3-7 July 2017
Africa/Johannesburg timezone

Solution of double-eigenvalue problem for a fermionic particle or gauged Q-ball in superfluid vacuum

4 Jul 2017, 11:50
20m
A303A (Engineering Building 51)

A303A

Engineering Building 51

Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics 1

Speaker

Mr Arislan Makhmudov (Peoples' Friendship University of Russia, Moscow)

Description

A model describing a fermionic particle or Q-ball in a superfluid vacuum is studied numerically. We show that it is a nonlinear double-eigenvalue problem, which thus requires a special treatment. The essential equations to solve are four nonlinear differential equations involving the spinor, electrostatic, and the logarithmically nonlinear scalar field which effectively describes background superfluid in a low-energy regime. The solution is derived in a recursive way, a detailed example demonstrating this process is presented. Among other values, self-energy and total charge of the object are numerically derived. The main conclusion is that our model is free of field singularities, its self-energy is finite and its electric field obeys the Coulomb asymptotics.

Apply to be<br> considered for a student <br> &nbsp; award (Yes / No)?

Yes

Main supervisor (name and email)<br>and his / her institution

Prof. K. A. Bronnikov, Institute of Gravitation and Cosmology, Peoples' Friendship University of Russia, 6 Miklukho-Maklaya St., Moscow 117198, Russia
kb20@yandex.ru

Level for award<br>&nbsp;(Hons, MSc, <br> &nbsp; PhD, N/A)?

PhD

Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (Yes / No)?

Yes

Primary authors

Mr Arislan Makhmudov (Peoples' Friendship University of Russia, Moscow) Dr Konstantin Zloshchastiev (Durban University of Technology) Prof. Vladimir Dzhunushaliev (Al-Farabi Kazakh National University)

Presentation Materials

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