Extended conformal symmetry in : Conformal symmetry of Abelian gauge theory in the physical sector
Journal Article
·
· Physical Review D
- 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 Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- DOE Contract Number:
- AC02-76SF00515
- OSTI ID:
- 1213159
- Report Number(s):
- SLAC-PUB-16383; PRVDAQ; arXiv:1508.06694
- Journal Information:
- Physical Review D, Vol. 93, Issue 2; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
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