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The effects of instantons close to the cut-off is studied in four dimensional SU(2) gauge theory with higher order derivative terms in the action. It is found in the framework of the dilute instanton gas approximation that the convergence…

High Energy Physics - Theory · Physics 2007-05-23 Vincenzo Branchina , Janos Polonyi

The instanton vacuum picture is used to study hadronic matrix elements of the twist-3 (dimension-4, spin-1) QCD operators measuring the quark spin density and spin-orbit correlations. The QCD operators are converted to effective operators…

High Energy Physics - Phenomenology · Physics 2023-10-27 June-Young Kim , Christian Weiss

We summarize our current understanding of instantons in the large N_c limit of QCD. We also present some recent results from simulations of the instanton liquid in QCD for N_c>3.

High Energy Physics - Phenomenology · Physics 2017-08-23 Thomas Schaefer

For a generic many-body system, we define a soft point-to-set correlation function. We then show that this function accepts a representation in terms of an effective overlap field theory. In particular, instantons in this effective field…

Disordered Systems and Neural Networks · Physics 2013-12-02 Sho Yaida

Canonical instanton theory is a widespread approach to describe the dynamics of chemical reactions in low temperature environments when tunneling effects become dominant. It is a semiclassical theory which requires locating classical…

Chemical Physics · Physics 2020-09-15 Andreas Löhle , Johannes Kästner

For the one-loop contribution to the QCD vacuum tunneling amplitude by quarks of generic mass value, we make use of a calculational scheme exploiting a large mass expansion together with a small mass expansion. The large mass expansion for…

High Energy Physics - Phenomenology · Physics 2009-10-31 O-Kab Kwon , Choonkyu Lee , Hyunsoo Min

We consider the multi-instanton collective coordinate integration measure in N=2 supersymmetric SU(N) gauge theory with N_F fundamental hypermultiplets. In the large-N limit, at the superconformal point where N_F=2N and all VEVs are turned…

High Energy Physics - Theory · Physics 2009-10-31 Timothy J. Hollowood , Valentin V. Khoze , Michael P. Mattis

We analyze the instanton transitions in the framework of the gauge invariant variational calculation in the pure Yang-Mills theory. Instantons are identified with the saddle points in the integration over the gauge group which projects the…

High Energy Physics - Phenomenology · Physics 2016-08-25 William E. Brown , Juan P. Garrahan , Ian I. Kogan , Alex Kovner

QCD point-to-point correlation functions at distances .2-1 fm are very different for different channels, and they tell us a lot about inter-quark interactions. Recent studies based on experimental data, 'instanton liquid' approach and…

High Energy Physics - Lattice · Physics 2009-10-22 E. Shuryak

I review the standard instanton framework for determining the $\theta$-dependence of instanton-dominated correlation functions in QCD. I then contrast these well-established semiclassical results with the recent assertion of [1,2], that…

High Energy Physics - Phenomenology · Physics 2026-01-16 Valentin V. Khoze

We investigate the distribution of instanton sizes in the framework of a simplified model for ensembles of instantons. This model takes into account the non-diluteness of instantons. The infrared problem for the integration over instanton…

High Energy Physics - Theory · Physics 2010-12-23 Gernot Münster , Christel Kamp

We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons''. These worldline instantons are classical solutions to the Euclidean worldline loop equations…

High Energy Physics - Theory · Physics 2009-11-11 Gerald V. Dunne , Christian Schubert

Small size QCD instantons may spoil the axion solution to the strong CP problem if QCD is not asymptotically free at high energy scales. We examine this issue in supersymmetric models using a manifestly supersymmetric scheme to compute the…

High Energy Physics - Phenomenology · Physics 2009-12-30 Kiwoon Choi , Hyungdo Kim

An introduction to the instanton formalism in supersymmetric gauge theories is given. We explain how the instanton calculations, in conjunction with analyticity in chiral parameters and other general properties following from supersymmetry,…

High Energy Physics - Theory · Physics 2007-05-23 Mikhail Shifman , Arkady Vainshtein

We study the electro-magnetic form factors of the nucleon, from small to large momentum transfer, in the context of the Instanton Liquid Model (ILM). As a first step, we analyze the role of single-instanton effects, and show that they…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. Faccioli

The influence of nonperturbative fields on instantons in quantum chromodynamics is studied. Effective action for instanton is derived in bilocal approximation and it is demonstrated that stochastic background gluon fields are responsible…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. O. Agasian , S. M. Fedorov

Surface integral equation (SIE) methods are of great interest for the efficient electromagnetic modeling of various devices, from integrated circuits to antenna arrays. Existing acceleration algorithms for SIEs, such as the adaptive…

Computational Engineering, Finance, and Science · Computer Science 2021-07-13 Shashwat Sharma , Piero Triverio

It is shown in a systematic way that the instanton dilute model can be combined with the global colour symmetry model to form a new nonperturbative QCD model. Based on the quark propagator derived in the instanton dilute liquid…

High Energy Physics - Phenomenology · Physics 2016-08-16 Hongshi Zong , Xiaohua Wu , Xiaofu Lü , Chaohsi Chang , Engang Zhao

The instanton--antiinstanton pair induced asymptotics of perturbation theory expansion for QCD correlators is considered. It is argued that though the true asymptotics is dominated by renormalon, the instanton-induced contribution may…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. G. Silvestrov

We present a simple set of power counting rules which allows us to easily estimate calculable instanton effects up to $O(1)$ factors. We apply the resulting Instanton NDA to examine the effects of small instantons on various axion models.…

High Energy Physics - Phenomenology · Physics 2024-05-02 Csaba Csáki , Raffaele Tito D'Agnolo , Eric Kuflik , Maximilian Ruhdorfer