Fermion bilinear operator critical exponents at $O(1/N^2)$ in the QED-Gross-Neveu universality class

Abstract

We use the critical point large $N$ formalism to calculate the critical exponents corresponding to the fermion mass operator and flavour non-singlet fermion bilinear operator in the universality class of Quantum Electrodynamics (QED) coupled to the Gross-Neveu model for an $SU(N)$ flavour symmetry in $d$-dimensions. The $\epsilon$ expansion of the exponents in $d$ $=$ $4$ $-$ $2\epsilon$ dimensions are in agreement with recent three and four loop perturbative evaluations of both renormalization group functions of these operators. Estimates of the value of the non-singlet operator exponent in three dimensions are provided.

22 pages, 7 figures, 2 tables, minor text changes and errors in section 5 corrected

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Cited by in corpus (18)

• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• 3d Abelian Gauge Theories at the Boundary
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• New Developments in the Numerical Conformal Bootstrap
• Deconfined criticality in the QED${}_3$ Gross-Neveu-Yukawa model: The $1/N$ expansion revisited
• Transition from a Dirac spin liquid to an antiferromagnet: Monopoles in a QED3-Gross-Neveu theory
• Quantum phase transitions in Dirac fermion systems
• Confinement transition in the QED${}_3$-Gross-Neveu-XY universality class
• Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor
• Anomalous dimensions of monopole operators at the transitions between Dirac and topological spin liquids
• Critical properties of the Néel/algebraic-spin-liquid transition
• Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Gauge fixing and gauge correlations in noncompact Abelian gauge models
• QED's in $2+1$ dimensions: complex fixed points and dualities
• Fermion enhanced first-order phase transition and chiral Gross-Neveu tricritical point
• Critical exponents for the valence-bond-solid transition in lattice quantum electrodynamics
• Critical behavior of QED${}_3$--Gross-Neveu-Yukawa Theory in an Arbitrary Gauge