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We construct periodic monopoles (with singularities), i.e. monopoles on $\mathbb{R}^{2} \times \mathbb{S}^{1}$ possibly singular at a finite collection of points, by gluing methods.

Differential Geometry · Mathematics 2017-03-27 Lorenzo Foscolo

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

We present the results of an explicit numerical computation of a novel instanton in Georgi-Glashow SU(2) theory. The instanton is physically relevant as a mediator of Schwinger production of 't Hooft-Polyakov magnetic monopoles from strong…

High Energy Physics - Theory · Physics 2021-07-07 David L. -J. Ho , Arttu Rajantie

Recent results applying resurgence theory to finite-temperature field theories yield a detailed analytic structure determined by topological excitations. We examine finite-temperature SU(N) lattice gauge theories in light of these results.…

High Energy Physics - Lattice · Physics 2014-11-20 Michael Ogilvie , Peter Meisinger

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

We investigated a behavior of monopole currents in the high temperature phase of abelian projected finite temperature SU(2) QCD in maximally abelian gauge. Wrapped monopole currents which are closed by periodic boundary play an important…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri

Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding of these…

High Energy Physics - Theory · Physics 2009-11-07 Conor J. Houghton , Erick J. Weinberg

We construct multimonopole solutions containing N-1 distinct fundamental monopoles in SU(N) gauge theory. When the gauge symmetry is spontaneously broken to U(1)^{N-1}, the monopoles are all massive, and we show that the fields can be…

High Energy Physics - Theory · Physics 2016-08-25 Erick J. Weinberg , Piljin Yi

With the help of the cooling method applied to SU(2) lattice gauge theory at non-zero $T \le T_c$ we present numerical evidence for the existence of superpositions of Kraan-van Baal caloron (or BPS monopole pair) solutions with non-trivial…

High Energy Physics - Lattice · Physics 2009-11-07 E. -M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker , S. Shcheredin , A. I. Veselov

There has been substantial progress in understanding a class of SU(N) gauge theories that are confining at high temperatures. This class includes theories with center-symmetric Polyakov loop deformations or with periodic adjoint fermions.…

High Energy Physics - Lattice · Physics 2012-11-07 Michael Ogilvie

A numerical study of static spherically symmetric monople solutions of a spontaneously broken SU(2) gauge theory coupled to a dilaton field is presented. Regular solutions seem to exist only up to a maximal value of the dilaton coupling. In…

High Energy Physics - Theory · Physics 2010-11-19 Peter Forgacs , Jozsef Gyurusi

We propose a topological soliton or instanton solution with nonzero Hopf invariant to the 3+1D non-Abelian gauge theory coupled with scalar fields. This solution, which we call Hopf soliton, represents a spacetime event that makes a $2\pi$…

Mathematical Physics · Physics 2015-06-19 Yan He , Hao Guo

We investigate the monopole-instanton correlation in SU(2) lattice gauge theory using a renormalisation group inspired smoothing technique. We look at the properties of monopole clusters and their correlation with instantons. Since the…

High Energy Physics - Lattice · Physics 2009-10-31 Tamas G. Kovacs , Zsolt Schram

The correlation between instantons and QCD-monopoles is studied both in the lattice gauge theory and in the continuum theory. From a simple topological consideration, instantons are expected to live only around the QCD-monopole trajectory…

High Energy Physics - Phenomenology · Physics 2008-02-03 H. Suganuma , K. Itakura , H. Toki , O. Miyamura

Using a renormalization group motivated smoothing technique, we investigate the large scale structure of lattice configurations at finite temperature, concentrating on Abelian monopoles identified in the maximally Abelian, the Laplacian…

High Energy Physics - Lattice · Physics 2007-05-23 S. Thurner , H. Markum , E. -M. Ilgenfritz , M. Müller-Preussker

As an approach to describe the long-range properties of non-Abelian gauge theories at non-zero temperature T < T_c, we consider a non-interacting ensemble of dyons (magnetic monopoles) with non-trivial holonomy. We show analytically, that…

High Energy Physics - Phenomenology · Physics 2012-02-16 Falk Bruckmann , Simon Dinter , Ernst-Michael Ilgenfritz , Benjamin Maier , Michael Muller-Preussker , Marc Wagner

Non-Abelian BPS vortex solutions are constructed in N=2 theories with gauge groups SO(N)\times U(1). The model has N_f flavors of chiral multiplets in the vector representation of SO(N), and we consider a color-flavor locked vacuum in which…

High Energy Physics - Theory · Physics 2008-11-26 Luca Ferretti , Sven Bjarke Gudnason , Kenichi Konishi

Finite temperature SU(2) lattice gauge theory is investigated in a 3D cubic box with fixed boundary conditions (b.c.) provided by a discretized, static BPS monopole solution with varying core scale ${\mu}$. For discrete ${\mu}$-values we…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , S. V. Molodtsov , M. Müller-Preussker , A. I. Veselov

We show that the BPS configurations of uniform field strength can be interpreted as those for sheets of infinite number of BPS magnetic monopoles, and found that the number of normalizable zero modes per each magnetic monopole charge is…

High Energy Physics - Theory · Physics 2009-10-31 Kimyeong Lee

We examine the low-energy dynamics of four-dimensional supersymmetric gauge theories and calculate the values of the gluino condensate for all simple gauge groups. By initially compactifying the theory on a cylinder we are able to perform…

High Energy Physics - Theory · Physics 2010-11-19 N. Michael Davies , Timothy J. Hollowood , Valentin V. Khoze