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We calculate the leading weak-coupling instanton contribution to the moduli-space metric of N=2 supersymmetric Yang-Mills theory with gauge group SU(2) compactified on R^3 x S^1. The results are in precise agreement with the semiclassical…

High Energy Physics - Theory · Physics 2012-03-06 Heng-Yu Chen , Nick Dorey , Kirill Petunin

The quantum of action $\hbar$, multiplying in certain powers perturbative vertices in 4D gauge theory, is related to the action of just-not-resolved selfdual and thermal gauge field configurations, calorons and anticalorons, of charge…

General Physics · Physics 2012-11-09 Ralf Hofmann , Dariush Kaviani

We consider the Hermitian Yang-Mills (instanton) equations for connections on vector bundles over a 2n-dimensional K\"ahler manifold X which is a product Y x Z of p- and q-dimensional Riemannian manifold Y and Z with p+q=2n. We show that in…

High Energy Physics - Theory · Physics 2015-06-23 Andreas Deser , Olaf Lechtenfeld , Alexander D. Popov

We consider SU(2) Yang-Mills theory in 1+1 dimensions coupled to massless adjoint fermions. With all fields in the adjoint representation the gauge group is actually SU(2)/Z_2, which possesses nontrivial topology. In particular, there are…

High Energy Physics - Theory · Physics 2009-10-30 S. Pinsky

Instantons in pure Yang-Mills theories on partially periodic space $\mathbb{R}^3\times S^1$ are usually called calorons. The background periodicity brings on characteristic features of calorons such as non-trivial holonomy, which plays an…

High Energy Physics - Theory · Physics 2018-07-04 T. Kato , A. Nakamula , K. Takesue

It is shown that the contribution of the instantons to the fragmentation of quarks leads to the appearance of a imaginary part in diagrams of quark-quark scattering at large transfer momentum. The imaginary part comes from the analytical…

High Energy Physics - Phenomenology · Physics 2011-04-15 N. I. Kochelev

In this paper a quantum N = 4 super Yang-Mills theory perturbed by dilaton-coupled scalars and spinor fields is considered. The induced effective action for such a theory is calculated on a dilaton-gravitational background using the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Iver Brevik , John Quiroga Hurtado

We present a construction of self-dual Yang-Mills connections on the Taub-NUT space. We illustrate it by finding explicit expressions for all SU(2) instantons of instanton number one and generic monodromy at infinity.

High Energy Physics - Theory · Physics 2011-01-03 Sergey A. Cherkis

The non-perturbative behavior of the N=2 supersymmetric Yang-Mills theories is both highly non-trivial and tractable. In the last three years the valuable progress was achieved in the instanton counting, the direct evaluation of the…

High Energy Physics - Theory · Physics 2008-12-19 Sergey Shadchin

By superposition of regular gauge instantons or merons, ensembles of gauge fields are constructed which describe the confining phase of SU(2) Yang-Mills theory. Various properties of the Wilson loops, the gluon condensate and the…

High Energy Physics - Phenomenology · Physics 2010-02-16 F. Lenz

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

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

We study IR-renormalon divergences in N=1 supersymmetric Yang Mills gauge theories and in two dimensional non linear sigma models with mass gap. We derive, in both types of theories, a direct connection between IR- renormalons and…

High Energy Physics - Theory · Physics 2007-05-23 Cesar Gomez

Scaling behavior in the moduli space of monopole and dyon solutions in the Einstein-Yang-Mills theory in the asymptotically anti-de Sitter space is derived. The mass of monopoles and dyons scales with respect to their magnetic and electric…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yutaka Hosotani

We construct the n-instanton action for the above model with gauge group SU(2), as a function of the collective coordinates of the general self-dual configurations of Atiyah, Drinfeld, Hitchin and Manin (ADHM). We calculate the quantum…

High Energy Physics - Theory · Physics 2009-10-30 N. Dorey , V. V. Khoze , M. P. Mattis

We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables. These variables are appropriate for describing the theory in its infrared limit, and indicate that it admits knotlike configurations as stable solitons. As a…

High Energy Physics - Theory · Physics 2009-10-31 Ludvig Faddeev , Antti J. Niemi

The interaction between the hyperon and the nucleon is investigated in the SU(3) Skyrme model. The static potential, which is expanded in terms of the modified SU(3) rotation matrices, is obtained for several orientations with the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hideyuki Abe

Instantaneous interactions in Standard Model are derived by the resolution of the Gauss constraints in inertial reference frames defined as irreducible representations of the Poincare group. The relativistic covariant and gauge-invariant…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Z. Dubnickova , S. Dubnicka , V. N. Pervushin , M. Secansky

We consider non-perturbative effects in the beta-deformed N=4 supersymmetric gauge theory in the context of the AdS/CFT correspondence. We concentrate on the correlators of the Yang-Mills operators which correspond to the lowest…

High Energy Physics - Theory · Physics 2009-11-11 George Georgiou , Valentin V. Khoze

A remarkable feature of the models with interactions exhibiting higher-spin (HS) gauge symmetries in $d>2$ is that their most symmetric vacua require (anti)-de Sitter (AdS) geometry rather than the flat one. In striking parallelism to what…

High Energy Physics - Theory · Physics 2011-08-03 Sergey Prokushkin , Mikhail Vasiliev