Infrared fixed point physics in SO(Nc) and Sp(Nc) gauge theories

Thomas A. Ryttov and Robert Shrock
Phys. Rev. D 96, 105015 – Published 22 November 2017

Abstract

We study properties of asymptotically free vectorial gauge theories with gauge groups G=SO(Nc) and G=Sp(Nc) and Nf fermions in a representation R of G, at an infrared (IR) zero of the beta function, αIR, in the non-Abelian Coulomb phase. The fundamental, adjoint, and rank-2 symmetric and antisymmetric tensor fermion representations are considered. We present scheme-independent calculations of the anomalous dimensions of (gauge-invariant) fermion bilinear operators γψ¯ψ,IR to O(Δf4) and of the derivative of the beta function at αIR, denoted βIR, to O(Δf5), where Δf is an Nf-dependent expansion variable. It is shown that all coefficients in the expansion of γψ¯ψ,IR that we calculate are positive for all representations considered, so that to O(Δf4), γψ¯ψ,IR increases monotonically with decreasing Nf in the non-Abelian Coulomb phase. Using this property, we give a new estimate of the lower end of this phase for some specific realizations of these theories.

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  • Received 15 September 2017

DOI:https://doi.org/10.1103/PhysRevD.96.105015

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Thomas A. Ryttov1 and Robert Shrock2

  • 1CP3-Origins and Danish Institute for Advanced Study University of Southern Denmark, Campusvej 55, Odense, Denmark
  • 2C. N. Yang Institute for Theoretical Physics Stony Brook University, Stony Brook, New York 11794, USA

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Issue

Vol. 96, Iss. 10 — 15 November 2017

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