Classical mechanics in noncommutative spaces: confinement and more

Autor: Vladislav Kupriyanov, Maxim Kurkov, Alexey Sharapov

Publikováno v: European Physical Journal C: Particles and Fields, Vol 84, Iss 10, Pp 1-13 (2024)

Abstract We consider a semi-classical approximation to the dynamics of a point particle in a noncommutative space. In this approximation, the noncommutativity of space coordinates is described by a Poisson bracket. For linear Poisson brackets, the co

Externí odkaz: https://doaj.org/article/05b46013a5314c9583375f2fe3e9fdcd

Gravitational parity anomaly with and without boundaries

Autor: Maxim Kurkov, Dmitri Vassilevich

Publikováno v: Journal of High Energy Physics, Vol 2018, Iss 3, Pp 1-17 (2018)

Abstract In this paper we consider gravitational parity anomaly in three and four dimensions. We start with a re-computation of this anomaly on a 3D manifold without boundaries and with a critical comparison of our results to the previous calculation

Externí odkaz: https://doaj.org/article/e11e5a9ce9784bc596535941ae0dd3ae

κ-Minkowski-deformation of U(1) gauge theory

Autor: P. Vitale, Vladislav G. Kupriyanov, Maxim Kurkov

Publikováno v: Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-18 (2021)
Journal of High Energy Physics

We construct a non-commutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 2008 (2020) 041. We obtain an exact (all orders in the non-commutativity parameter) expression for both the defor

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::745cc9a06837aa32b2eee0ac9757edfd
https://doi.org/10.1007/jhep01(2021)102

Remark on the synergy between the heat kernel techniques and the parity anomaly

Autor: Lorenzo Leone, Maxim Kurkov

In this paper, we demonstrate that not only the heat kernel techniques are useful for computation of the parity anomaly, but also the parity anomaly turns out to be a powerful mean in studying the heat kernel. We show that the gravitational parity an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fed4366a70e31c744318759116f0fffa
http://hdl.handle.net/11588/834836

Gravitational parity anomaly with and without boundaries

Autor: Dmitri Vassilevich, Maxim Kurkov

Publikováno v: Journal of High Energy Physics, Vol 2018, Iss 3, Pp 1-17 (2018)
Journal of high energy physics. 2018. № 3. P. 072 (1-16)
Journal of High Energy Physics

In this paper we consider gravitational parity anomaly in three and four dimensions. We start with a re-computation of this anomaly on a 3D manifold without boundaries and with a critical comparison of our results to the previous calculations. Then w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fc8875fd5a7b8c4c7bbe64c05d3a5ef
http://link.springer.com/article/10.1007/JHEP03(2018)072