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The double well oscillator is used as a QCD-like model for studying the relationship between large order graphs and the instanton-antiinstanton solution. We derive an equation for the perturbative coefficients of the ground state energy…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. H. Mueller , D. N. Triantafyllopoulos

The potential between infinitely heavy quarks in a color singlet state is of fundamental importance in QCD. While the confining long distance part is inherently non-perturbative, the short-distance (Coulomb-like) regime is accessible…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael Melles

Earlier investigations showed local minima in the monopole-antimonopole potential in U(1) gauge theory on the lattice. In this paper we localize monopoles of Monte-Carlo configurations. A statistical analysis of localization measurements…

High Energy Physics - Lattice · Physics 2015-05-13 Roman Hoellwieser , Manfried Faber

We provide an optimally mixing Markov chain for 6-colorings of the square lattice on rectangular regions with free, fixed, or toroidal boundary conditions. This implies that the uniform distribution on the set of such colorings has strong…

Statistical Mechanics · Physics 2015-06-25 Dimitris Achlioptas , Michael Molloy , Cristopher Moore , Frank Van Bussell

The mutual drag in strongly interacting two-component superfluids in optical lattices is discussed. Two competing drag mechanisms are the vacancy-assisted motion and proximity to the quasi-molecular state, in which an integer number $q$ of…

Soft Condensed Matter · Physics 2009-11-11 V. M. Kaurov , A. B. Kuklov , A. E. Meyerovich

We investigate the interaction of magnetic vortices and skyrmions with a spin-polarized current. In a square lattice, fixed classical spins and quantum itinerant electrons, evolve according to the coupled Landau-Lifshitz and Schr\"odinger…

Mesoscale and Nanoscale Physics · Physics 2014-04-22 Ricardo Gabriel Elias , Alberto D. Verga

Quark matter at sufficiently high density exhibits color superconductivity, due to attractive gluonic interactions. At lower densities of order $\Lambda_{QCD}^3$, it has been proposed that instanton generated vertices may play an important…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nick Evans , Stephen Hsu , Myckola Schwetz

We study the motion of test particles around a center of attraction represented by a monopole (with and without spheroidal deformation) surrounded by a ring, given as a superposition of Morgan & Morgan discs. We deal with two kinds of…

Earth and Planetary Astrophysics · Physics 2012-09-24 Javier Ramos-Caro , Juan F. Pedraza , Patricio S. Letelier

This is an outline of work in progress. We study the conjecture that the topological entropy of a real cubic map depends ``monotonely'' on its parameters, in the sense that each locus of constant entropy in parameter space is a connected…

Dynamical Systems · Mathematics 2016-09-06 Silvina P. Dawson , Roza Galeeva , John W. Milnor , Charles Tresser

By means of a systematic numerical analysis, we demonstrate that hexagonal lattices of parallel linearly-coupled waveguides, with the intrinsic cubic self-focusing nonlinearity, give rise to three species of stable semi-discrete complexes…

Pattern Formation and Solitons · Physics 2015-05-28 H. Leblond , B. A. Malomed , D. Mihalache

We investigate the confining properties of the QCD vacuum with $N_f=2$ flavors of dynamical quarks, and compare the results with the properties of the quenched theory. We use non-perturbatively $\mathcal{O}(a)$ improved Wilson fermions to…

High Energy Physics - Lattice · Physics 2008-11-26 V. G. Bornyakov , H. Ichie , Y. Koma , Y. Mori , Y. Nakamura , D. Pleiter , M. I. Polikarpov , G. Schierholz , T. Streuer , H. Stüben , T. Suzuki

Heavy hadrons are analyzed in a random and dilute gas of instantons. We derive the instanton-induced interactions between heavy and light quarks at next to leading order in the heavy quark mass and in the planar approximation, and discuss…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Chernyshev , M. A. Nowak , I. Zahed

We systematically compare filtering methods used to extract topological structures on SU(3) lattice configurations. We show that there is a strong correlation of the topological charge densities obtained by APE and Stout smearing. To get…

High Energy Physics - Lattice · Physics 2010-03-23 Falk Bruckmann , Florian Gruber , Andreas Schäfer

This letter presents a novel analysis of the action/energy density distribution around a static quark-antiquark pair in SU(3) lattice quantum chromodynamics. Using the Fourier transformation of the link variable, we remove the high-momentum…

High Energy Physics - Lattice · Physics 2010-05-07 Arata Yamamoto

We investigate how the topological charge density in lattice QCD simulations is affected by violations of chiral symmetry in different fermion actions. To this end we compare lattice configurations generated with a number of different…

High Energy Physics - Lattice · Physics 2012-01-10 Falk Bruckmann , Nigel Cundy , Florian Gruber , Thomas Lippert , Andreas Schäfer

Stable assemblages of localized vortices exist which have particle-like properties, such as mass, and which can interact with one another when they closely approach. In this article I calculate the mass of these localized states and…

Symplectic Geometry · Mathematics 2009-10-31 G. W. Patrick

The colour fields created by the static tetraquark and pentaquark systems are computed in quenched SU(3) lattice QCD, with gauge invariant lattice operators, in a 24^3 x 48 lattice at beta=6.2. We generate our quenched configurations with…

High Energy Physics - Lattice · Physics 2012-09-24 Pedro Bicudo , Nuno Cardoso , Marco Cardoso

Fundamental solitons pinned to the interface between two discrete lattices coupled at a single site are investigated. Serially and parallel-coupled identical chains (\textit{System 1} and \textit{System 2}), with the self-attractive on-site…

Pattern Formation and Solitons · Physics 2015-05-19 Lj. Hadzievski , G. Gligoric , A. Maluckov , B. A. Malomed

We study properties of instanton and monopole in an external chromomagnetic field. Generally, the 't Hooft ansatz is no longer a solution of the Yang-Mills field equation in the presence of external fields. Therefore, we investigate a…

High Energy Physics - Lattice · Physics 2009-11-07 M. Fukushima , H. Suganuma , S. Chiba

The quark and gluon nonlocal condensates and current-current correlators are discussed within the instanton liquid model.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. E. Dorokhov