Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Kurkov, Maxim"'
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 correspondi
Externí odkaz:
http://arxiv.org/abs/2405.09348
Autor:
Kurkov, Maxim, Vitale, Patrizia
We construct a family of four-dimensional noncommutative deformations of $U(1)$ gauge theory following a general scheme, recently proposed in JHEP 08 (2020) 041 for a class of coordinate-dependent noncommutative algebras. This class includes the $\ma
Externí odkaz:
http://arxiv.org/abs/2108.04856
Autor:
Kurkov, Maxim, Vassilevich, Dmitri
Publikováno v:
Phys. Rev. Lett. 124, 176802 (2020)
We present full expressions for the surface part of polarization tensor of a Dirac fermion confined in a half-space in $3+1$ dimensions. We compare this tensor to the polarization tensor of eventual surface mode (which is a $2+1$ dimensional Dirac fe
Externí odkaz:
http://arxiv.org/abs/2002.06721
Autor:
Kurkov, Maxim, Leone, Lorenzo
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:
http://arxiv.org/abs/1910.07040
We review the approach to the standard model of particle interactions based on spectral noncommutative geometry. The paper is (nearly) self-contained and presents both the mathematical and phenomenological aspects. In particular the bosonic spectral
Externí odkaz:
http://arxiv.org/abs/1906.09583
Autor:
Ciric, Marija Dimitrijevic, Konjik, Nikola, Kurkov, Maxim A., Lizzi, Fedele, Vitale, Patrizia
Publikováno v:
Phys. Rev. D 98, 085011 (2018)
We consider a noncommutative field theory with space-time $\star$-commutators based on an angular noncommutativity, namely a solvable Lie algebra: the Euclidean in two dimension. The $\star$-product can be derived from a twist operator and it is show
Externí odkaz:
http://arxiv.org/abs/1806.06678
Autor:
Kurkov, Maxim, Vassilevich, Dmitri
Publikováno v:
JHEP 1803 (2018) 072
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:
http://arxiv.org/abs/1801.02049
Autor:
Kurkov, Maxim A., Lizzi, Fedele
Publikováno v:
Phys. Rev. D 97, 085024 (2018)
We consider aspects of the noncommutative approach to the standard model based on the spectral action principle. We show that as a consequence of the incorporation of the Clifford structures in the formalism, the spectral action contains an extended
Externí odkaz:
http://arxiv.org/abs/1801.00260
Autor:
Kurkov, Maxim, Vitale, Patrizia
Publikováno v:
Int. J. Geom. Meth. Mod. Phys. 15, (2018) 1850119
After reviewing Gribov ambiguity of non-Abelian gauge theories, a phenomenon related to the topology of the bundle of gauge connections, we show that there is a similar feature for noncommutative QED over Moyal space, despite the structure group bein
Externí odkaz:
http://arxiv.org/abs/1706.01098
Publikováno v:
Phys. Rev. D 94, 025030 (2016)
In this paper, we discuss two features of the noncommmutative geometry and spectral action approach to the Standard Model: the fact that the model is inherently Euclidean, and that it requires a quadrupling of the fermionic degrees of freedom. We sho
Externí odkaz:
http://arxiv.org/abs/1605.03231