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  • Letter
  • Open Access

Vacuum stability, fixed points, and phases of QED3 at large Nf

Lorenzo Di Pietro1, Edoardo Lauria2, and Pierluigi Niro3

  • 1Dipartimento di Fisica, Università di Trieste, Strada Costiera 11, I-34151 Trieste, Italy and INFN, Sezione di Trieste, Via Valerio 2, I-34127 Trieste, Italy
  • 2CPHT, CNRS, École Polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, France
  • 3Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA

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Phys. Rev. D 108, L061902 – Published 11 September, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L061902

Abstract

We consider three-dimensional quantum electrodynamics in the presence of a Chern-Simons term at level k and Nf flavors, in the limit of large Nf and k with k/Nf fixed. We consider either bosonic or fermionic matter fields, with and without quartic terms at criticality: the resulting theories are critical and tricritical bosonic QED3, Gross-Neveu, and fermionic QED3. For all such theories we compute the effective potentials and the β functions of classically marginal couplings, at the leading order in the large Nf limit and to all orders in k/Nf and in the couplings. We determine the renormalization group fixed points and discuss the quantum stability of the corresponding vacua. While critical bosonic and fermionic QED3 are always stable conformal field theories, we find that tricritical bosonic and Gross-Neveu QED3 exist as stable conformal field theories only for specific values of k/Nf. Finally, we discuss the phase diagrams of these theories as a function of their relevant deformations.

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Phys. Rev. D 108, L061902– Published 11 September, 2023
  • Received 15 June 2023
  • Accepted 21 August 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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