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It is shown that the field strength formulated Yang-Mills theory yields the same semiclassics as the standard formulation in terms of the gauge potential. This concerns the classical instanton solutions as well as the quantum fluctuations…

High Energy Physics - Phenomenology · Physics 2010-11-01 H. Reinhardt , K. Langfeld , L. v. Smekal

The generation of gauge--dependent fermion vacuum condensates in Yang--Mills theory would dynamically break the gauge symmetry and thus provide an alternative to the Higgs mechanism in unified theories. We explore a simple example:…

High Energy Physics - Phenomenology · Physics 2010-12-16 Dmitri Diakonov , Hilmar Forkel , Matthias Lutz

We suggest a constrained instanton (CI) solution in the physical QCD vacuum which is described by large-scale vacuum field fluctuations. This solution decays exponentially at large distances. It is stable only if the interaction of the…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. E. Dorokhov , S. V. Esaibegyan , A. E. Maximov , S. V. Mikhailov

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

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

Field strength correlators are semi-classically evaluated in the dilute gas model of non-Abelian sources (instantons) and compared with lattice data for QCD at zero temperature. We show that one of the Euclidean invariant, tensorial…

High Energy Physics - Phenomenology · Physics 2009-10-30 E. -M. Ilgenfritz , B. V. Martemyanov , S. V. Molodtsov , M. Müller--Preussker , Yu. A. Simonov

The field strength correlators at zero temperature are semi-classically evaluated fitting the random instanton liquid model to lattice data for quenched SU(3) lattice gauge theory. We restrict ourselves to the lowest order in an instanton…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. -M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker

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

Instantons create a non-local interaction between the quarks, which at finite baryon density leads to the formation of a scalar diquark condensate and color superconductivity. A mean field approach leads to a self-consistent description of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Momchil Velkovsky

We construct improved QCD sum rules for the nucleon magnetic moments by implementing direct-instanton contributions to the operator product expansion of the nucleon correlator in a magnetic background field. The instanton contributions are…

High Energy Physics - Phenomenology · Physics 2017-08-23 Hilmar Forkel

We consider instanton contributions to chiral correlators, such as <0| Tr \lambda^2 (x) Tr \lambda^2(x') |0>, in N=1 supersymmetric Yang-Mills theory with either light adjoint or fundamental matter. Within the former model, extraction of…

High Energy Physics - Theory · Physics 2015-06-26 Adam Ritz , Arkady Vainshtein

N=1^* gauge theories are believed to have fractional instanton contributions in the confining vacua. D3 brane probe computations in gravitation dual of large-N N=2^* gauge theories point to the absence of such contributions in the low…

High Energy Physics - Theory · Physics 2009-11-07 Alex Buchel

The binary interaction of large size instantons in a SU(2) Yang-Mills theory is obtained from the one-loop effective action for the field strength. The instanton interaction is calculated as a function of the instanton separation and in…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Langfeld , H. Reinhardt

We show that $QCD_2$ with adjoint fermions involves instantons due to nontrivial $\pi_1[SU(N)/Z_N]~=~Z_N$. At high temperatures, quasiclassical approximation works and the action and the form of effective (with account of quantum…

High Energy Physics - Theory · Physics 2009-09-25 A. V. Smilga

We study self-dual SU(N) gauge field configurations on the 4 torus with twisted boundary conditions, known as fractional instantons. Focusing on the minimum non-zero action case, we generalize the constant field strength solutions…

High Energy Physics - Theory · Physics 2020-03-18 Antonio González-Arroyo

We briefly report on the contribution of QCD-instantons to the phenomenon of saturation in deep-inelastic scattering (DIS) at small Bjorken-x. The explicitly known instanton gauge field serves as a concrete realization of an underlying…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. Schrempp , A. Utermann

A previous analysis of possible constraints of Yang-Mills instantons in the presence of spontaneous symmetry breaking is extended to supersymmetric QCD. It is again found that a constraint is necessary for the gauge field in second and…

High Energy Physics - Theory · Physics 2007-05-23 P. M. Glerfoss , J. Hylsberg , N. K. Nielsen

Using the renormalization group motivated smoothing technique we study the semiclassical structure of the pure Yang-Mills vacuum. We carefully check that identified clusters of topological charge behave like instantons around their centers.…

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

The results obtained by Seiberg and Witten for the low-energy Wilsonian effective actions of N=2 supersymmetric theories with gauge group SU(2) are in agreement with instanton computations carried out for winding numbers one and two. This…

High Energy Physics - Theory · Physics 2009-10-31 Diego Bellisai , Francesco Fucito , Alessandro Tanzini , Gabriele Travaglini

This talk is a review of our studies of instantons and their properties as seen in our lattice simulations of SU(2) gauge theory. We have measured the topological susceptibility and the size distribution of instantons in the QCD vacuum. We…

High Energy Physics - Lattice · Physics 2016-09-01 T. DeGrand , Anna Hasenfratz , Tamas Kovacs
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