Stability of SU(Nc) QCD3 from the ϵ-expansion

Hart Goldman and Michael Mulligan
Phys. Rev. D 94, 065031 – Published 22 September 2016

Abstract

QCD with gauge group SU(Nc) flows to an interacting conformal fixed point in three spacetime dimensions when the number of four-component Dirac fermions NfNc. We study the perturbative stability of this fixed point via the ε-expansion about four dimensions. We find that when the number of fermions is lowered to Nfcrit112Nc+(6+4Nc)ε, a certain four-fermion operator becomes relevant and the theory flows to a new infrared fixed point that may be either massless or massive. F-theorem or entanglement monotonicity considerations complement our ε-expansion calculation.

  • Figure
  • Figure
  • Figure
  • Received 8 August 2016

DOI:https://doi.org/10.1103/PhysRevD.94.065031

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Particles & Fields

Authors & Affiliations

Hart Goldman1,2 and Michael Mulligan2,3

  • 1Department of Physics, University of Illinois, Urbana-Champaign, Illinois 61801, USA
  • 2Stanford Institute for Theoretical Physics, Stanford University, Stanford, California 94305, USA
  • 3Department of Physics and Astronomy, University of California, Riverside, California 92511, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 94, Iss. 6 — 15 September 2016

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×