One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model
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...
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| Дата: | 2010 |
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| Мова: | English |
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Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146311 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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irk-123456789-1463112019-02-09T01:23:21Z One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model Blaschke, D.N. Rofner, A. Sedmik, R.I. 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 2010 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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 |
| format |
Article |
| author |
Blaschke, D.N. Rofner, A. Sedmik, R.I. |
| spellingShingle |
Blaschke, D.N. Rofner, A. Sedmik, R.I. One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Blaschke, D.N. Rofner, A. Sedmik, R.I. |
| author_sort |
Blaschke, D.N. |
| title |
One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model |
| title_short |
One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model |
| title_full |
One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model |
| title_fullStr |
One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model |
| title_full_unstemmed |
One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p⁻² U(1) Gauge Model |
| title_sort |
one-loop calculations and detailed analysis of the localized non-commutative p⁻² u(1) gauge model |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146311 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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