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Authors = Sofian Teber

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53 pages, 698 KiB  
Review
Critical Properties of Three-Dimensional Many-Flavor QEDs
by Simon Metayer and Sofian Teber
Symmetry 2023, 15(9), 1806; https://doi.org/10.3390/sym15091806 - 21 Sep 2023
Cited by 1 | Viewed by 1681
Abstract
We review several variants of three-dimensional quantum electrodynamics (QED3) with Nf fermion (or boson) flavors, including fermionic (or spinorial) QED3, bosonic (or scalar) QED3, N=1 supersymmetric QED and also models of reduced QED (supersymmetric [...] Read more.
We review several variants of three-dimensional quantum electrodynamics (QED3) with Nf fermion (or boson) flavors, including fermionic (or spinorial) QED3, bosonic (or scalar) QED3, N=1 supersymmetric QED and also models of reduced QED (supersymmetric or not). We begin with an introduction to these models and their flow to a stable infra-red fixed point in the large-Nf limit. We then present detailed state-of-the-art computations of the critical exponents of these models within the dimensional regularization (and reduction) scheme(s), at the next-to-leading order in the 1/Nf expansion and in an arbitrary covariant gauge. We finally discuss dynamical (matter) mass generation and the current status of our understanding of the phase structure of these models. Full article
(This article belongs to the Special Issue Review on Quantum Field Theory)
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10 pages, 381 KiB  
Conference Report
Critical Behavior of (2 + 1)-Dimensional QED: 1/N Expansion
by Anatoly V. Kotikov and Sofian Teber
Particles 2020, 3(2), 345-354; https://doi.org/10.3390/particles3020026 - 10 Apr 2020
Cited by 29 | Viewed by 3189
Abstract
We present recent results on dynamical chiral symmetry breaking in (2 + 1)-dimensional QED with N four-component fermions. The results of the 1 / N expansion in the leading and next-to-leading orders were found exactly in an arbitrary nonlocal gauge. [...] Read more.
We present recent results on dynamical chiral symmetry breaking in (2 + 1)-dimensional QED with N four-component fermions. The results of the 1 / N expansion in the leading and next-to-leading orders were found exactly in an arbitrary nonlocal gauge. Full article
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