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We describe the explicit construction of Yang-Mills instantons on ALE spaces, following the work of Kronheimer and Nakajima. For multicenter ALE metrics, we determine the abelian instanton connections which are needed for the construction…

High Energy Physics - Theory · Physics 2016-09-06 Massimo Bianchi , Francesco Fucito , Maurizio Martellini , Giancarlo Rossi

We find exact multi-instanton solutions to the selfdual Yang-Mills equation on a large class of curved spaces with $SO(3)$ isometry, generalizing the results previously found on $\mathbb{R}^4$. The solutions are featured with explicit…

High Energy Physics - Theory · Physics 2021-07-02 Jun Nian , Yachao Qian

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

We investigate Yang-Mills instantons on a 7-dimensional manifold of G_2 holonomy. By proposing a spherically symmetric ansatz for the Yang-Mills connection, we have ordinary differential equations as the reduced instanton equation, and give…

High Energy Physics - Theory · Physics 2010-11-19 S. Miyagi

A continuum of monopole, dyon and black hole solutions exist in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. Their structure is studied in detail. The solutions are classified by non-Abelian electric and magnetic…

High Energy Physics - Theory · Physics 2008-11-26 J. Bjoraker , Y. Hosotani

Field strength formulated Yang-Mills theory is confronted with the traditional formulation in terms of gauge fields. It is shown that both formulations yield the same semiclassics, in particular the same instanton physics. However, at the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Langfeld , H. Reinhardt

We consider 't Hooft-Polyakov monopole (TPM) as a topological soliton in the 5-dimensional (5D) theory of gauge-Higgs unification. This scenario provides a very natural framework to incorporate the TPM, since the adjoint scalar is builtin…

High Energy Physics - Phenomenology · Physics 2020-08-26 K. Hasegawa , C. S. Lim

We investigate the Maximally Abelian (MA) Projection for a single $SU(2)$ instanton in continuum gauge theory. We find that there is a class of solutions to the differential MA gauge condition with circular monopole loops of radius $R$…

High Energy Physics - Lattice · Physics 2009-10-28 R. C. Brower , K. N. Orginos , C-I Tan

In this paper we explicitly calculate the analogue of the 't Hooft SU(2) Yang--Mills instantons on Gibbons--Hawking multi-centered gravitational instantons which come in two parallel families: the multi-Eguchi--Hanson, or A_k ALE…

High Energy Physics - Theory · Physics 2009-11-07 Gabor Etesi , Tamas Hausel

We study how instantons arise in the low energy effective theory of the SU(2) Yang-Mills theory in the context of the non-linear sigma model recently propose by Faddeev and Niemi. We find a simple relation between the instanton number $\nu$…

High Energy Physics - Theory · Physics 2009-10-31 Toyohiro Tsurumaru , Izumi Tsutsui , Akira Fujii

The simplest and the most straightforward new algorithm for generating solutions to (anti) self-dual Yang-Mills (YM) equation in the typical gravitational instanton backgrounds is proposed. When applied to the Taub-NUT and the Eguchi-Hanson…

High Energy Physics - Theory · Physics 2009-10-31 Hongsu Kim , Yongsung Yoon

Our goal is to discover possible new 4-dimensional euclidean solutions (instantons) in fundamental SU(2) Yang-Mills-Higgs theory, with a constraint added to prevent collapse of the scale. We show that, most likely, there exists one…

High Energy Physics - Phenomenology · Physics 2009-10-22 F. R. Klinkhamer

Correlation between instantons and QCD-monopoles is studied in the abelian-gauge-fixed QCD. From a simple topological consideration, instantons are expected to appear only around the QCD-monopole trajectory in the abelian-dominating system.…

High Energy Physics - Theory · Physics 2008-02-03 H. Suganuma , K. Itakura , H. Toki

We study the relation between instantons and monopoles in the abelian gauge. First, we investigate the monopole in the multi-instanton solution in the continuum Yang-Mills theory using the Polyakov gauge. At a large instanton density, the…

High Energy Physics - Lattice · Physics 2009-10-28 H. Suganuma , S. Sasaki , H. Ichie , F. Araki , O. Miyamura

We consider the interaction between instantons and anti-instantons in four-dimensional N=4 super-Yang-Mills theory at large N and large 't Hooft coupling as described by D-instantons via AdS/CFT duality. We give an estimate of the strength…

High Energy Physics - Theory · Physics 2009-10-31 J. L. F. Barbon , A. Pasquinucci

Monopole-like objects have been identified in multiple lattice studies, and there is now a significant amount of literature on their importance in phenomenology. Some analytic indications of their role, however, are still missing. The 't…

High Energy Physics - Phenomenology · Physics 2018-07-04 Adith Ramamurti , Edward Shuryak , Ismail Zahed

Non-abelian gauge theories can be cast into abelian gauge theories with monopoles. We ask what becomes of the instantons after abelian projection. Instantons are found to consist of closed dyon loops. It is shown that the electric charge of…

High Energy Physics - Lattice · Physics 2009-10-28 V. Bornyakov , G. Schierholz

Multi-instanton solutions in the eight and seven dimensional Yang-Mills fields theory is obtained. Extended-soliton solutions to the low-energy heterotic-field-theory equations of motion is constructed from this higher-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 E. K. Loginov

We discuss duality between the linear and chiral dilaton formulations, in the presence of super-Yang-Mills instanton corrections to the effective action. In contrast to previous work on the subject, our approach appeals directly to explicit…

High Energy Physics - Theory · Physics 2009-11-10 Joel Giedt , Brent D. Nelson

A self-consistent ansatz is presented for a four-dimensional euclidean solution (instanton) in the vacuum sector of constrained SU(2) Yang-Mills-Higgs theory.

High Energy Physics - Phenomenology · Physics 2015-06-25 F. R. Klinkhamer , J. Weller