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 p^{-2} 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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2010-05-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.037 |
| _version_ | 1818154708275036160 |
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| author | Daniel N. Blaschke Arnold Rofner René I.P. Sedmik |
| author_facet | Daniel N. Blaschke Arnold Rofner René I.P. Sedmik |
| author_sort | Daniel N. Blaschke |
| collection | DOAJ |
| description | This paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative p^{-2} 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 (D^2θ^2D^2)^{-1} lead to difficulties 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. |
| first_indexed | 2024-12-11T14:30:48Z |
| format | Article |
| id | doaj.art-352bef076d9947689c5d10a034e33a78 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-11T14:30:48Z |
| publishDate | 2010-05-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-352bef076d9947689c5d10a034e33a782022-12-22T01:02:27ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-05-016037One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p^{-2} U(1) Gauge ModelDaniel N. BlaschkeArnold RofnerRené I.P. SedmikThis paper carries forward a series of articles describing our enterprise to construct a gauge equivalent for the θ-deformed non-commutative p^{-2} 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 (D^2θ^2D^2)^{-1} lead to difficulties 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.http://dx.doi.org/10.3842/SIGMA.2010.037noncommutative field theorygauge field theoriesrenormalization |
| spellingShingle | Daniel N. Blaschke Arnold Rofner René I.P. Sedmik One-Loop Calculations and Detailed Analysis of the Localized Non-Commutative p^{-2} U(1) Gauge Model Symmetry, Integrability and Geometry: Methods and Applications noncommutative field theory gauge field theories renormalization |
| title | 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_short | 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 |
| topic | noncommutative field theory gauge field theories renormalization |
| url | http://dx.doi.org/10.3842/SIGMA.2010.037 |
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