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One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model

Vernadsky National Library of Ukraine

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Title One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model
 
Creator Blaschke, D.N.
Rofner, A.
Sedmik, R.I.
 
Description This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative 1 p2 model originally introduced by Gurau et al. [Comm. Math. Phys. 287 (2009), 275–290]. It is shown that breaking
terms of the form used by Vilar et al. [J. Phys. A: Math. Theor. 43 (2010), 135401, 13 pages] and ourselves [Eur. Phys. J. C: Part. Fields 62 (2009), 433–443] to localize the BRST covariant operator (D² θ² D²)⁻¹ lead to dif ficulties concerning renormalization. The reason is that this dimensionless operator is invariant with respect to any symmetry of the model, and can be inserted to arbitrary power. In the present article we discuss explicit one-loop calculations, and analyze the mechanism the mentioned problems originate from
 
Date 2019-02-08T20:25:24Z
2019-02-08T20:25:24Z
2010
 
Type Article
 
Identifier One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model / D.N. Blaschke, A. Rofner, R.I Sedmik // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 26 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 81T13; 81T15; 81T75
doi:10.3842/SIGMA.2010.037
http://dspace.nbuv.gov.ua/handle/123456789/146311
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України