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Related papers: Effective string theory on a torus: the 3d Ising d…

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We derive a constraint (string equation) which together with the Toda Lattice hierarchy determines completely the integrable structure of the compactified 2D string theory. The form of the constraint depends on a continuous parameter, the…

High Energy Physics - Theory · Physics 2009-11-07 Ivan K. Kostov

We investigate string configurations in the deconfined phase of SU(3) gauge theory, which arise from the spontaneous breaking of the $Z_3$ center symmetry. These configurations form at the junctions of domain walls of the theory. The…

High Energy Physics - Lattice · Physics 2026-05-04 Sanatan Digal , Vinod Mamale , Sumit Shaw

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

In presence of a static pair of sources, the spectrum of low-lying states of whatever confining gauge theory in D space-time dimensions is described, at large source separations, by an effective string theory. In the far infrared the latter…

High Energy Physics - Theory · Physics 2013-06-20 Michele Caselle , Davide Fioravanti , Ferdinando Gliozzi , Roberto Tateo

Using an effective theory for an ensemble of center vortices, we observe the area law fall-off in the continuum limit for the SU($2$) gauge group in three-dimensional Euclidean space-time. The string tension is obtained in terms of the…

High Energy Physics - Phenomenology · Physics 2025-06-12 Zahra Asmaee , Motahareh Kiamari , Sedigheh Deldar

The effective string picture of confinement is used to derive theoretical predictions for the interquark potential at finite temperature. At short distances, the leading string correction to the linear confining potential between a heavy…

High Energy Physics - Lattice · Physics 2009-11-10 Michele Caselle , Martin Hasenbusch , Marco Panero

Motivated by the recent progress in the effective string description of the interquark potential in lattice gauge theory, we study interfaces with periodic boundary conditions in the three-dimensional Ising model. Our Monte Carlo results…

High Energy Physics - Lattice · Physics 2009-02-07 Michele Caselle , Martin Hasenbusch , Marco Panero

In the presented article we present an algorithm for the computation of ground state spin configurations for the 2d random bond Ising model on planar triangular lattice graphs. Therefore, it is explained how the respective ground state…

Disordered Systems and Neural Networks · Physics 2015-05-19 O. Melchert , A. K. Hartmann

We compare the predictions of the effective string description of confinement with a set of Montecarlo data for the 3d gauge Ising model at finite temperature. Thanks to a new algorithm which makes use of the dual symmetry of the model we…

High Energy Physics - Lattice · Physics 2014-11-17 M. Caselle , M. Hasenbusch , M. Panero

Configurations of vortex-strings stretched between or ending on domain walls were previously found to be 1/4 BPS states. Among zero modes of string positions, the center of mass of strings in each region between two adjacent domain walls is…

High Energy Physics - Theory · Physics 2009-03-24 Minoru Eto , Toshiaki Fujimori , Takayuki Nagashima , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

Effective string theory describes the physics of long confining strings in theories, like Yang-Mills theory, where the mass gap $M_{gap}^2$ is of the same order as the string tension $T$. In $2+1$ dimensions, there is a class of confining…

High Energy Physics - Theory · Physics 2025-02-19 Ofer Aharony , Netanel Barel , Tal Sheaffer

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 report the results of a set of high precision simulations performed in the 3d gauge Ising model. We evaluated the interquark potential and the first few energy levels and compared them with the predictions obtained with the effective…

High Energy Physics - Lattice · Physics 2007-05-23 M. Billo , M. Caselle , M. Hasenbusch , M. Panero

We consider the Nambu-Goto bosonic string model as a description of the physics of interfaces. By using the standard covariant quantization of the bosonic string, we derive an exact expression for the partition function in dependence of the…

High Energy Physics - Theory · Physics 2009-11-11 M. Billo , M. Caselle , L. Ferro

The string tension at low T and the free energy of domain walls at high T can be computed from one and the same observable. We show by explicit calculation that domain walls in hot Z(2) gauge theory have good thermodynamical behaviour. This…

High Energy Physics - Lattice · Physics 2007-05-23 S. Bronoff , C. P. Korthals Altes

We study the free energy of the pure glue QCD string with a torus target space and the gauge groups $SU(N)$ and (chiral) $U(N)$. It is highly constrained by a strong/weak gauge coupling duality which results in modular covariance. The…

High Energy Physics - Theory · Physics 2007-05-23 Robert Rudd

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

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

Configurations of vortex-strings stretched between or ending on domain walls were previously found to be 1/4 Bogomol'nyi-Prasad-Sommerfield(BPS) states in N=2 supersymmetric gauge theories in 3+1 dimensions. Among zero modes of string…

High Energy Physics - Theory · Physics 2009-02-18 Minoru Eto , Toshiaki Fujimori , Takayuki Nagashima , Muneto Nitta , Keisuke Ohashi , Norisuke Sakai

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