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Gauge Field Improvement, Form-Scalar Duality and Conformal Invariance and Quasi-locality

Deser, S. and Schwimmer, A. (1994) Gauge Field Improvement, Form-Scalar Duality and Conformal Invariance and Quasi-locality. International Journal of Modern Physics B, 8 (25-26). pp. 3741-3748. ISSN 0217-9792.

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The problem of maintaining scale and conformal invariance in Maxwell and general N form gauge theories away from their critical dimension d_c = 2(N + 1) is analyzed. We first exhibit the underlying group-theoretical clash between locality, gauge, Lorentz and conformal invariance requirements. “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 in d = N + 2. Here we show that N-form 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. This resolves the old conformal invariance “paradox” between the dual partners.

Item Type:Article
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URLURL TypeDescription Paper
Deser, S.0000-0001-9285-9434
Alternate Title:Gauge Field Improvement, Form-Scalar Duality and Conformal Invariance
Additional Information:© 1994 World Scientific Publishing. Received: 31 March 1994. Revised: 28 April 1994. This work was supported by NSF grants PHY-93-15811, 92-45316, by Israel-US Binational grant 89-00140, and by the Ambrose Monell Foundation.
Funding AgencyGrant Number
Binational Science Foundation (USA-Israel)89-00140
Ambrose Monell FoundationUNSPECIFIED
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Issue or Number:25-26
Record Number:CaltechAUTHORS:20161216-094039995
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Official Citation:GAUGE FIELD IMPROVEMENT, FORM-SCALAR DUALITY, CONFORMAL INVARIANCE AND QUASI-LOCALITY S. DESER and A. SCHWIMMER International Journal of Modern Physics B 1994 08:25n26, 3741-3748
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72904
Deposited By: George Porter
Deposited On:16 Dec 2016 22:40
Last Modified:03 Oct 2019 16:22

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