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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

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

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

Recent lattice results strongly support the Axionic String Ansatz (ASA) for quantum numbers of glueballs in 3D Yang-Mills theory. The ASA treats glueballs as closed bosonic strings. The corresponding worldsheet theory is a deformation of…

High Energy Physics - Theory · Physics 2023-04-13 Sergei Dubovsky , Guzmán Hernández-Chifflet , Shahrzad Zare

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

All-order strong coupling simulations have been used to derive precise energies of string states in the confined phase of three dimensional Z(2) lattice gauge theory. The behavior of the ground state energy is here compared with predictions…

High Energy Physics - Lattice · Physics 2013-09-06 Tomasz Korzec , Ulli Wolff

Motivated by the possibility of an effective string description for the infrared limit of pure Yang-Mills theory, we present a toy model for an effective theory of random surfaces propagating in a target space of $D>2$. We show that the…

High Energy Physics - Theory · Physics 2015-06-26 S. Chaudhuri , D. Minic

Recently, Witten proposed a topological string theory in twistor space that is dual to a weakly coupled gauge theory. In this lectures we will discuss aspects of the twistor string theory. Along the way we will learn new things about…

High Energy Physics - Theory · Physics 2007-05-23 Freddy Cachazo , Peter Svrcek

We describe an effective theory of a scalar field, motivated by some features expected in the low energy theory of gluodynamics in 3+1 dimensions. The theory describes two propagating massless particles in a certain limit, which we identify…

High Energy Physics - Theory · Physics 2013-12-16 Ibrahim Burak Ilhan , Alex Kovner

Yang-Mills theories in 2+1 (or 3) dimensions are interesting as nontrivial gauge theories in their own right and as effective theories of QCD at high temperatures. I shall review the basics of our Hamiltonian approach to this theory,…

High Energy Physics - Theory · Physics 2011-07-14 V. P. Nair

Using a gauge-invariant matrix parametrization of the gauge fields, we present an analysis of how the mass gap arises in (2+1)-dimensional Yang-Mills theory. We further derive an analytical continuum expression for the vacuum wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 Dimitra Karabali

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

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

Simulations in lattice gauge theory suggest that the formation of a flux tube between quark and antiquark leads to quark confinement. It is conjectured that the infrared behaviour of the flux tube is governed by an effective string theory…

High Energy Physics - Lattice · Physics 2013-08-26 Bastian B. Brandt

Centre of mass momentum for strings is an important ingredient in the calculation of the spectrum of string theories. It is calculated by the N\"other prescription for two types of conformally invariant effective string theories of the…

High Energy Physics - Theory · Physics 2010-05-27 N. D. Hari Dass

QCD string is formed at the distances larger than the confinement scale and can be described by the Polchinski--Strominger effective string theory with a nonpolynomial action, which has nevertheless a well-defined semiclassical expansion…

High Energy Physics - Theory · Physics 2011-01-26 Yuri Makeenko

We study the general low-energy effective action on long open strings, such as confining strings in pure gauge theories. Using Lorentz invariance, we find that for a string of length R, the leading deviation from the Nambu-Goto energy…

High Energy Physics - Theory · Physics 2011-03-07 Ofer Aharony , Matan Field

In previous work we used magnetic SU(N) gauge theory with adjoint representation Higgs scalars to describe the long distance quark-antiquark interaction in pure Yang-Mills theory, and later to obtain an effective string theory. The…

High Energy Physics - Phenomenology · Physics 2013-01-21 M. Baker

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

We study the spatial volume dependence of electric flux energies for SU(2) Yang-Mills fields on the torus with twisted boundary conditions. The results approach smoothly the rotational invariant Confinement regime. The would-be string…

High Energy Physics - Lattice · Physics 2008-11-26 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Pablo Martinez