On C J and C T in conformal QED

Simone Giombi, Grigory Tarnopolsky, Igor R. Klebanov

Research output: Contribution to journalArticle

25 Scopus citations

Abstract

QED with a large number N of massless fermionic degrees of freedom has a conformal phase in a range of space-time dimensions. We use a large N diagrammatic approach to calculate the leading corrections to CT , the coefficient of the two-point function of the stress-energy tensor, and CJ , the coefficient of the two-point function of the global symmetry current. We present explicit formulae as a function of d and check them versus the expectations in 2 and 4 − ϵ dimensions. Using our results in higher even dimensions we find a concise formula for CT of the conformal Maxwell theory with higher derivative action Fμν(−∇2)d2−2Fμν. In d = 3, QED has a topological symmetry current, and we calculate the correction to its two-point function coefficient, CJ top. We also show that some RG flows involving QED in d = 3 obey CT UV > CT IR and discuss possible implications of this inequality for the symmetry breaking at small values of N.

Original languageEnglish (US)
Article number156
JournalJournal of High Energy Physics
Volume2016
Issue number8
DOIs
StatePublished - Aug 1 2016

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • 1/N Expansion
  • Renormalization Group

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