Gauge Field Improvement,Form-Scalar Duality and Conformal Invariance

Details Gauge Field Improvement,Form-Scalar Duality and Conformal Invariance Gauge Field Improvement,Form-Scalar Duality and Conformal Invariance

1994-04-29

arxiv.org/abs/hep-th/9404183v1

Int.J.Mod.Phys.B8:3741-3748,1994

Physics

High Energy Physics

High Energy Physics - Theory

8 pages ,CERN-TH.7224 IAS 94/24

Scientific paper

10.1142/S0217979294001627

The problem of maintaining scale and conformal invariance in Maxwell and general N-form gauge theories away from their critical dimension d=2(N+1) is analyzed.We first exhibit the underlying group-theoretical clash between locality,gauge,Lorentz and conformal invariance require- ments. "Improved" traceless stress tensors are then constructed;each violates one of the above criteria.However,when d=N+2,there is a duality equivalence between N-form models and massless scalars.Here we show that conformal invariance is not lost,by constructing a quasilocal gauge invariant improved stress tensor.The correlators of the scalar theory are then reproduced,including the latter's trace anomaly.

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