Exact quantum scale invariance of three-dimensional reduced QED theories

Dudal, David; Mizher, Ana Júlia; Pais, P.

doi:10.1103/physrevd.99.045017

Cited by 30 publications

(33 citation statements)

References 60 publications

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“…In such approach, the gauge field propagates in a threedimensional space and one direction is integrated out to obtain an effective interaction with the electrons constrained to move in a two-dimensional plane [38,39]. This approach could shed some light on the appearance of a photon Chern-Simons term [40,41].…”

Section: Bridge Between the Microscopic/ Classical Picture And Itmentioning

confidence: 99%

Torsion in quantum field theory through time-loops on Dirac materials

et al. 2020

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Assuming dislocations could be meaningfully described by torsion, we propose here a scenario based on the role of time in the low-energy regime of two-dimensional Dirac materials, for which coupling of the fully antisymmetric component of the torsion with the emergent spinor is not necessarily zero. Appropriate inclusion of time is our proposal to overcome well-known geometrical obstructions to such a program, that stopped further research of this kind. In particular, our approach is based on the realization of an exotic time-loop, that could be seen as oscillating particle-hole pairs. Although this is a theoretical paper, we moved the first steps toward testing the realization of these scenarios, by envisaging Gedankenexperiments on the interplay between an external electromagnetic field (to excite the pair particle-hole and realize the time-loops), and a suitable distribution of dislocations described as torsion (responsible for the measurable holonomy in the time-loop, hence a current). Our general analysis here establishes that we need to move to a nonlinear response regime. We then conclude by pointing to recent results from the interaction lasergraphene that could be used to look for manifestations of the torsion-induced holonomy of the time-loop, e.g., as specific patterns of suppression/generation of higher harmonics. 1 In the following we refer to two dimensional Dirac materials, with hexagonal lattice. Examples are graphene, germanene, silicene [9]. 2 We use Latin indices a; b; … for tangent/flat space and Greek indices μ; ν; … for base curved manifold. We choose the signature η ab ¼ diagðþ; −; −Þ. The Vielbeins are denoted by e a μ and their inverse by E μ a .3 This is due to the reducible, rather than irreducible, representation of the Lorentz group we use. CIAPPINA, IORIO, PAIS, and ZAMPELI PHYS. REV. D 101, 036021 (2020) 036021-2 FIG. 2. Idealized time-loop. At t ¼ 0, the hole (yellow) and the particle (black) start their journey from y ¼ 0, in opposite directions. Evolving forward in time, at t ¼ t Ã > 0, the hole reaches −y Ã , while the particle reaches þy Ã , (blue portion of the circuit). Then they come back to the original position, y ¼ 0, at t ¼ 2t Ã (red portion of the circuit). This can be repeated indefinitely. On the far right, the equivalent time-loop, where the hole moving forward in time is replaced by a particle moving backward in time.

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Section: Bridge Between the Microscopic/ Classical Picture And Itmentioning

confidence: 99%

Torsion in quantum field theory through time-loops on Dirac materials

et al. 2020

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“…When s is an odd integer these actions are identical to the effective action obtained by considering free photons coupled to fermions on lower-dimensional branes [15,16] (see also [17]). The case of d = 3 and s = 1 has recently received special attention [18][19][20][21] partly due to its relation to the physics of graphene [4,22] and its possible connection to the infrared fixed point of three-dimensional QED [23][24][25][26][27][28]. In [29] the authors attempt to relate non-local Abelian gauge theories to strange metals.…”

Section: Jhep08(2020)007mentioning

confidence: 99%

“…with Neumann boundary conditions for the gauge field. Marginality of the d = 3 theory was discussed in [18][19][20] and a check of marginality of the d = 5 theory at one loop was carried out in [17] (see also [26]).…”

Section: Jhep08(2020)007mentioning

confidence: 99%

“…In section 2.1 we will argue for the non-renormalization of the photon wavefunction based on the work of [47]. An alternate derivation of finiteness of the photon propagator for d = 3 and s = 1 can be found in [18,20]. If we consider = 0 (so that the electric charge is not classically marginal) then local kinetic terms may be generated during RG flow.…”

Section: Rg Flow Of Non-local Qedmentioning

confidence: 99%

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Renormalization and conformal invariance of non-local quantum electrodynamics

Heydeman

Jepsen

et al. 2020

J. High Energ. Phys.

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We study renormalization group flow in a non-local version of quantum electrodynamics (QED). We determine the regime in which the theory flows to a local theory in the infrared and study a possible UV completion of four-dimensional QED. In addition, we find that there exist non-local conformal theories with a one-dimensional conformal manifold and non-local deformations of QED in three dimensions that are exactly marginal. Along the way we develop methods for coupling non-local derivatives to external sources and discuss unitarity and conformal vs. scale invariance of these theories.

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“…Here, we have Wick rotated the result back to Minkowski space so that the field strength tensor that is gotten from this vector potential represent physical electric and magnetic fields. 3 The temporal component of the gauge field, α 0 (x), in equation (5.1) has two terms. The first term is the Coulomb potential of the point charge Q which is located at (x 0 , y 0 , z 0 ).…”

Section: Defect Conformal Field Theory With a Static Point Test Chargementioning

confidence: 99%

Defect QED: dielectric without a dielectric, monopole without a monopole

Grignani

Semenoff

2019

J. High Energ. Phys.

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We study a class of defect quantum field theories where the quantum field theory in the 3+1-dimensional bulk is a free photon and charged matter and the interactions of the photons with the charges occur entirely on a 2+1-dimensional defect. We observe that at the fully quantum level, the effective action of such a theory is still a defect field theory with free photons propagating in the bulk and the nonlinearities in the quantum corrections to the Maxwell equations confined to the defect. We use this observation to show that the defect field theory has interesting electromagnetic properties. The electromagnetic fields sourced by static test charges are attenuated as if the bulk surrounding them were filled with a dielectric material. This is particularly interesting when the observer and test charge are on opposite sides of the defect. Then the effect is isotropic and it is operative even in the region near the defect. If the defect is in a time reversal violating state, image charges have the appearance of electrically and magnetically charged dyons. We present the example of a single layer in a quantum Hall state. We observe that the charge screening effect in charge neutral graphene should be significant, and even more dramatic when the layer is in a metallic state with mobile electrons. arXiv:1909.03279v2 [hep-th]

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Exact quantum scale invariance of three-dimensional reduced QED theories

Cited by 30 publications

References 60 publications

Torsion in quantum field theory through time-loops on Dirac materials

Torsion in quantum field theory through time-loops on Dirac materials

Renormalization and conformal invariance of non-local quantum electrodynamics

Defect QED: dielectric without a dielectric, monopole without a monopole

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