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The dynamics of instantons and anti-instantons in lattice QCD can be studied by analysing the action and topological charge of configurations as they approach a self-dual or anti-self-dual state, i.e. a state in which S/S_0=|Q|. We use…

High Energy Physics - Lattice · Physics 2010-03-04 S. Bilson-Thompson , F. D. R. Bonnet , D. B. Leinweber , A. G. Williams

Spontaneous wavefunction collapse models, like the Continuous Spontaneous Localization, are designed to suppress macroscopic superpositions, while preserving microscopic quantum phenomena. An observable consequence of collapse models is…

Quantum Physics · Physics 2019-08-27 Antoine Tilloy , Thomas M. Stace

We use Laplacian Center Gauge to reveal the vortex content of single SU(2) calorons and multi-caloron systems at different holonomies. The vortex surfaces in a single SU(2) caloron consist of two parts that are induced by the constituent…

High Energy Physics - Lattice · Physics 2010-02-18 Bo Zhang , Falk Bruckmann , Ernst-Michael Ilgenfritz

Oscillons are spatially stationary, quasi-periodic solutions of nonlinear field theories seen in settings ranging from granular systems, low temperature condensates and early universe cosmology. We describe a new class of oscillon in which…

High Energy Physics - Theory · Physics 2017-01-23 Chang Liu , Richard Easther

Molecular dynamics simulation is employed to understand the thermodynamic behavior of cuboctahedron (cub) and icosahedron (ico) nanoparticles with 2-20 number of shells (55-28741 atoms). The embedded atom method was used to describe the…

Materials Science · Physics 2019-08-13 Maryam Azadeh , Movaffaq Kateb , Pirooz Marashi

We report the observation of calorons with nontrivial holonomy and fractional topological charge objects in cooled lattice samples derived from SU(2) equilibrium ensembles at $T<T_c$.

High Energy Physics - Lattice · Physics 2017-08-23 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , S. Shcheredin , A. I. Veselov

We obtain nonperturbative results on the sine-Gordon model using the lattice field technique. In particular, we employ the Fourier accelerated hybrid Monte Carlo algorithm for our studies. We find the critical temperature of the theory…

High Energy Physics - Lattice · Physics 2020-04-08 James Flamino , Joel Giedt

The behavior of the finite-temperature C-function, defined by Neto and Fradkin [Nucl. Phys. B {\bf 400}, 525 (1993)], is analyzed within a d -dimensional exactly solvable lattice model, recently proposed by Vojta [Phys. Rev. B {\bf 53}, 710…

Statistical Mechanics · Physics 2008-11-26 Daniel M. Danchev , Nicholay S. Tonchev

This is the first in a series of papers which ultimately aims on improving on the present estimates on the axion mass by modeling the topological non-perturbative QCD dynamics. Axions couple to instantons and their mass is set by the…

High Energy Physics - Phenomenology · Physics 2010-01-21 Olivier Wantz

Reduced large N gauge theories have a phase with unbroken center symmetry and phases in which that symmetry is broken for Polyakov loops in one or more lattice directions. The phase with unbroken symmetry is associated with the zero…

High Energy Physics - Lattice · Physics 2009-11-11 Joe Kiskis

We consider the $SU(N)$ Yang-Mills theory, whose topological sectors are restricted to the instanton number with integer multiples of $p$. We can formulate such a quantum field theory maintaining locality and unitarity, and the model…

High Energy Physics - Theory · Physics 2020-03-25 Yuya Tanizaki , Mithat Ünsal

We study two families of quantum models which have been used previously to investigate the effect of topological symmetries in one-dimensional correlated matter. Various striking similarities are observed between certain $\mathbf{Z}_n$…

Statistical Mechanics · Physics 2018-02-09 Peter E. Finch , Michael Flohr , Holger Frahm

To elucidate the role played by instantons in chiral symmetry breaking, we explore their properties in full QCD, around the critical temperature. We study in particular spatial correlations between low-lying Dirac eigenmodes and instantons.…

High Energy Physics - Lattice · Physics 2009-10-31 Ph. de Forcrand , M. Garcia Perez , J. E. Hetrick , E. Laermann , J. F. Lagae , I. O. Stamatescu

We study the solutions of the Dirac equation in the adjoint representation(gluinos) in the background field of SU(2) unit charge calorons. Our solutions are forced to be antiperiodic in thermal time and would occur naturally in a…

High Energy Physics - Theory · Physics 2008-11-26 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Alfonso Sastre

We show that any finite energy solution of the energy-critical nonlinear heat flow in dimensions $d\geq 3$ asymptotically resolves into a sum of possibly time-dependent solitons, a radiation term, and an error term that vanishes in the…

Analysis of PDEs · Mathematics 2026-01-05 Shrey Aryan

Neutron scattering measurements on the one-dimensional gapped S=1 antiferromagnet, CsNiCl3, have shown that the excitation corresponding to the Haldane mass gap Delta at low temperatures persists as a resonant feature to high temperatures.…

Strongly Correlated Electrons · Physics 2009-10-31 M. Kenzelmann , R. A. Cowley , W. J. L. Buyers , D. F. McMorrow

As one approaches the continuum limit, $QCD$ systems, investigated via numerical simulations, remain trapped in sectors of field space with fixed topological charge. As a consequence the numerical studies of physical quantities may give…

High Energy Physics - Lattice · Physics 2016-08-02 Alessandro Laio , Guido Martinelli , Francesco Sanfilippo

In theories with low energy supersymmetry breaking, the effective potential for squarks and sleptons has generically nearly flat directions, V(phi) ~ M^4 (log(phi/M))^n. This guarantees the existence of stable non-topological solitons,…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Laine , M. Shaposhnikov

Three-dimensional $Z(N)$ lattice gauge theories are studied numerically at finite temperature for $N$ = 5, 6, 8, 12, 13, 20 and for $N_t$=2,4,8. For each model the location of phase transitions and its critical indices are determined. The…

High Energy Physics - Lattice · Physics 2014-10-06 Oleg Borisenko , Volodymyr Chelnokov , Mario Gravina , Alessandro Papa

Many quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyze the…

High Energy Physics - Theory · Physics 2007-05-23 E. Frenkel , A. Losev , N. Nekrasov