Muthuswamy Sivakumar | School of Physics University of Hyderabad - Índia
Hamilton (Jacobi) formulation of the dark sector of the universe and contextualize...
| Full text | |
| Author(s): |
Kupriyanov, V. G.
;
Kurkov, M. A.
;
Vitale, P.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of High Energy Physics; v. N/A, n. 11, p. 27-pg., 2022-11-11. |
| Abstract | |
The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to the geometric meaning of the structures involved and advance in the direction of a further development of the proposed formalism, including the derivation of Noether identities and conservation of currents. For any linear non-commutativity, Theta(ab)(x) = f(c)(ab) x(c), with f(c)(ab) being structure constants of a Lie algebra, an explicit form of the gauge Lagrangian is proposed. In particular a universal solution for the matrix rho defining the field strength and the covariant derivative is found. The previously known examples of kappa-Minkowski, lambda-Minkowski and rotationally invariant non-commutativity are recovered from the general formula. The arbitrariness in the construction of Poisson gauge models is addressed in terms of Seiberg-Witten maps, i.e., invertible field redefinitions mapping gauge orbits onto gauge orbits. (AU) | |
| FAPESP's process: | 21/09313-8 - Homotopy algebras, symplectic embeddings and non-commutative Gauge Theory |
| Grantee: | Vladislav Kupriyanov |
| Support Opportunities: | Regular Research Grants |