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We present the low-energy effective theory on long strings in quantum field theory, including a streamlined review of previous literature on the subject. Such long strings can appear in the form of solitonic strings, as in the 4d Abelian…

High Energy Physics - Theory · Physics 2015-06-15 Ofer Aharony , Zohar Komargodski

In U(1) lattice gauge theory in three spacetime dimensions, the problem of confinement can be studied analytically in a semi-classical approach, in terms of a gas of monopoles with Coulomb-like interactions. In addition, this theory can be…

High Energy Physics - Lattice · Physics 2015-01-27 Michele Caselle , Marco Panero , Roberto Pellegrini , Davide Vadacchino

Quantization of two-dimensional Yang-Mills theory on a torus in the gauge where the field strength is diagonal leads to twisted sectors that are completely analogous to the ones that originate long string states in Matrix String Theory. If…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'Adda , P. Provero

In presence of a static pair of sources, the spectrum of low-lying states of any confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. Recently two important advances…

High Energy Physics - Lattice · Physics 2014-01-08 Marco Billò , Michele Caselle , Davide Fioravanti , Ferdinando Gliozzi , Marco Meineri , Roberto Pellegrini , Roberto Tateo

We study the effective bosonic string that describes confining flux tubes in three-dimensional SU(N) Yang--Mills theories. Although the low-energy properties are universal and well described by the Nambu--Got\=o action, the subtle…

High Energy Physics - Lattice · Physics 2024-12-20 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

We investigate the transverse fluctuations of the confining string connecting two static quarks in (2+1)-d SU(2) Yang-Mills theory using Monte Carlo calculations. The exponentially suppressed signal is extracted from the large noise by a…

High Energy Physics - Lattice · Physics 2010-11-11 F. Gliozzi , M. Pepe , U. -J. Wiese

We study some features of the confining string connecting a quark-anti-quark pair in Yang-Mills theory. Monte Carlo investigations of the flux tube between two static quarks in the fundamental representation show that its thickness…

High Energy Physics - Lattice · Physics 2011-03-28 M. Pepe

The U(1) lattice gauge theory in three dimensions is a perfect laboratory to study the properties of the confining string. On the one hand, thanks to the mapping to a Coulomb gas of monopoles, the confining properties of the model can be…

High Energy Physics - Lattice · Physics 2015-05-12 Davide Vadacchino , Michele Caselle , Marco Panero , Roberto Pellegrini

Effective String Theory (EST) offers a robust non-perturbative framework for describing confinement in Yang-Mills theory by treating the confining flux tube between a static quark-antiquark pair as a thin, vibrating string. While EST…

High Energy Physics - Lattice · Physics 2025-08-29 Michele Caselle , Elia Cellini , Alessandro Nada

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

The dynamics of heavy quarkonium systems in the strong coupling regime reduces to a quantum mechanical problem with a number of potentials which may be organized in powers of 1/m, m being the heavy quark mass. The potentials must be…

High Energy Physics - Phenomenology · Physics 2010-04-28 Guillem Perez-Nadal , Joan Soto

We study string breaking in the three dimensional SU(2) Higgs model, using values of the gauge coupling for which the confinement-like and Higgs-like regions of the phase diagram are separated just by a smooth crossover. We show that even…

High Energy Physics - Lattice · Physics 2021-09-08 Claudio Bonati , Michele Caselle , Silvia Morlacchi

We try to draw lessons for higher dimensions from the string representations recently derived for large $N$ Yang-Mills theory by Gross and Taylor, Kostov, and others, and call attention to three characteristics that should be expected of a…

High Energy Physics - Theory · Physics 2007-05-23 Michael R. Douglas

String configurations have been identified in compactified Matrix theory at vanishing string coupling. We show how the interactions of these strings are determined by the Yang-Mills gauge field on the worldsheet. At finite string coupling,…

High Energy Physics - Theory · Physics 2009-10-31 Vipul Periwal , Oyvind Tafjord

We carry out a systematic study of the effective bosonic string describing confining flux tubes in $\mathrm{SU}(N)$ Yang--Mills theories in three spacetime dimensions. While their low-energy properties are known to be universal and are…

High Energy Physics - Lattice · Physics 2024-09-04 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

We review and elaborate on properties of the string tension in two-dimensional gauge theories. The first model we consider is massive QED in the $m\ll e$ limit. We evaluate the leading string tension both in the fermionic and bosonized…

High Energy Physics - Theory · Physics 2009-10-31 A. Armoni , Y. Frishman , J. Sonnenschein

We present a study of the effective string that describes the infrared dynamics of SU(2) Yang-Mills theory in three dimensions. By combining high-precision lattice simulation results for Polyakov-loop correlators at finite temperatures…

High Energy Physics - Theory · Physics 2022-03-24 Fabrizio Caristo , Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Antonio Smecca

This chapter explains the concept of \emph{Effective String Theories}(EST), and their success in explaining the results that Yang-Mills flux tubes behave, to a high degree of accuracy, like Bosonic Strings(BST). It describes EST's of…

High Energy Physics - Theory · Physics 2024-03-26 N. D. Hari Dass

We study junctions between confining strings. We show that the effective theory of such junctions is very predictive with only one new parameter, the junction's mass, controlling the first couple of terms in the expansion in the system…

High Energy Physics - Theory · Physics 2024-07-08 Zohar Komargodski , Siwei Zhong

An effective theory based on ensembles of either regular gauge instantons or merons is shown to produce confinement in SU(2) Yang-Mills theory. When the scale is set by the string tension, the action density, topological susceptibility and…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Lenz , J. W. Negele , M. Thies
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