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On C-J and C-T in conformal QED

Author(s): Giombi, Simone; Tarnopolsky, Grigory; Klebanov, Igor R

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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 C-T, the coefficient of the two- point function of the stress-energy tensor, and C-J, 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 - epsilon dimensions. Using our results in higher even dimensions we find a concise formula for CT of the conformal Maxwell theory with higher derivative action F-mu nu (-V-2)F-d/2-2(mu nu). In d = 3, QED has a topological symmetry current, and we calculate the correction to its two- point function coefficient, C-J(top). We also show that some RG flows involving QED in d = 3 obey C-T(UV) > C-T(IR) and discuss possible implications of this inequality for the symmetry breaking at small values of N.
Publication Date: Aug-2016
Electronic Publication Date: 26-Aug-2016
Citation: Giombi, Simone, Tarnopolsky, Grigory, Klebanov, Igor R. (2016). On C-J and C-T in conformal QED. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP08(2016)156
DOI: doi:10.1007/JHEP08(2016)156
ISSN: 1029-8479
Pages: (2016)156-1 - (2016)156-22
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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