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In the framework of the Instanton Liquid Model we evaluate the heavy quark $\bar{Q}Q$ potential at nonzero temperature $T$. The potential has two components: contribution due to direct interaction with instantons, and the modification of…

High Energy Physics - Phenomenology · Physics 2018-10-12 M. Musakhanov , Sh. Baratov , N. Rakhimov

The infrared behaviour of vertex functions in an SU(N) Yang-Mills theory in Landau gauge is investigated employing a skeleton expansion of the Dyson-Schwinger equations. The three- and four-gluon vertices become singular if and only if all…

High Energy Physics - Theory · Physics 2010-04-06 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada

The influence of nonperturbative fields on instantons in quantum chromodynamics is studied. Nonperturbative vacuum is described in terms of nonlocal gauge invariant vacuum averages of gluon field strength. Effective action for instanton is…

High Energy Physics - Phenomenology · Physics 2010-02-03 N. O. Agasian , S. M. Fedorov

In this paper we consider features of graviton scattering in Matrix theory compactified on a 2-torus. The features which interest us can only be determined by nonperturbative effects in the corresponding 2+1 dimensional super Yang Mills…

High Energy Physics - Theory · Physics 2016-09-06 T. Banks , W. Fischler , N. Seiberg , L. Susskind

We consider the quark-antiquark Green's function in the Schwinger Model with instanton contributions taken into account. Thanks to the fact that this function may analytically be found, we draw out singular terms, which arise due to the…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Radozycki

We study finite action anti-self-dual Yang-Mills connections on the multi-Taub-NUT space. We establish the curvature and the harmonic spinors decay rates and compute the index of the associated Dirac operator. This is the first in a series…

Differential Geometry · Mathematics 2021-10-05 Sergey A. Cherkis , Andres Larrain-Hubach , Mark Stern

Recent efforts in lattice evaluation of the topological susceptibility had shown that at high temperatures it is given by well-separated instantons (even in QCD with light fermions, where those are highly suppressed). Recent development of…

High Energy Physics - Lattice · Physics 2017-01-30 Edward Shuryak

The fluctuation determinant, the preexponential factor for the instanton transition, has been computed several years ago in the Abelian Higgs model, using a method based on integrating the Euclidean Green' function. A more elegant method…

High Energy Physics - Theory · Physics 2008-11-26 Jurgen Baacke

We discuss various differences in the instanton-based calculations of the $\beta$ functions in theories such as Yang-Mills and $\mathbb{CP}(N\!-\!1)$ on one hand, and $\lambda\phi^4$ theory with Symanzik's sign-reversed prescription for the…

High Energy Physics - Theory · Physics 2023-07-19 Alexander Monin , Mikhail Shifman , Arkady Vainshtein

The influence of nonperturbative fields on instantons in quantum chromodynamics is studied. Nonperturbative vacuum is described in terms of nonlocal gauge invariant vacuum averages of gluon field strength.Effective action for instanton is…

High Energy Physics - Phenomenology · Physics 2015-06-25 Nikita O. Agasian , Sergei M. Fedorov

We study the ADHM construction of instantons in N=2 supersymmetric Yang-Mills theory deformed in constant Ramond-Ramond (R-R) 3-form field strength background in type IIB superstrings. We compare the deformed instanton effective action with…

High Energy Physics - Theory · Physics 2009-01-14 Katsushi Ito , Hiroaki Nakajima , Shin Sasaki

We reconsider the large $N$ asymptotics of Harish-Chandra-Itzykson-Zuber integrals. We provide, using Dyson's Brownian motion and the method of instantons, an alternative, transparent derivation of the Matytsin formalism for the unitary…

Statistical Mechanics · Physics 2014-09-08 Joel Bun , Jean-Philippe Bouchaud , Satya N. Majumdar , Marc Potters

We include instanton effects in QCD sum rules for coupled scalar glueballs and mesons. We find a light glueball/sigma as in earlier studies without instantons, but in a lattice-type pure instanton model the light glueball/sigma is not…

High Energy Physics - Phenomenology · Physics 2009-11-07 Leonard S. Kisslinger , Mikkel B. Johnson

We focus on the energy landscape of a simple mean-field model of glasses and analyze activated barrier-crossing by combining the Kac-Rice method for high-dimensional Gaussian landscapes with dynamical field theory. In particular, we…

Disordered Systems and Neural Networks · Physics 2021-01-06 V. Ros , G. Biroli , C. Cammarota

We study the structure and non-perturbative properties of a special Green's function, u(q), whose infrared behavior has traditionally served as the standard criterion for the realization of the Kugo-Ojima confinement mechanism. It turns out…

High Energy Physics - Phenomenology · Physics 2011-07-20 A. C. Aguilar , D. Binosi , J. Papavassiliou

There are, among others, currently two important views on the non-perturbative structure of Yang-Mills theory. One is through topological configurations and one is through Green's functions, in particular their (asymptotic) infrared…

High Energy Physics - Lattice · Physics 2009-06-25 Axel Maas

The asymmetric Hubbard model is used in investigating the lattice gas of the moving particles of two types. The model is considered within the dynamical mean-field method. The effective single-site problem is formulated in terms of the…

Strongly Correlated Electrons · Physics 2024-01-30 I. V. Stasyuk , O. B. Hera

The gluon and ghost propagators in Landau Gauge Yang-Mills Theory are investigated. Self-consistent solutions are obtained from their equations of motion above and below the presumed phase transition. Gluon confinement is manifest in these…

High Energy Physics - Phenomenology · Physics 2009-11-10 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

A nonperturbative theory of the electron propagator is developed and used to calculate the one-particle Green's function and tunneling density-of-states in strongly correlated electron systems. The method, which is based on a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael R. Geller

One-instanton contributions to the correlation functions of two gauge-invariant single-trace operators in N=4 SU(N) Yang-Mills theory are studied in semi-classical approximation in the BMN limit. The most straightforward examples involve…

High Energy Physics - Theory · Physics 2009-11-11 Michael B. Green , Stefano Kovacs , Aninda Sinha
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