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Related papers: Instantons and Monopoles for Nonperturbative QCD

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We consider (1+1)-dimensional QCD coupled to scalars in the adjoint representation of the gauge group SU($N$). This model results from dimensional reduction of the (2+1)-dimensional pure glue theory. In the large-N limit we study the…

High Energy Physics - Theory · Physics 2009-10-22 Krešimir Demeterfi , Igor R. Klebanov , Gyan Bhanot

Instantons play a crucial role in understanding non-perturbative dynamics in quantum field theories, including those with spontaneously broken gauge symmetries. In the broken phase, finite-size instanton-like configurations are no longer…

High Energy Physics - Theory · Physics 2026-04-06 Takafumi Aoki , Masahiro Ibe , Satoshi Shirai

We extend our previous study of magnetic monopole currents in the maximally Abelian gauge [hep-lat/9712003] to larger lattices at small lattice spacings (20^4 at beta = 2.5 and 32^4 at beta = 2.5115). We confirm that at these weak couplings…

High Energy Physics - Lattice · Physics 2009-10-31 A. Hart , M. Teper

It is argued that the ground state of three- and four-colour QCD contains a monopole condensate, necessary for the dual Meissner effect to be the mechanism of confinement, and support its stability on the grounds that it gives the…

High Energy Physics - Theory · Physics 2010-10-27 M. L. Walker

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

We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons''. These worldline instantons are classical solutions to the Euclidean worldline loop equations…

High Energy Physics - Theory · Physics 2009-11-11 Gerald V. Dunne , Christian Schubert

In this paper, we study the 't Hooft type instantons in eight dimensions, which satisfy the (anti)self-dual equations $F\wedge F=\pm\ast_8F\wedge F$. Using various designs of such instantons, we find new soliton solutions to the low-energy…

High Energy Physics - Theory · Physics 2021-11-09 E. K. Loginov

We present an update on the study of topological structure of QCD. Issues addressed include a comparison between the plaquette and the geometric methods of calculating the topological density. We show that the improved gauge action based on…

High Energy Physics - Lattice · Physics 2009-10-28 Jeffrey Grandy , Rajan Gupta

We discuss the Bosonic sector of a class of supersymmetric non-Lorentzian five-dimensional gauge field theories with an $SU(1,3)$ conformal symmetry. These actions have a Lagrange multiplier which imposes a novel $\Omega$-deformed…

High Energy Physics - Theory · Physics 2022-02-21 Neil Lambert , Arthur Lipstein , Rishi Mouland , Paul Richmond

Gluon two- and three-point Green Functions computed in Landau gauge from the lattice show the existence of power corrections to the purely perturbative expressions, that can be explained through an Operator Product Expansion as the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , J. P. Leroy , A. Le Yaouanc , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

We derive, from first principles, the complete Luttinger liquid theory of abelian quantum Hall edge states. This theory includes the effects of disorder and Coulomb interactions as well as the coupling to external electromagnetic fields. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 B. Skoric , A. M. M. Pruisken

We explore an ansatz for the QCD vacuum in the Coulomb gauge that describes gauge field fluctuations in presence of a weakly interacting gas of abelian monopoles. Such magnetic disorder leads to long-range correlations which are manifested…

High Energy Physics - Phenomenology · Physics 2010-05-28 Adam P. Szczepaniak , Hrayr H. Matevosyan

We study the surface tensions in the mixed phase of QCD in the dual Ginzburg-Landau theory, where the QCD-monopole condensate is the order parameter on the confinement. First, we consider the thermal mixed phase, and derive the analytical…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Monden , H. Suganuma , H. Ichie , H. Toki

It is very plausible that confinement in QCD comes from linking of Wilson loops to finite-thickness vortices with magnetic fluxes corresponding to the center of the gauge group. The vortices are solitons of a gauge-invariant QCD action…

High Energy Physics - Theory · Physics 2009-10-31 John M. Cornwall

In this paper we obtain a family of analytic solutions to the nonlinear partial differential equations that describe the dynamics of the bosonic part of the mass operator of a M2-brane compactified on $M_9\times T^2$ in the LCG with…

High Energy Physics - Theory · Physics 2024-03-05 Pedro García , Maria Pilar Garcia del Moral , Joselen M. Peña , Reginaldo Prado-Fuentes

We show that non-perturbative entities such as solitons and instantons saturate bounds on entropy when the theory saturates unitarity. Simultaneously, the entropy becomes equal to the area of the soliton/instanton. This is strikingly…

High Energy Physics - Theory · Physics 2019-07-18 Gia Dvali

Performing highly precise Monte-Carlo simulations of SU(2) gluodynamics, we observe for the first time Abelian dominance in the confining part of the static potential in local unitary gauges such as the F12 gauge. We also study the…

High Energy Physics - Lattice · Physics 2008-11-26 Toru Sekido , Katsuya Ishiguro , Yoshiaki Koma , Yoshihiro Mori , Tsuneo Suzuki

We (try to) pedagogically explain how monopoles arise in QCD, why maximal Abelian(MA) gauge is ``special'' for monopole study, the Abelian projection in MA gauge, its resultant degrees of freedom(photons, monopoles and charged matter…

High Energy Physics - Phenomenology · Physics 2011-04-15 Ken Yee

We point out that there exists a generalization of instanton symmmetry in the Coulomb phase of 5d nonabelian gauge theories which is capable of measuring a wider class of topological charges of monopole strings. The symmetry is invertible…

High Energy Physics - Theory · Physics 2025-10-29 Aiden Sheckler

Three topics of monopole dynamics in gluodynamics are presented. 1)Gauge (in)dependence of the monopole effective action (S.Ito, T.W.Park, T.Suzuki): Four different abelian projections are studied. MA and Laplacian abelian gauges show…

High Energy Physics - Lattice · Physics 2007-05-23 T. Suzuki , Y. Koma , S. Ito , E. -M. Ilgenfritz , T. W. Park , M. I. Polikarpov , T. Yazawa