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We study the role of domain walls and their relics in the very early Universe within the framework of the mode-matching technique. Domain walls formed during the spontaneous breaking of discrete symmetries are modelled as a short lived…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-03 K. K. Venkataratnam

The Marginal Fermi Liquid (MFL) hypothesis proposed by Varma et al is derived from a consistent treatment of local spinfluctuations in the Falicov-Kimball model (FKM). Within an infinite-dimensional mean-field approach, a marginal Fermi…

Strongly Correlated Electrons · Physics 2008-02-03 Mukul S. Laad

Abelian non-topological solitons with Baryon and/or Lepton quantum numbers naturally appear in the spectrum of the minimal supersymmetric standard model. They arise as a consequence of the existence of flat directions in the potential…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Axenides , E. G. Floratos , G. K. Leontaris , N. D. Tracas

Fermi inhibition is a quantum statistical analogue for the inhibition of spontaneous emission by an excited atom in a cavity. This is achieved when the relevant motional states are already occupied by a cloud of cold atoms in the internal…

Statistical Mechanics · Physics 2009-10-31 Th. Busch , J. R. Anglin , J. I. Cirac , P. Zoller

Topologically stable structures include vortices in a wide variety of matter, such as skyrmions in ferro- and antiferromagnets, and hedgehog point defects in liquid crystals and ferromagnets. These are characterized by integer-valued…

Just as fermion zero modes can alter the degeneracy and quantum numbers of a soliton, fermion energies can affect the form and stability of a nontopological soliton. We discuss the kink in a two-dimensional linear sigma model, and show…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen G. Naculich

Using the method of continuous constructive renormalization group around the Fermi surface, it is proved that a jellium two-dimensional interacting system of Fermions at low temperature $T$ remains analytic in the coupling constant…

Superconductivity · Physics 2009-10-31 M. Disertori , V. Rivasseau

The existence of sterile neutrino is hinted by simultaneous explanation of diverse neutrino anomalies. We suggest that the quasi Goldstone fermions (QGF) arising in supersymmetric theory as a result of spontaneous breaking of global…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. J. Chun , A. S. Joshipura , A. Yu. Smirnov

Stability is an essential problem in theoretical and experimental studies of solitons in nonlinear media with fractional diffraction, which is represented by the Riesz derivative with Levy index (LI) taking values LI < 2. Fractional…

Pattern Formation and Solitons · Physics 2025-02-26 Thawatchai Mayteevarunyoo , Boris A. Malomed

In the standard model, stabilization of a classically unstable cosmic string may occur through the quantum fluctuations of a heavy fermion doublet. We review numerical results from a semiclassical expansion in a reduced version of the…

High Energy Physics - Theory · Physics 2015-08-12 H. Weigel , M. Quandt , N. Graham

An example of a supersymmetric model involving two interacting chiral superfields is presented here which allows for solutions describing string-like ``domain ribbon'' defects embedded within a domain wall. It is energetically favorable for…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. R. Morris

We present for the first time solutions in the gauged $U(1)\times U(1)$ model of Witten describing vortons -- spinning flux loops stabilized against contraction by the centrifugal force. Vortons were heuristically described many years ago,…

High Energy Physics - Theory · Physics 2013-10-29 Julien Garaud , Eugen Radu , Mikhail S. Volkov

We demonstrate that modulation of the local strength of the cubic self-focusing (SF) nonlinearity in the two-dimensional (2D) geometry, in the form of a circle with contrast $\Delta g$ of the SF coefficient relative to the ambient medium…

Pattern Formation and Solitons · Physics 2016-04-13 Hidetsugu Sakaguchi , Boris A. Malomed

Nontopological fermionic solitons exist across a diverse range of particle physics models and have rich cosmological implications. This study establishes a general framework for calculating fermionic soliton profiles under arbitrary scalar…

High Energy Physics - Phenomenology · Physics 2024-08-27 Ke-Pan Xie

Performing an exact diagonalization of the effective spin problem, a ferromagnetic ground state of kinetic origin is shown to emerge in a system of $N$ strongly correlated electrons on a $L$-site ring ($L > N$). This phenomenon is brought…

Strongly Correlated Electrons · Physics 2020-05-13 Ilya Ivantsov , Hernan B. Xavier , Alvaro Ferraz , Evgenii Kochetov

We explore the irreducible cosmological implications of a singlet real scalar field. Our focus is on theories with an approximate and spontaneously broken $\mathbb{Z}_2$ symmetry where quasi-stable domain walls can form at early times. This…

High Energy Physics - Phenomenology · Physics 2025-12-12 Francesco D'Eramo , Andrea Tesi , Ville Vaskonen

Fermions localized within vortex cores can form one-dimensional Fermi liquids. The nonzero density of states in these Fermi-liquids can lead to instability of the symmetric structure of the vortex core. We consider a symmetry breaking which…

Condensed Matter · Physics 2007-05-23 Yu. G. Makhlin , G. E. Volovik

We introduce spatiotemporal spinning solitons (vortex tori) of the three-dimensional nonlinear Schrodinger equation with focusing cubic and defocusing quintic nonlinearities. The first ever found completely stable spatiotemporal vortex…

Pattern Formation and Solitons · Physics 2009-11-07 D. Mihalache , D. Mazilu , L. -C. Crasovan , I. Towers , A. V. Buryak , B. A. Malomed , L. Torner , J. P. Torres , F. Lederer

Theories with low-energy supersymmetry predict the existence of stable non-topological solitons, Q-balls, that can contribute to dark matter. We discuss the experimental signatures, methods of detection, and the present limits on such dark…

High Energy Physics - Phenomenology · Physics 2011-05-05 Alexander Kusenko , Vadim Kuzmin , Mikhail Shaposhnikov , P. G. Tinyakov

Spontaneous symmetry breaking generally circumvents one-dimensional systems with local interactions in thermal equilibrium. Here, we analyze a category of one-dimensional Hermitian models via local non-Hermitian constructions. Notably,…

Quantum Physics · Physics 2025-06-30 Jia-Bao Wang , Zi-Hao Dong , Yi Zhang