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In the framework of the Hartle-Hawking no-boundary proposal, we investigated quantum creation of the multidimensional universe with a cosmological constant ($\Lambda$) but without matter fields. We have found that the classical solutions of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hirotaka Ochiai , Katsuhiko Sato

We study the classical and absolute stability of Q-balls in scalar field theories with flat potentials arising in both gravity-mediated and gauge-mediated models. We show that the associated Q-matter formed in gravity-mediated potentials…

High Energy Physics - Theory · Physics 2009-08-13 Edmund J. Copeland , Mitsuo I. Tsumagari

The energy levels of hydrogen-like atoms are obtained from the phase-space quantization, one of the pillars of the old quantum theory, by three different methods - (i) direct integration, (ii) Sommerfeld's original method, and (iii) complex…

The scattering of massless fermions on a one-dimensional Q-ball is studied both analytically and numerically in the background field approximation. The wave functions of the fermionic scattering states are found in analytical form. General…

High Energy Physics - Theory · Physics 2023-01-24 A. Yu. Loginov

Spin correlations are carefully investigated in elastic $e^{+}e^{-}$ scattering in QED, for initially \textit{polarized} as well as \textit{unpolarized} particles, with emphasis placed on energy or speed of the underlying particles involved…

Quantum Physics · Physics 2008-07-14 Nattapong Yongram

The motion of a satellite around a planet can be studied by the Hill model, which is a modification of the restricted three body problem pertaining to motion of a satellite around a planet. Although the dynamics of the circular Hill model…

Earth and Planetary Astrophysics · Physics 2015-03-19 G. Voyatzis , I. Gkolias , H. Varvoglis

Non-topological gauged soliton solutions called Q-balls arise in many scalar field theories that are invariant under a U(1) gauge symmetry. The related, but qualitatively distinct, Q-shell solitons have only been shown to exist for special…

High Energy Physics - Theory · Physics 2021-09-15 Julian Heeck , Arvind Rajaraman , Christopher B. Verhaaren

Q-balls are non-topological solitons whose classical stability is ensured by a global $U(1)$ charge. In particular, Q-balls are produced in the framework of the Affleck-Dine baryogenesis where $U(1)$ charge is the baryon number. Since some…

High Energy Physics - Phenomenology · Physics 2020-06-22 Masahiro Kawasaki , Hiromasa Nakatsuka

In the present paper, we consider a $\left(1 + 1\right)$-dimensional gauge model consisting of two complex scalar fields interacting with each other through an Abelian gauge field. When the model's gauge coupling constants are set equal to…

High Energy Physics - Theory · Physics 2020-09-29 A. Yu. Loginov , V. V. Gauzshtein

Collisions of non-topological solitons, Q-balls, are considered in the Minimal Supersymmetric Standard Model where supersymmetry has been broken at a low energy scale via a gauge mediated mechanism. Q-ball collisions are studied numerically…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tuomas Multamaki , Iiro Vilja

Nonlinear interaction between normal modes dramatically affects energy equipartition, heat conduction and other fundamental processes in extended systems. In their celebrated experiment Fermi, Pasta and Ulam (FPU, 1955) observed that in…

Pattern Formation and Solitons · Physics 2009-11-11 M. V. Ivanchenko , O. I. Kanakov , K. G. Mishagin , S. Flach

Stable baryonic Q-balls, which appear in supersymmetric extensions of the Standard Model, could form at the end of cosmological inflation from fragmentation of the Affleck-Dine condensate. They can be dark matter. The existing bounds rely…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jason Schissel

We investigate the problem of determining the shape of a rotating celestial object - e.g., a comet or an asteroid - under its own gravitational field. More specifically, we consider an object symmetric with respect to one axis - such as a…

Earth and Planetary Astrophysics · Physics 2021-03-24 Wai-Ting Lam , Marian Gidea , Fredy R Zypman

For scalar theories accommodating spherically symmetric Q-balls, there are also towers of quasi-stable composite Q-balls, called charge swapping Q-balls (CSQs). We investigate the properties, particularly the lifetimes, of these long-lived…

High Energy Physics - Theory · Physics 2021-07-28 Qi-Xin Xie , Paul M. Saffin , Shuang-Yong Zhou

We examine the energetics of $Q$-balls in Maxwell-Chern-Simons theory in two space dimensions. Whereas gauged $Q$-balls are unallowed in this dimension in the absence of a Chern-Simons term due to a divergent electromagnetic energy, the…

High Energy Physics - Theory · Physics 2013-02-07 M. Deshaies-Jacques , R. MacKenzie

We define the unit circle for global function fields. We demonstrate that this unit circle (endearingly termed the \emph{$q$-unit circle}, after the finite field $\mathbb{F}_q$ of $q$ elements) enjoys all of the properties akin to the…

Number Theory · Mathematics 2018-01-30 Kenneth Ward

We extend calculational techniques for static solitons to the case of field configurations with simple time dependence in order to consider quantum effects on the stability of Q-balls. These nontopological solitons exist classically for any…

High Energy Physics - Theory · Physics 2009-11-07 N. Graham

We investigate the properties of $Q$-balls in $d$ spatial dimensions. First, a generalized virial relation for these objects is obtained. We then focus on potentials $V(\phi\phi^{\dagger})= \sum_{n=1}^{3} a_n(\phi\phi^{\dagger})^n$, where…

High Energy Physics - Theory · Physics 2007-08-30 Marcelo Gleiser , Joel Thorarinson

In the present paper, perturbations against a Q-ball solution are considered. It is shown that if we calculate the U(1) charge and the energy of the modes, which are solutions to linearized equations of motion, up to the second order in…

High Energy Physics - Theory · Physics 2018-02-20 Mikhail N. Smolyakov

We propose a model of an electrically charged fermion as a regular localized solution of electromagnetic and spinor fields interacting with a physical vacuum, which is phenomenologically described as a logarithmic superfluid. We…

High Energy Physics - Theory · Physics 2018-07-09 Vladimir Dzhunushaliev , Arislan Makhmudov , Konstantin G. Zloshchastiev