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We generate a random instanton vacuum with various densities and size distributions. We perform numerically the maximally abelian gauge fixing of these configurations in order to find monopole trajectories induced by instantons. We find…

High Energy Physics - Lattice · Physics 2019-08-15 Masahiro Fukushima , Shoichi Sasaki , Hideo Suganuma , Atsunori Tanaka , Hiroshi Toki , Dmitri Diakonov

The present paper is the second part of our project in which we describe quantum field theories with instantons in a novel way by using the "infinite radius limit" (rather than the limit of free field theory) as the starting point. The…

High Energy Physics - Theory · Physics 2008-03-28 E. Frenkel , A. Losev , N. Nekrasov

Numerical and anaytical studies of the instanton liquid model have allowed the determination of many hadronic parameters during the last 13 years. Most part of this thesis is devoted to the extension of the analytical methods. The meson…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcus Hutter

Using the gauge/gravity correspondence, we study the properties of 2-point correlation functions of finite-temperature strongly coupled gauge field theories, defined on a curved space of general spatial topology with a dual black hole…

High Energy Physics - Theory · Physics 2015-06-05 Igal Arav , Yaron Oz

We calculate instanton corrections to three dimensional gauge theories with N=4 and N=8 supersymmetry and SU(n) gauge groups. The N=4 results give new information about the moduli space of n BPS SU(2) monopoles, including the leading order…

High Energy Physics - Theory · Physics 2016-08-25 Christophe Fraser , David Tong

We study the Abelian and non-Abelian action densitynear the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory. We find that the non-Abelian action density near the monopoles belonging to the percolating cluster decreases…

High Energy Physics - Lattice · Physics 2009-11-07 V. G. Bornyakov , M. N. Chernodub , F. V. Gubarev , M. I. Polikarpov , T. Suzuki , A. I. Veselov , V. I. Zakharov

Three topics about monopole dynamics after abelian projection are reported. The first is the new and detailed analyses of $SU(2)$ monopole action obtained after the block-spin transformation on the dual lattice. The $b=na(\beta)$ dependence…

An effective monopole action for various extended monopoles is derived from vacuum configurations after abelian projection in the maximally abelian gauge in $SU(2)$ QCD. The action appears to be independent of the lattice volume. Moreover…

High Energy Physics - Lattice · Physics 2009-10-22 Hiroshi Shiba , Tsuneo Suzuki

The distinguishability of at least two species of particles in the classical lattice gas with no interactions except hard-core exclusion entails additional interparticle correlations. A nonlinear mixing flow appears and manifests itself…

Statistical Mechanics · Physics 2013-02-07 O. V. Kliushnychenko , S. P. Lukyanets

We study topological defects constructed from diagonal and non-diagonal gluons in Abelian projection of zero temperature lattice QCD. We compare results obtained in the quenched and non-quenched vacuum field configurations and show that the…

High Energy Physics - Lattice · Physics 2007-05-23 P. Yu. Boyko , M. N. Chernodub , A. V. Kovalenko , S. M. Morozov , M. I. Polikarpov

I present some preliminary results, obtained in collaboration with C. Bernard and A. Soni, for the lattice evaluation of 2- and 3-point gluon correlation functions in momentum space, with emphasis on the amputated 3-gluon vertex function.…

High Energy Physics - Lattice · Physics 2009-10-22 Claudio Parrinello

The properties of the thermal Abelian color-magnetic monopoles in the maximally Abelian gauge are studied in the vicinity of the confinement-deconfinement phase transition in the lattice $SU(3)$ gluodynamics and lattice QCD. We compute the…

High Energy Physics - Lattice · Physics 2013-12-17 V. G. Bornyakov , A. G. Kononenko , V. K. Mitrjushkin

Within the context of the Abelian Projection of QCD monopole-like quantum excitations of gauge fields are studied. We start with certain classical solutions, of the SU(2) Yang-Mills field equations, which are not monopole-like and whose…

High Energy Physics - Lattice · Physics 2014-11-17 V. Dzhunushaliev , D. Singleton

We study the Abelian projection of an instanton in $R^3 \times S^1$ as a function of temperature (T) and non-trivial holonomic twist ($\omega$) of the Polyakov loop at infinity. These parameters interpolate between the circular monopole…

High Energy Physics - Lattice · Physics 2008-11-26 R. C. Brower , D. Chen , J. Negele , K. Orginos , C-I Tan

We present results for lattice QCD in the limit of infinite gauge coupling on a discrete spatial but continuous Euclidean time lattice. A worm type Monte Carlo algorithm is applied in order to sample two-point functions which gives access…

High Energy Physics - Lattice · Physics 2018-11-06 Marc Klegrewe , Wolfgang Unger

We aim to show the effects of the magnetic monopoles and instantons in quantum chromodynamics (QCD) on observables; therefore, we introduce a monopole and anti-monopole pair in the QCD vacuum of a quenched SU(3) by applying the monopole…

High Energy Physics - Lattice · Physics 2021-03-23 Masayasu Hasegawa

We compare the effects of timelike, lightlike and spacelike one-dimensional inhomogeneities on the probability of nonperturbative pair production in strong fields. Using interpolating coordinates we give a unifying picture in which the…

High Energy Physics - Theory · Physics 2015-09-09 Anton Ilderton , Greger Torgrimsson , Jonatan Wårdh

We report on an instanton-based analysis of the gluon Green functions in the Landau gauge for low momenta; in particular we use lattice results for $\alpha_s$ in the symmetric momentum subtraction scheme (${\rm MOM}$) for large-volume…

High Energy Physics - Lattice · Physics 2018-04-18 Andreas Athenodorou , Philippe Boucaud , Feliciano de Soto , José Rodríguez-Quintero , Savvas Zafeiropoulos

We calculate the spatial correlation function and momentum distribution of a phase-fluctuating, elongated three-dimensional condensate, in a trap and in free expansion. We take the inhomogeneous density profile into account {\it{via}} a…

Condensed Matter · Physics 2009-11-07 F. Gerbier , J. H. Thywissen , S. Richard , M. Hugbart , P. Bouyer , A. Aspect

This project aims to give indications to find monopole and instanton effects in QCD on the observables by experiments. First, we add the monopole and anti-monopole to the QCD vacuum of the quenched SU(3) and calculate the physical…

High Energy Physics - Lattice · Physics 2022-04-01 Masayasu Hasegawa
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