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Effective String Theory (EST) is a non-perturbative framework used to describe confinement in Yang-Mills theory through the modeling of the interquark potential in terms of vibrating strings. An efficient numerical method to simulate such…

High Energy Physics - Lattice · Physics 2023-09-27 Michele Caselle , Elia Cellini , Alessandro Nada

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

Effective String Theory (EST) is a powerful tool used to study confinement in pure gauge theories by modeling the confining flux tube connecting a static quark-anti-quark pair as a thin vibrating string. Recently, flow-based samplers have…

High Energy Physics - Lattice · Physics 2025-01-09 Michele Caselle , Elia Cellini , Alessandro Nada

Flow-based architectures have recently proved to be an efficient tool for numerical simulations of Effective String Theories regularized on the lattice that otherwise cannot be efficiently sampled by standard Monte Carlo methods. In this…

High Energy Physics - Lattice · Physics 2025-02-18 Michele Caselle , Elia Cellini , Alessandro Nada

We study the spectrum of closed flux tubes in four dimensional SU(N) gauge theories. We do so by calculating the energies of the low lying states with the variational technique (whose basis consists of about ~700 operators). We study states…

High Energy Physics - Lattice · Physics 2010-11-05 Andreas Athenodorou , Barak Bringoltz , Michael Teper

A major result of the Effective String Theory (EST) description of confinement is the so called "low energy universality," which states that the first few terms of the large distance expansion of any EST are universal and coincide with…

High Energy Physics - Lattice · Physics 2024-03-05 Alberto Baffigo , Michele Caselle

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

The quest to develop an effective string theory capable of describing the confining flux tube has been a longstanding objective within the theoretical physics community. Recent lattice results indicate that the low-lying spectrum of the…

High Energy Physics - Lattice · Physics 2024-11-26 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

In this review, after a general introduction to the effective string theory (EST) description of confinement in pure gauge theories, we discuss the behaviour of EST as the temperature is increased. We show that, as the deconfinement point…

High Energy Physics - Lattice · Physics 2021-06-01 Michele Caselle

We study the low-energy effective action governing the transverse fluctuations of a long string, such as a confining flux tube in QCD. We work in the static gauge where this action contains only the transverse excitations of the string. The…

High Energy Physics - Theory · Physics 2015-06-03 Ofer Aharony , Matthew Dodelson

Effective magnetic $SU(N)$ gauge theory with classical $Z_N$ flux tubes of intrinsic width $\frac{1}{M}$ is an effective field theory of the long distance quark-antiquark interaction in $SU(N)$ Yang-Mills theory. Long wavelength…

High Energy Physics - Phenomenology · Physics 2016-03-23 M. Baker

Effective string theory has shown its universal power in the prediction of the spectrum of low-lying excited states of confining strings. Here we study confining flux tubes in $\mathbb{Z}_N$ gauge theories. For the $N=2$ theory, which…

High Energy Physics - Lattice · Physics 2023-12-08 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

We revisit the effective field theory of long relativistic strings such as confining flux tubes in QCD. We derive the Polchinski-Strominger interaction by a calculation in static gauge. This interaction implies that a non-critical string…

High Energy Physics - Theory · Physics 2013-02-18 Sergei Dubovsky , Raphael Flauger , Victor Gorbenko

We carry out lattice calculations of the spectrum of confining flux tubes that wind around a spatial torus of variable length l, in 2+1 dimensions. We compare the energies of the lowest c.30 states to the free string Nambu-Goto model and to…

High Energy Physics - Lattice · Physics 2015-05-27 Andreas Athenodorou , Barak Bringoltz , Michael Teper

We perform a high precision measurement of the spectrum of the QCD flux tube in three-dimensional $\SU(2)$ gauge theory at multiple lattice spacings. We compare the results at large $q\bar{q}$ separations $R$ to the spectrum predicted by…

High Energy Physics - Lattice · Physics 2022-02-18 Bastian B. Brandt

I adapt the Gauge String, representing the strong coupling (SC) expansion in the continuous D>=3 Yang-Mills theory (YM_{D}) with a sufficiently large bare coupling constant \lambda>\lambda_{cr} and a fixed ultraviolet cut off \Lambda, to…

High Energy Physics - Theory · Physics 2007-05-23 Andrey Yu. Dubin

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

In the vicinity of the deconfinement transition the behaviour of the interquark potential can be precisely predicted using the Effective String Theory (EST). If the transition is continuous we can combine EST results with a conformal…

High Energy Physics - Lattice · Physics 2022-09-01 F. Caristo , M. Caselle , N. Magnoli , A. Nada , M. Panero , A. Smecca

We measure the energy levels of the excitations of the flux tube between static quark and antiquark in three-dimensional SU(2) gauge theory. Combining exponential error reduction techniques and a variational method we are able to reduce the…

High Energy Physics - Lattice · Physics 2011-02-18 Bastian B. Brandt

I begin these three lectures by describing some of the useful things that we have learned about large-N gauge theories using lattice simulations. For example that the theory is confining in that limit, that for many quantities SU(3) is…

High Energy Physics - Lattice · Physics 2013-06-11 Michael Teper
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