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We simulate five different systems belonging to the universality class of the gauge dual of three-dimensional random percolation to study the underlying effective string theory at finite temperature. All the data for the finite temperature…

High Energy Physics - Lattice · Physics 2009-03-24 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

Random percolation can be fully interpreted as a confining pure gauge theory. With numerical high-precision measurements of Polyakov-Polyakov correlators at finite temperature, we could well observe the presence of shape effects due to…

High Energy Physics - Lattice · Physics 2008-11-26 Pietro Giudice , Ferdinando Gliozzi , Stefano Lottini

In $\mathrm{U(1)}$ lattice gauge theory in three spacetime dimensions, confinement can be analytically shown to persist at all values of the coupling. Furthermore, the explicit predictions for the dependence of string tension $\sigma$ and…

High Energy Physics - Lattice · Physics 2014-05-02 Davide Vadacchino , Michele Caselle , Roberto Pellegrini , Marco Panero

The percolating phase of whatever random percolation process resembles the confining vacuum of a gauge theory in most respects, with a string tension having a well-behaved continuum limit, a non trivial glueball spectrum and a deconfinement…

High Energy Physics - Lattice · Physics 2007-05-23 Ferdinando Gliozzi

We review the current knowledge about the theoretical foundations of the effective string theory for confining flux tubes and the comparison of the predictions to pure gauge lattice data. A concise presentation of the effective string…

High Energy Physics - Theory · Physics 2016-08-24 Bastian B. Brandt , Marco Meineri

The quantum fluctuations of the flux tube joining two static sources in the confining phase of a lattice gauge theory are described by an effective string theory. The predictions of the latter for ratios of Wilson loops of equal perimeter…

High Energy Physics - Lattice · Physics 2009-10-28 P. Provero

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

Three-dimensional bond or site percolation theory on a lattice can be interpreted as a gauge theory in which the Wilson loops are viewed as counters of topological linking with random clusters. Beyond the percolation threshold large Wilson…

Statistical Mechanics · Physics 2008-11-26 F. Gliozzi , S. Lottini , M. Panero , A. Rago

We study the spectrum of confining strings in SU(3) pure gauge theory, by means of lattice Monte Carlo simulations, using torelon operators in different representations of the gauge group. Our results provide direct evidence that the string…

High Energy Physics - Lattice · Physics 2009-11-10 Luigi Del Debbio , Haralambos Panagopoulos , Ettore Vicari

We continue the study of flux tubes in confining gauge theories placed in a rigid AdS background, focusing on the three-dimensional case. Our analysis is performed in the large-radius regime, where effective string theory provides a good…

High Energy Physics - Theory · Physics 2026-05-13 Barak Gabai , Victor Gorbenko , Bendeguz Offertaler

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

Understanding the confinement mechanism in gauge theories and the universality of effective string-like descriptions of gauge flux tubes remains a fundamental challenge in modern physics. We probe string modes of motion with dynamical…

In the context of confining gauge theories we study the flux tube generated by a pair of static sources belonging to higher rank representations of the gauge group. Using a simple geometric approach based on minimal surfaces describing the…

High Energy Physics - Lattice · Physics 2009-09-29 Ferdinando Gliozzi , Pietro Giudice , Stefano Lottini

Gauge systems in the confining phase induce constraints at the boundaries of the effective string, which rule out the ordinary bosonic string even with short distance modifications. Allowing topological excitations, corresponding to winding…

High Energy Physics - Theory · Physics 2019-08-17 M. Caselle , R. Fiore , F. Gliozzi , P. Provero , S. Vinti

The qualitative results for string rotation in the frame of Relativistic Flux Tube Model and the quantitative and qualitative results for decay of massive open string states of string theory are used as the basic principles in the Monte…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Lugovoi

The analytical study of confinement in lattice gauge theories (LGTs) remains a difficult task to this day. Taking a geometric perspective on confinement, we develop a real-space renormalization group (RG) formalism for $\mathbb{Z}_2$ LGTs…

Statistical Mechanics · Physics 2025-02-12 Gesa Dünnweber , Simon M. Linsel , Annabelle Bohrdt , Fabian Grusdt

We compare string percolation phenomenology to Glasma results on particle rapidity densities, effective string or flux tube intrinsic correlations, the ridge phenomena and long range forward-backward correlations. Effective strings may be a…

High Energy Physics - Phenomenology · Physics 2011-01-27 J. Dias de Deus , C. Pajares

We consider the dynamics of confined strings embedded in a gapless four-dimensional theory. To this end, we examine finite-tension string-like solutions to the equations of motion of the $\mathbb{C}\mathbb{P}^1$ non-linear sigma model. We…

High Energy Physics - Theory · Physics 2026-02-23 Jeremias Aguilera Damia , Giovanni Galati , Giovanni Rizi

We extend the holographic trailing string picture of a heavy quark to the case of a bulk geometry dual to a confining gauge theory. We compute the classical trailing confining string solution for a static as well as a uniformly moving…

High Energy Physics - Theory · Physics 2015-06-17 E. Kiritsis , L. Mazzanti , F. Nitti

The effective string describing the large distance behaviour of the quark sources of gauge field theories in the confining phase in D=3 or D=4 space-time dimensions can be formulated, in the infrared limit, as a suitable 2D conformal field…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , S. Vinti
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