Reduced quantum electrodynamics in curved space

Caneda, P. I. C.; Menezes, G.

doi:10.1103/physrevd.103.065010

Cited by 6 publications

(10 citation statements)

References 89 publications

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“…This confirms that the CS coefficient behaves as an effective dielectric constant, as was proposed in Ref. [39].…”

Section: Chiral Symmetry Breaking With a Chern-simons Termsupporting

confidence: 89%

“…where in the case of graphene x dγ −de corresponds to the third spatial dimension. In fact, assuming that all extra dimensions are flat, the action of this theory is very similar to the corresponding action of QED is curved space [39], namely,…”

Section: Chiral Symmetry Breaking In Curved Spacementioning

confidence: 99%

“…The latter can be introduced in a framework in which these mechanical deformations can be incorporated in terms of curved geometry of the underlying space-time in the equations of motion. In this regard, the dynamics of gauge bosons and electrons in mixed space-time dimensions has been considered in a curved-space background for the latter (and flat extra dimensions for the former) [39]. The starting point is the action…”

Section: Chiral Symmetry Breaking In Curved Spacementioning

confidence: 99%

“…The one-loop renormalization of the fermion propagator has been discused in Ref. [39]. All divergent terms are the same as in curved-space ordinary QED.…”

Section: Chiral Symmetry Breaking In Curved Spacementioning

confidence: 99%

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Non-perturbative field theoretical aspects of graphene and related systems

Olivares

Mizher²,

Raya

2022

Rev. Mex. Fís.

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In this article, we review the dynamics of charge carriers in graphene and related 2D systems from a quantum field theoretical point of view. By allowing the electromagnetic fields to propagate throughout space and constraining fermions to move on a 2D manifold, the effective theory of such systems becomes a non-local version of quantum electrodynamics (QED) dubbed in literature pseudo or reduced QED. We review some aspects of the theory assuming the coupling arbitrary in strength. In particular, we focus on the chiral symmetry breaking scenarios and the analytical structure of the fermion propagator in vacuum and under the influence of external agents like a heat bath, in the presence of a Chern-Simons term, anisotropy and in curved space. We briefly discuss the major advances and some new results on this field.

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“…This confirms that the CS coefficient behaves as an effective dielectric constant, as was proposed in Ref. [39].…”

Section: Chiral Symmetry Breaking With a Chern-simons Termsupporting

confidence: 89%

Section: Chiral Symmetry Breaking In Curved Spacementioning

confidence: 99%

Section: Chiral Symmetry Breaking In Curved Spacementioning

confidence: 99%

“…The one-loop renormalization of the fermion propagator has been discused in Ref. [39]. All divergent terms are the same as in curved-space ordinary QED.…”

Section: Chiral Symmetry Breaking In Curved Spacementioning

confidence: 99%

See 2 more Smart Citations

Non-perturbative field theoretical aspects of graphene and related systems

Olivares

Mizher²,

Raya

2022

Rev. Mex. Fís.

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show abstract

“…Effects of strain have also been considered, leading to a lower value of the critical coupling required to break chiral symmetry. Finally, RQED has also been formulated in curved spaces [44]. For a review discussing all this properties and applications of RQED, see [45].…”

Section: Introductionmentioning

confidence: 99%