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We compute instanton sizes and study correlation functions between instantons and monopoles in maximum abelian projection within SU(2) lattice QCD at finite temperature. We compare several definitions of the topological charge, different…

High Energy Physics - Lattice · Physics 2009-10-30 M. Feurstein , H. Markum , S. Thurner

We perform a detailed study of the existence and the properties of O(4)-invariant instanton solutions in Einstein-scalar theory in the presence of flat potential barriers, i.e. barriers where the second derivative of the potential is small…

High Energy Physics - Theory · Physics 2013-11-19 Lorenzo Battarra , George Lavrelashvili , Jean-Luc Lehners

In this paper, we show the existence of magnetic monopoles in the pure $SU(2)$ Yang--Mills theory even in absence of scalar fields when the gauge-invariant mass term is introduced. This result follows from the recent proposal for obtaining…

High Energy Physics - Theory · Physics 2019-12-06 Shogo Nishino , Ryutaro Matsudo , Matthias Warschinke , Kei-Ichi Kondo

This article investigates a set of partial differential equations, the DT-instanton equations, whose solutions can be regarded as a generalization of the notion of Hermitian-Yang-Mills connections. These equations owe their name to the hope…

Differential Geometry · Mathematics 2021-11-03 Gavin Ball , Goncalo Oliveira

The properties of periodic instanton solutions of the classical SU(2) gauge theory with a Higgs doublet field are described analytically at low energies, and found numerically for all energies up to and beyond the sphaleron energy.…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Bonini , S. Habib , E. Mottola , C. Rebbi , R. Singleton , P. Tinyakov

We present an asymptotically flat, spherically symmetric, static, globally regular and horizonless solution of SU$(2)$-gauged $\mathcal{N}=1,d=5$ supergravity. The SU$(2)$ gauge field is that of the BPST instanton. We argue that this…

High Energy Physics - Theory · Physics 2017-08-02 Pablo A. Cano , Tomas Ortin , Pedro F. Ramirez

Small instantons can play an important role in Yang-Mills theories whose gauge couplings are sizeable at small distances. An interesting class of theories where this could occur is in weakly-gauged holographic models (dual to Yang-Mills…

High Energy Physics - Theory · Physics 2021-12-08 Tony Gherghetta , Alex Pomarol

Nontrivial topological structures of non-Abelian gauge fields were discovered in the 1970's. Instanton solutions, describing vacuum tunneling through topological barriers, have fermionic zero modes which are at the origin of $^\prime$t…

High Energy Physics - Phenomenology · Physics 2022-03-31 Edward Shuryak , Ismail Zahed

The possible transition of large mass magnetic monopole solutions to monopole black hole solutions in Yang-Mills-Higgs theory with spontaneous symmetry breaking (SSB) coupled to the low energy effective theory of superstring with only…

General Physics · Physics 2019-06-03 Hongsu Kim

Exact solutions of the Klein-Gordon equation in an external non-Abelian gauge field with an SU(N) symmetry group have been obtained. The external field is a solution of the Yang-Mills equations and describes a plane wave on the light cone.…

High Energy Physics - Theory · Physics 2025-09-30 V. V. Parazian

We calculate the Faddeev-Popov operator corresponding to the maximally Abelian gauge for gauge group SU(N). Specializing to SU(2) we look for explicit zero modes of this operator. Within an illuminating toy model (Yang-Mills mechanics) the…

High Energy Physics - Theory · Physics 2009-10-31 F. Bruckmann , T. Heinzl , T. Tok , A. Wipf

Three dimensional Euclidean gravity in the dreibein-spin connection formalism is investigated. We use the monopole-instanton ansatz for the dreibein and the spin connection. The equations of motion are solved. We point out a two dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Bayram Tekin

The covariantly constant gauge fields are solutions of the sourceless Yang-Mills equation and represent the classical vacuum fields. We found that the moduli space of covariantly constant gauge fields is much larger than the space of…

High Energy Physics - Theory · Physics 2024-02-08 George Savvidy

I develop a formalism for solving topological field theories explicitly, in the case when the explicit expression of the instantons is known. I solve topological Yang-Mills theory with the $k=1$ Belavin {\sl et al.} instanton and…

High Energy Physics - Theory · Physics 2009-10-28 Damiano Anselmi

We study the instanton effective action of four-dimensional deformed N=4 supersymmetric Yang-Mills theory in the presence of constant, self-dual Ramond-Ramond (R-R) 3-form background in type IIB superstring theory. We compare the instanton…

High Energy Physics - Theory · Physics 2009-11-19 Katsushi Ito , Hiroaki Nakajima , Takuya Saka , Shin Sasaki

The confinement mechanism in the nonperturbative QCD is studied in terms of topological excitation as QCD-monopoles and instantons. In the 't Hooft abelian gauge, QCD is reduced into an abelian gauge theory with monopoles, and the QCD…

High Energy Physics - Lattice · Physics 2009-10-30 Hideo Suganuma , Masahiro Fukushima , Hiroko Ichie , Atsunori Tanaka

We present arguments for the existence of self-dual Yang-Mills instantons for several spherically symmetric backgrounds with Euclidean signature. The time-independent Yang-Mills field has finite action and a vanishing energy momentum tensor…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Eugen Radu

We obtain new intersecting 5-brane, string and pp-wave solutions in the heterotic string on a torus and on a K3 manifold. In the former case the 5-brane is supported by Yang-Mills instantons, and in the latter case both the 5-brane and the…

High Energy Physics - Theory · Physics 2009-10-07 E. Lima , H. Lu , B. A. Ovrut , C. N. Pope

Instanton processes are present in a variety of quantum field theories relevant to high energy as well as condensed matter physics. While they have led to important theoretical insights and physical applications, their underlying features…

High Energy Physics - Theory · Physics 2021-05-05 Sebastian Schenk , Michael Spannowsky

We study instanton effects along the Coulomb branch of an N=2 supersymmetric Yang-Mills theory with gauge group SU(2) on Asymptotically Locally Euclidean (ALE) spaces. We focus our attention on an Eguchi-Hanson gravitational background and…

High Energy Physics - Theory · Physics 2009-10-30 D. Bellisai , G. Travaglini