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Exact quantum scale invariance of three-dimensional reduced QED theories

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Author(s):
Dudal, David ; Mizher, Ana Julia ; Pais, Pablo
Total Authors: 3
Document type: Journal article
Source: Physical Review D; v. 99, n. 4, p. 7-pg., 2019-02-25.
Abstract

An effective quantum field theory description of graphene in the ultrarelativistic regime is given by reduced quantum electrodynamics (QED) also known as pseudo QED also known as mixed-dimensional QED. It has been speculated in the literature that reduced QED constitutes an example of a specific class of hard-to-find theories: an interacting conformal field theories (CFT) in more than two dimensions. This speculation was based on two-loop perturbation theory. Here, we give a proof of this feature, namely the exact vanishing of the beta-function, thereby showing that reduced QED can effectively be considered as an interacting (boundary) CFT, underpinning recent work in this area. The argument, valid for both two-and four-component spinors, also naturally extends to an exactly marginal deformation of reduced QED, thence resulting in a nonsupersymmetric conformal manifold. The latter corresponds to boundary layer fermions between two different dielectric half-spaces. (AU)

FAPESP's process: 16/12705-7 - Magnetic fields in heavy ion collisions: effects on obserbables
Grantee:Ana Júlia Silveira Mizher
Support Opportunities: Scholarships in Brazil - Post-Doctoral