Spontaneous breaking of Lorentz symmetry in (2+ε)-dimensional QED

2016/04/30 by Lukas Janssen · 28 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Dimension (graph theory) #Fermion #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Order (exchange) #Particle physics #Phase (matter) #Phase diagram #Physics #Quantum many-body systems #Quantum mechanics #Symmetry breaking #cond-mat.str-el #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevd.94.094013

published in Physical review. D/Physical review. D. 94(9) (American Physical Society) · 7 pages, 3 figures, v2: presentation clarified and streamlined, flow diagrams added, references added, v3: additional comments and explanations, published version

openalex created_date 2016/06/24 · openalex publication_date 2016/11/14 · arxiv created 2016/11/15 · arxiv updated 2016/11/16 · openalex updated_date 2026/08/05

Abstract

The phase diagram of massless quantum electrodynamics in three space-time dimensions as a function of fermion flavor number N exhibits two well-known phases: at large N>N_c^conf the system is in a conformal gapless state, while for small N<N_c^\ensuremathχSB the fermions are expected to develop a dynamical mass due to spontaneous chiral symmetry breaking. Using \ensuremathε expansion near the lower critical dimension of 2, as well as the recent results on the generalization of the F theorem to continuous dimension, we show that N_c^conf>N_c^\ensuremathχSB. There is therefore an intermediate range of values of N at which a third phase is stabilized. We demonstrate that this phase is characterized by spontaneous breaking of Lorentz symmetry, in which a composite vector boson field acquires a vacuum expectation value with the fermions and the photon remaining massless.

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