Extended conformal symmetry in $d\ne 4$ : Conformal symmetry of Abelian gauge theory in the physical sector

Journal Article · Wed Jan 13 04:00:00 EST 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.93.025009· OSTI ID:1213159

Chiu, Kelly Yu-Ju ^[1]; Brodsky, Stanley J. ^[1]

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1. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)

Abelian gauge theory in $$d\neq 4$$ spacetime dimensions is an example of a scale invariant theory which does not possess conformal symmetry – the special conformal transformation(SCT) explicitly breaks the gauge invariance of the theory. In this work, we construct a non-local gauge-invariant extension of the SCT, which is compatible with the BRST formalism and defines a new symmetry of the physical Hilbert space of the Maxwell theory for any dimension d ≥ 3. We prove the invariance of the Maxwell theory in d ≥ 3 by explicitly showing that the gauge-invariant two-point correlation functions, the action, and the classical equation of motion are unchanged under such a transformation.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 1213159
• Report Number(s): SLAC-PUB--16383; arXiv:1508.06694
• Journal Information: Physical Review D, Journal Name: Physical Review D Journal Issue: 2 Vol. 93; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

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