The Beta-Function of the Chiral Gross Neveu Model at O(1/N^2)

Abstract

We compute the $O(1/N^2)$ correction to the critical exponent $2\lambda$ $=$ $-$ ${\beta }^{\prime }(g_c)$ for the chiral Gross Neveu model in arbitrary dimensions by substituting the corrections to the asymptotic scaling forms of the propagators into the Schwinger Dyson equations and solving the resulting consistency equations.

17 latex pages, 3 figures available from author on request, LTH-335

References in corpus (6)

• Four - Fermi Theories in Fewer Than Four Dimensions
• Critical Behaviour of the 3d Gross-Neveu and Higgs-Yukawa Models
• Computation of $\beta (g_c)$ at O(1/N^2) in the O(N) Gross Neveu Model in Arbitrary Dimensions
• The Nambu-Jona-Lasinio Model at O(1/N^2)
• Algorithm for Computing the $\BETA$-Function of Quantum Electrodynamics in the Large N_f Expansion
• Gauge Independent Critical Exponents for QED Coupled to a Four Fermi Interaction with and without a Chern Simons Term

Cited by in corpus (19)

• Quantum Field Theory in the Large N Limit: a review
• Universality and the magnetic catalysis of chiral symmetry breaking
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• Quantum phase transitions in Dirac fermion systems
• Mass generation without phase coherence in the Chiral Gross-Neveu Model at finite temperature and small N in 2+1 dimensions
• Interplay of universality classes in a three-dimensional Yukawa model
• Numerical Portrait of a Relativistic Thin Film BCS Superfluid
• Yukawa CFTs and Emergent Supersymmetry
• Three dimensional four-fermion models - A Monte Carlo study
• Temperature induced phase transitions in four fermion models in curved space-time
• Critical properties of the valence-bond-solid transition in lattice quantum electrodynamics
• On the O(1/N^2) Beta-Function of the Nambu-Jona-Lasinio Model with Non-Abelian Chiral Symmetry
• Critical exponent $\eta$ at $O(1/N^3)$ in the chiral XY model using the large $N$ conformal bootstrap
• Critical Wess-Zumino models with four supercharges from the functional renormalization group
• Testing logarithmic violations to scaling in strongly coupled QED
• New Universality Classes for Quantum Critical Behavior
• Chiral critical behavior of 3D lattice fermionic models with quartic interactions
• The Critical Exponents Of The Matrix Valued Gross-Neveu Model
• Critical exponents for the valence-bond-solid transition in lattice quantum electrodynamics