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Instanton solutions of non-abelian Yang-Mills theories generate an effective action that may induce lepton and baryon number violations, namely $\Delta B = \Delta L = n_f$, being $n_f$ the number of families coupled to the gauge group. In…

High Energy Physics - Phenomenology · Physics 2015-02-03 J. Fuentes-Martin , J. Portoles , P. Ruiz-Femenia

The energy levels of the double-well potential receive, beyond perturbation theory, contributions which are non-analytic in the coupling strength; these are related to instanton effects. For example, the separation between the energies of…

Mathematical Physics · Physics 2009-11-07 U. D. Jentschura , J. Zinn-Justin

Recently it was shown that in QCD-like theories with $N_f > N$, where $N_f$ is the number of light flavors and $N$ is the number of colors, there are correlation functions that vanish in perturbation theory and at short distances receive…

High Energy Physics - Phenomenology · Physics 2015-10-13 Michael Dine , Patrick Draper , Guido Festuccia

The Green's functions of QCD encode important information about the infrared dynamics of the theory. The main non-perturbative tools used to study them are their own equations of motion, known as Schwinger-Dyson equations, and large-volume…

High Energy Physics - Phenomenology · Physics 2014-11-20 Joannis Papavassiliou

The gauge invariant two-point correlator for the gluon field strength tensor is analysed by means of the QCD sum rule method. To this end, we make use of a relation of this correlator to a two-point function for a quark-gluon hybrid in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. G. Dosch , M. Eidemueller , M. Jamin

We present some evidence that in Lattice Gauge Theory the condensate contains a non-perturbative contribution proportional to $\Lambda^2$, the square of the physical scale. This result is based on an analysis of the Wilson loop plaquette…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Burgio , F. Di Renzo , G. Marchesini , E. Onofri

A standard approach to investigate the non-perturbative QCD dynamics is through vacuum models which emphasize the role played by specific gauge field fluctuations, such as instantons, monopoles or vortexes. The effective Hamiltonian…

High Energy Physics - Phenomenology · Physics 2011-09-16 Raffaele Millo , Pietro Faccioli

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

The three-gluon vertex is a fundamental ingredient of the intricate QCD dynamics, being inextricably connected to key nonperturbative phenomena, such as the emergence of a mass scale in the gauge sector of the theory. In this presentation,…

High Energy Physics - Phenomenology · Physics 2022-01-24 J. Papavassiliou , A. C. Aguilar , M. N. Ferreira

A variety of evidence from lattice QCD is presented revealing the dominant role of instantons in the propagation of light quarks in the QCD vacuum and in light hadron structure. The instanton content of lattice gluon configurations is…

High Energy Physics - Lattice · Physics 2009-10-30 J. W. Negele

We discuss various aspects of multi-instanton configurations in generic multi-cut matrix models. Explicit formulae are presented in the two-cut case and, in particular, we obtain general formulae for multi-instanton amplitudes in the…

High Energy Physics - Theory · Physics 2011-11-17 Marcos Marino , Ricardo Schiappa , Marlene Weiss

We review recent theoretical results from our systematic study of QCD-instanton contributions to eP processes, involving a hard momentum scale Q. The main issues are: the absence of IR divergencies due to a dynamical suppression of…

High Energy Physics - Phenomenology · Physics 2009-10-30 Sven Moch , Andreas Ringwald , Fridger Schrempp

A long-standing problem concerns the question how to consistently combine perturbative expansions in QCD with power corrections in the context of the operator product expansion (OPE), since the former exhibit ambiguities due to infrared…

High Energy Physics - Phenomenology · Physics 2025-10-15 Martin Beneke , Hiromasa Takaura

Some features of the solutions to the truncated Dyson-Schwinger equations(DSEs) for the propagators of QCD in Landau gauge are summarized. In particular, the Kugo-Ojima confinement criterion is realized, and positivity of transverse gluons…

High Energy Physics - Phenomenology · Physics 2009-10-31 Reinhard Alkofer , Lorenz von Smekal

Field strength formulated Yang-Mills theory is confronted with the traditional formulation in terms of gauge fields. It is shown that both formulations yield the same semiclassics, in particular the same instanton physics. However, at the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Langfeld , H. Reinhardt

We apply the Bogoliubov compensation principle to QCD. The non-trivial solution of compensation equations for a spontaneous generation of the anomalous three-gluon interaction leads to the determination of parameters of the theory,…

High Energy Physics - Theory · Physics 2013-03-05 Boris A. Arbuzov , Ivan V. Zaitsev

The contribution of the quark-quark and quark-gluon interaction induced by instantons to the valence quark and proton spin-dependent structure functions $g_1(x,Q^2)$ is estimated within the instanton liquid model for QCD vacuum. It is…

High Energy Physics - Phenomenology · Physics 2009-10-30 N. I. Kochelev

We show that instanton calculations in QCD become theoretically well defined in the gluon saturation environment which suppresses large size instantons. The effective cutoff scale is determined by the inverse of the saturation scale. We…

High Energy Physics - Phenomenology · Physics 2009-11-07 Dmitri E. Kharzeev , Yuri V. Kovchegov , Eugene Levin

We summarise an analysis of the infrared regime of Landau gauge QCD by means of a flow equation approach. The infrared behaviour of gluon and ghost propagators is evaluated. The results provide further evidence for the Kugo-Ojima…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Pawlowski , D. F. Litim , S. Nedelko , L. von Smekal

We discuss the quark and gluon condensates in the presence of a rectangular Wilson loop using the QCD instanton vacuum with three light dynamical quarks. The scalar quark condensate is found to decrease while the gluon condensate to…

High Energy Physics - Phenomenology · Physics 2015-03-05 Yizhuang Liu , Ismail Zahed