| Texto completo | |
| Autor(es): |
Kupriyanov, Vladislav G.
[1, 2]
Número total de Autores: 1
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| Afiliação do(s) autor(es): | [1] Univ Fed ABC, CMCC, Santo Andre, SP - Brazil
[2] Tomsk State Univ, Tomsk - Russia
Número total de Afiliações: 2
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| Tipo de documento: | Artigo Científico |
| Fonte: | EUROPEAN PHYSICAL JOURNAL C; v. 80, n. 1 JAN 18 2020. |
| Citações Web of Science: | 3 |
| Resumo | |
The problem of the consistent definition of gauge theories living on the non-commutative (NC) spaces with a non-constant NC parameter Theta(x) is discussed. Working in the L-infinity formalism we specify the undeformed theory, 3d abelian Chern-Simons, by setting the initial l(1) brackets. The deformation is introduced by assigning the star commutator to the l(2) bracket. For this initial set up we construct the corresponding L-infinity structure which defines both the NC deformation of the abelian gauge transformations and the field equations covariant under these transformations. To compensate the violation of the Leibniz rule one needs the higher brackets which are proportional to the derivatives of Theta. Proceeding in the slowly varying field approximation when the star commutator is approximated by the Poisson bracket we derive the recurrence relations for the definition of these brackets for arbitrary Theta. For the particular case of su(2)-like NC space we obtain an explicit all orders formulas for both NC gauge transformations and NC deformation of Chern-Simons equations. The latter are non-Lagrangian and are satisfied if the NC field strength vanishes everywhere. (AU) | |
| Processo FAPESP: | 19/11475-6 - Workshop on Quantum Geometry, Field theory and Gravity |
| Beneficiário: | Vladislav Kupriyanov |
| Modalidade de apoio: | Auxílio à Pesquisa - Reunião - Exterior |