Vacuum stability, fixed points, and phases of QED$_3$ at large $N_f$ - Archive ouverte HAL
Article Dans Une Revue Physical Review D Année : 2023

Vacuum stability, fixed points, and phases of QED$_3$ at large $N_f$

Lorenzo Di Pietro
  • Fonction : Auteur
Pierluigi Niro
  • Fonction : Auteur

Résumé

We consider three-dimensional Quantum Electrodynamics in the presence of a Chern-Simons term at level $k$ and $N_f$ flavors, in the limit of large $N_f$ and $k$ with $k/N_f$ fixed. We consider either bosonic or fermionic matter fields, with and without quartic terms at criticality: the resulting theories are critical and tricritical bosonic QED$_3$, Gross-Neveu and fermionic QED$_3$. For all such theories we compute the effective potentials and the $\beta$ functions of classically marginal couplings, at the leading order in the large $N_f$ limit and to all orders in $k/N_f$ and in the couplings. We determine the RG fixed points and discuss the quantum stability of the corresponding vacua. While critical bosonic and fermionic QED$_3$ are always stable CFTs, we find that tricritical bosonic and Gross-Neveu QED$_3$ exist as stable CFTs only for specific values of $k/N_f$. Finally, we discuss the phase diagrams of these theories as a function of their relevant deformations.

Dates et versions

hal-03952636 , version 1 (23-01-2023)

Identifiants

Citer

Lorenzo Di Pietro, Edoardo Lauria, Pierluigi Niro. Vacuum stability, fixed points, and phases of QED$_3$ at large $N_f$. Physical Review D, 2023, 108 (6), pp.L061902. ⟨10.1103/PhysRevD.108.L061902⟩. ⟨hal-03952636⟩
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