O(1/N^3) Conformal Bootstrap Solution of the SU(2) x SU(2) Nambu--Jona-Lasinio Model

Abstract

Using the full conformal bootstrap method an analytic expression is given in d-dimensions for the anomalous dimension of the fermion at O(1/N^3) in a large N expansion of the Nambu--Jona-Lasinio model with SU(2) x SU(2) continuous chiral symmetry.

11 (latex) pages, 2 figures (available from author on request)

References in corpus (7)

• Four - Fermi Theories in Fewer Than Four Dimensions
• Computation of Critical Exponent ηat O(1/N^3) in the Four Fermi Model in Arbitrary 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)
• On the O(1/N^2) Beta-Function of the Nambu-Jona-Lasinio Model with Non-Abelian Chiral Symmetry
• Four-Fermion Theory and the Conformal Bootstrap

Cited by in corpus (5)

• Critical exponent $\eta$ at $O(1/N^3)$ in the chiral XY model using the large $N$ conformal bootstrap
• New Universality Classes for Quantum Critical Behavior
• Nambu-Jona-Lasinio Model at the Next-to-Leading Order in 1/N
• Exact Scale Invariance of Composite-Field Coupling Constants
• Renormalization Group Flow in the Cutoff Yukawa Model and a Scale Invariance in the Nambu-Jona-Lasinio Model