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We consider two approaches to calculate imaginary parts of effective actions in expanding space-times. While the first approach uses Bogolyubov coefficients, the second one uses the functional integral or the Feynman propagator. In eternally expandin
Externí odkaz:
http://arxiv.org/abs/2411.02170
Autor:
Akhmedov, Evgeny
Finding out if neutrinos are Dirac or Majorana particles is known to be extremely difficult. This is generally believed to be due to the smallness of the neutrino mass compared to typical neutrino energies, and to the fact that in the limit of vanish
Externí odkaz:
http://arxiv.org/abs/2410.11940
Autor:
Akhmedov, E. T., Kazarnovskii, K. A.
There are two ways to quantize free (gaussian) theory in strong background fields. In one of them, which we refer to as the Heisenberg approach, the mode functions are defined once and for entire space-time. In this approach there is no any apparent
Externí odkaz:
http://arxiv.org/abs/2410.05108
Autor:
Akhmedov, E. T., Zavgorodny, P. S.
The Schwinger's current appearing due to the breakdown of the vacuum in the strong constant electric pulse background is well known and calculated in many places. It appears due to the amplification of the zero-point fluctuations. However, we find th
Externí odkaz:
http://arxiv.org/abs/2409.00684
Autor:
Akhmedov, Azer, Ismailov, Vugar
In this paper we discuss the problem of interpolation on straight lines by linear combinations of ridge functions with fixed directions. By using some geometry and/or systems of linear equations, we constructively prove that it is impossible to inter
Externí odkaz:
http://arxiv.org/abs/2408.06443
We use different methods to calculate the imaginary part of the gravitational effective action due to a massless scalar field, with a view on perturbative vs. non-pertubative and the results of ArXiv:2305.18521.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2407.06601
Autor:
Akhmedov, Azer
We produce an example of an irreducible discrete subgroup in the product $SL(2,\R)\times SL(2,\R)$ which is not a lattice. This answers a question asked in [15].
Externí odkaz:
http://arxiv.org/abs/2406.12107
Autor:
Hamilton, M. J. D.
In an article from 2008, A. Akhmedov and B. D. Park constructed irreducible symplectic 4-manifolds homeomorphic but not diffeomorphic to the manifolds CP^2#3CP^2bar and 3CP^2#5CP^2bar. These manifolds are constructed by using generalized fibre sums.
Externí odkaz:
http://arxiv.org/abs/1102.1376
Autor:
Akbulut, Selman
Here we draw a handlebody picture for the exotic CP^2 # 2(-CP^2) constructed by Akhmedov and Park.
Comment: 21 pages, 17 pictures, final revised version to appear Advances in Math
Comment: 21 pages, 17 pictures, final revised version to appear Advances in Math
Externí odkaz:
http://arxiv.org/abs/1107.3073