in the SU(4) case due to a breaking of the chiral symmetry [29]. Here, we investigate the SU(2) case and show that an infinite sequence of discrete energy eigenstates is dynamically generated.…”

mentioning

confidence: 99%

Interaction Induced Quantum Valley Hall Effect in Graphene

et al. 2015

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We use pseudo-quantum electrodynamics in order to describe the full electromagnetic interaction of the p electrons in graphene in a consistent 2D formulation. We first consider the effect of this interaction in the vacuum polarization tensor or, equivalently, in the current correlator. This allows us to obtain the T → 0 conductivity after a smooth zero-frequency limit is taken in Kubo's formula. Thereby, we obtain the usual expression for the minimal conductivity plus corrections due to the interaction that bring it closer to the experimental value. We then predict the onset of an interaction-driven spontaneous quantum valley Hall effect below an activation temperature of the order of 2 K. The transverse (Hall) valley conductivity is evaluated exactly and shown to coincide with the one in the usual quantum Hall effect. Finally, by considering the effects of pseudo-quantum electrodynamics, we show that the electron self-energy is such that a set of P-and T-symmetric gapped electron energy eigenstates are dynamically generated, in association with the quantum valley Hall effect.

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“…In the dynamical description, it is expected to generate a set of quantized-energy levels in graphene as well as an interaction driven quantum valley Hall effect [17] at low enough temperatures. Furthermore, chiral-symmetry breaking has been shown to take place for both zero and finite temperatures [18,19]. It also occurs in the presence of a Gross-Neveu interaction, whose main effect is to decrease the critical coupling constant, yielding a better scenario for dynamical mass generation [20].…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional Yukawa interactions from nonlocal Proca quantum electrodynamics

et al. 2018

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We derive two versions of an effective model to describe dynamical effects of the Yukawa interaction among Dirac electrons in the plane. Such short-range interaction is obtained by introducing a mass term for the intermediate particle, which may be either scalar or an abelian gauge field, both of them in (3 þ 1) dimensions. Thereafter, we consider that the fermionic matter field propagates only in (2 þ 1) dimensions, whereas the bosonic field is free to propagate out of the plane. Within these assumptions, we apply a mechanism for dimensional reduction, which yields an effective model in (2 þ 1) dimensions. In particular, for the gauge-field case, we use the Stueckelberg mechanism in order to preserve gauge invariance. We refer to this version as nonlocal-Proca quantum electrodynamics (NPQED). For both scalar and gauge cases, the effective models reproduce the usual Yukawa interaction in the static limit. By means of perturbation theory at one loop, we calculate the mass renormalization of the Dirac field. Our model is a generalization of Pseudo quantum electrodynamics (PQED), which is a gauge-field model that provides a Coulomb interaction for two-dimensional electrons. Possibilities of application to Fermi-Bose mixtures in mixed dimensions, using cold atoms, are briefly discussed.

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Chiral symmetry breaking in the pseudo-quantum electrodynamics

Cited by 39 publications

References 72 publications

Excitonic gap generation in thin-film topological insulators

Excitonic gap generation in thin-film topological insulators

Interaction Induced Quantum Valley Hall Effect in Graphene

Two-dimensional Yukawa interactions from nonlocal Proca quantum electrodynamics

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