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One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model
Інший ID:
2010 Mathematics Subject Classification: 81T13; 81T15; 81T75
doi:10.3842/SIGMA.2010.037
doi:10.3842/SIGMA.2010.037
Посилання:
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.
Підтримка:
This paper is a contribution to the Special Issue “Noncommutative Spaces and Fields”. The full collection is available at http://www.emis.de/journals/SIGMA/noncommutative.html.
The authors are indebted to M. Schweda and M. Wohlgenannt for valuable discussions. The work of D.N. Blaschke, A. Rofner and R.I.P. Sedmik was supported by the “Fonds zur F¨orderungder Wissenschaftlichen Forschung” (FWF) under contract P20507-N16.
Дата:
2010
Переглядів:
503
Завантажень:
240
Анотація:
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
