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High Energy Physics - Theory

arXiv:1808.07697 (hep-th)
[Submitted on 23 Aug 2018 (v1), last revised 20 Sep 2018 (this version, v2)]

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

Authors:J.A. Gracey
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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.
Comments: 22 pages, 7 figures, 2 tables, minor text changes and errors in section 5 corrected
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el)
Report number: LTH 1173
Cite as: arXiv:1808.07697 [hep-th]
  (or arXiv:1808.07697v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1808.07697
Journal reference: Phys. Rev. D 98, 085012 (2018)
Related DOI: https://doi.org/10.1103/PhysRevD.98.085012

Submission history

From: John Gracey [view email]
[v1] Thu, 23 Aug 2018 11:06:39 UTC (179 KB)
[v2] Thu, 20 Sep 2018 09:01:41 UTC (179 KB)
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