2018/01/31 by J. A. Gracey · 1 citation
Physics and Astronomy · #hep-th #cond-mat.str-el
paper · pdf · doi:10.1103/physrevd.97.105009
published as Phys. Rev. D 97, 105009 (2018) · 26 latex pages, 9 figures, 2 tables, anc directory contains txt file with electronic version of critical exponents; minor typos corrected and notation clarified
arxiv created 2018/04/10 · arxiv updated 2018/05/23
We compute the large N critical exponents η, ηϕ and 1/ν in d-dimensions in the chiral Heisenberg Gross-Neveu model to several orders in powers of 1/N. For instance, the large N conformal bootstrap method is used to determine η at O(1/N3) while the other exponents are computed to O(1/N2). Estimates of the exponents for a phase transition in graphene are given which are shown to be commensurate with other approaches. In particular the behaviour of the exponents in 2 < d < 4 is in qualitative agreement with a functional renormalization group analysis. The ε-expansion of the exponents near four dimensions are in agreement with recent four loop perturbation theory.