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Title: Extended conformal symmetry in d4 : Conformal symmetry of Abelian gauge theory in the physical sector

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.
Authors:
 [1] ;  [1]
  1. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
Publication Date:
OSTI Identifier:
1213159
Report Number(s):
SLAC-PUB--16383
Journal ID: ISSN 2470-0010; PRVDAQ; arXiv:1508.06694
DOE Contract Number:
AC02-76SF00515
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review D; Journal Volume: 93; Journal Issue: 2
Publisher:
American Physical Society (APS)
Research Org:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS Theory-HEP; HEPTH