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We suggest an extension of the gauge principle which includes tensor gauge fields. In this extension of the Yang-Mills theory the vector gauge boson becomes a member of a bigger family of gauge bosons of arbitrary large integer spins. The…

High Energy Physics - Theory · Physics 2016-05-25 George Savvidy

We report recent progress of non-perturbative formulation of supersymmetric Yang-Mills. Although lattice formulations of two-dimensional theories which are fine tuning free to all order in perturbation theory are known for almost ten years,…

High Energy Physics - Lattice · Physics 2011-11-09 Masanori Hanada , Issaku Kanamori , So Matsuura , Fumihiko Sugino

The purpose of this paper is to review the recent progress in understanding quark confinement. The emphasis of this review is placed on how to obtain a manifestly gauge-independent picture for quark confinement supporting the dual…

High Energy Physics - Theory · Physics 2015-06-11 Kei-Ichi Kondo , Seikou Kato , Akihiro Shibata , Toru Shinohara

This article reports on the detailed study of the three-gluon vertex in four-dimensional $SU(3)$ Yang-Mills theory employing lattice simulations with large physical volumes and high statistics. A meticulous scrutiny of the so-called…

High Energy Physics - Lattice · Physics 2017-07-25 Ph. Boucaud , F. De Soto , J. Rodríguez-Quintero , S. Zafeiropoulos

We present an overview of a programme to understand the low-energy physics of quantum Yang-Mills theory from a quantum-information perspective. Our setting is that of the hamiltonian formulation of pure Yang-Mills theory in the temporal…

Quantum Physics · Physics 2020-06-11 Ashley Milsted , Tobias J. Osborne

We investigate the strong coupling limit of lattice QCD in the Hamiltonian formulation for systems with non-zero baryon density. In leading order the Hamiltonian looks like an antiferromagnet that is invariant under global U(N_f)xU(N_f) and…

High Energy Physics - Lattice · Physics 2007-05-23 Barak Bringoltz

We describe a new approach to the problem of putting supersymmetric theories on the lattice. The basic idea is to discretize a {\it twisted} formulation of the supersymmetric theory. For certain theories with extended supersymmetry these…

High Energy Physics - Lattice · Physics 2007-05-23 Simon Catterall

We develop a discrete lattice implementation of the hard thermal loop effective action by the method of added auxiliary fields. We use the resulting model to measure the sphaleron rate (topological susceptibility) of Yang-Mills theory at…

High Energy Physics - Phenomenology · Physics 2011-05-05 D. Bodeker , Guy D. Moore , K. Rummukainen

We make use of the global symmetries of the Yang-Mills theory on the lattice to design a new computational strategy for extracting glueball masses and matrix elements which achieves an exponential reduction of the statistical error with…

High Energy Physics - Lattice · Physics 2015-05-20 Michele Della Morte , Leonardo Giusti

We study the $SU(\infty)$ lattice Yang-Mills theory at the dimensions $D=2,3,4$ via the numerical bootstrap method. It combines the Makeenko-Migdal loop equations, with a cut-off $L_{\mathrm{max}}$ on the maximal length of loops, and…

High Energy Physics - Theory · Physics 2025-01-28 Vladimir Kazakov , Zechuan Zheng

The logarithmic broadening predicted by the systematic low-energy effective field theory for the confining string has recently been verified in numerical simulations of (2+1)-d SU(2) lattice Yang-Mills theory at zero temperature. The same…

High Energy Physics - Lattice · Physics 2011-03-30 F. Gliozzi , M. Pepe , U. -J. Wiese

In the present paper we shall extend the gauge principle so that it will enlarge the original algebra of the Abelian gauge transformations found earlier in our studies of tensionless strings to the non-Abelian case. In this extension of the…

High Energy Physics - Theory · Physics 2009-11-11 George Savvidy

We construct an anomaly-preserving compactification of 4d gauge theories, including $SU(N)$ Yang-Mills theory, $\mathcal{N}=1$ supersymmetric Yang-Mills theory, and QCD, down to 2d by turning on 't Hooft flux through $T^2$. It provides a…

High Energy Physics - Theory · Physics 2022-04-27 Yuya Tanizaki , Mithat Ünsal

Dual superconductivity is believed to be a promising mechanism for quark confinement and has been investigated on a lattice effectively by a particular gauge called the maximal Abelian (MA) gauge. We propose a new formulation of SU(3)…

High Energy Physics - Lattice · Physics 2007-10-18 A. Shibata , S. Kato , K. -I. Kondo , T. Murakami , T. Shinohara , S. Ito

The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Michael

We propose a new description of the SU(N) Yang-Mills theory on a lattice, which enables one to explain quark confinement based on the dual superconductivity picture in a gauge independent way. This is because we can define gauge-invariant…

High Energy Physics - Lattice · Physics 2010-01-21 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Shoichi Ito , Toru Shinohara , Takeharu Murakami

I review the idea of realizing the Higgs as a composite pseudo-Nambu-Goldstone boson of a new strongly-interacting sector and collect major constraints on the parameter space of minimal models. Besides limits from electroweak precision…

High Energy Physics - Phenomenology · Physics 2022-09-21 Florian Goertz

In this work we present a calculation of the Wilson Coefficients $C_1$ and $C_2$ of the Effective Weak Hamiltonian to all-orders in $\alpha_s$, using lattice simulations. Given the current availability of lattice spacings we restrict our…

High Energy Physics - Lattice · Physics 2018-04-18 Mattia Bruno

I review the status of the issue of the k-string tension in Yang-Mills theory. After a summary of known facts I discuss a weakly coupled four-dimensional Yang-Mills theory that supports non-Abelian strings and can, in certain aspects, serve…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Shifman

Recently, new theoretical ideas have allowed the construction of lattice actions which are explicitly invariant under one or more supersymmetries. These theories are local and free of doublers and in the case of Yang-Mills theories also…

High Energy Physics - Lattice · Physics 2010-11-05 Simon Catterall
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