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We discuss spectral properties of a regularization approach to a Schr\"odinger equation set-up for the diffraction of a quantum particle at almost planar patterns. Physically meaningful initial values and potentials are modeled in terms of…

Mathematical Physics · Physics 2025-03-28 Günther Hörmann , Ljubica Oparnica , Christian Spreitzer

Recently it was demonstrated that the concept of a spectral singularity (SS) can be generalized to waves propagating in nonlinear media, like matter waves or electromagnetic waves in Kerr media. The corresponding solutions represent…

Pattern Formation and Solitons · Physics 2021-11-25 Dmitry A. Zezyulin , Vladimir V. Konotop

The Schwinger Boson mean field theories of the `t-J' model are extended by the consideration of anisotropic order parameters. This has two effects. First, a collinear phase, in which the spins are anti-ferromagnetically aligned in one…

Condensed Matter · Physics 2009-10-22 W. Barford , S. Jadhav

We study two-dimensional gauge theories with fundamental fermions and a general first order gauge-field Lagrangian. For the case of U(1) we show how standard bosonization of the Schwinger model generalizes to give mesons interacting through…

High Energy Physics - Theory · Physics 2009-10-28 Michael R. Douglas , Keke Li , Matthias Staudacher

The subleading term of the heavy quark potential (the analogue of the Luscher term) is computed in a string model for the case of three quarks. It turns out to be positive in 2+1 dimensions, making the potential non-concave as a function of…

High Energy Physics - Lattice · Physics 2009-11-10 Oliver Jahn , Philippe de Forcrand

We excite the vacuum of a relativistic theory of bosons coupled to a $U(1)$ gauge field in 1+1 dimensions (bosonic Schwinger model) out of equilibrium by creating a spatially separated particle-antiparticle pair connected by a string of…

Statistical Mechanics · Physics 2021-10-05 Titas Chanda , Jakub Zakrzewski , Maciej Lewenstein , Luca Tagliacozzo

Scaling concepts and renormalization group (RG) methods are applied to a simple linear model of human posture control consisting of a trembling or quivering string subject to damping and restoring forces. The string is driven by…

Condensed Matter · Physics 2009-10-31 Francisco Alonso-Sanchez , David Hochberg

Starting from the three-dimensional Gross-Pitaevskii equation we derive a 1D generalized nonpolynomial Schrodinger equation, which describes the dynamics of Bose-Einstein condensates under the action of a generic potential in the…

Quantum Gases · Physics 2015-05-13 Luca Salasnich

The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves that may appear in the damped response of the forced system.…

We propose a new approach towards the understanding of confinement. Starting from an anisotropic five dimensional pure gauge theory, we approach a second order phase transition where the system reduces dimensionally. Dimensional reduction…

High Energy Physics - Lattice · Physics 2010-05-12 Nikos Irges , Francesco Knechtli

We study three well known models of matter coupled to the ultraviolet cutoff, quantized radiation field and to the Coulomb potential of arbitrarily many nuclei. Two are nonrelativistic: the first uses the kinetic energy (p+eA(x))^2 and the…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Michael Loss

A new non relativistic quark model to calculate the spectrum of heavy quark mesons is developed. The model is based on an interquark potential interaction that implicitly incorporates screening effects from meson-meson configurations. An…

High Energy Physics - Phenomenology · Physics 2014-08-29 P. Gonzalez

The modified O'Raifeartaigh model from the context of the generalized seesaw mechanism of neutrino mass is investigated. In our evaluation of effective potentials of the theory, both the component field and the superspace formalisms to…

High Energy Physics - Phenomenology · Physics 2008-12-08 Tadafumi Ohsaku

We analyse the renormalizability of an Abelian N=1 super-Chern-Simons model coupled to parity-preserving matter on the light of the regularization independent algebraic method. The model shows to be stable under radiative corrections and to…

High Energy Physics - Theory · Physics 2008-11-26 L. P. Colatto , M. A. De Andrade , O. M. Del Cima , D. H. T. Franco , J. A. Helayel-Neto , O. Piguet

Normalized ground state solutions (NGSS) of Schrodinger equations (SE) have attracted the attention of many research groups during the last decades. This is essentially due to their relevance in many fields in physics and engineering, where…

Analysis of PDEs · Mathematics 2023-11-29 Hichem Hajaiej , Linjie Song

The quark potential model and resonating group method are used to investigate the $\bar{K}N$ bound states and/or resonances. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the confining…

High Energy Physics - Phenomenology · Physics 2009-11-11 Hai-Jhun Wanng , Jun-Chen Su

We use an effective matrix model to study deconfinement in a pure SU(Nc) gauge theory, without quarks, in d=2+1 dimensions. Expanding about a constant background A0 field we construct an effective potential for the eigenvalues of the…

High Energy Physics - Phenomenology · Physics 2014-04-23 Pedro Bicudo , Robert D. Pisarski , Elina Seel

The regularization scheme is proposed for the constrained Hamiltonian formulation of the gauge fields coupled to the chiral or axial fermions. The Schwinger terms in the regularized operator first-class constraint algebra are shown to be…

High Energy Physics - Theory · Physics 2009-10-28 I. Yu. Karataeva , S. L. Lyakhovich

We propose a model for a chain of particles coupled by nonlinear springs in which each mass has an internal mass and all interactions are assumed to be nonlinear. We show how to construct an asymptotic solution of this system using multiple…

Pattern Formation and Solitons · Physics 2022-06-08 Jonathan AD Wattis

We study the relation of confinement and chiral symmetry breaking in gauge theories with non-trivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Jens Braun , Tina K. Herbst
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