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We provide accurate Monte Carlo results for the free energy of interfaces with periodic boundary conditions in the 3D Ising model. We study a large range of inverse temperatures, allowing to control corrections to scaling. In addition to…

High Energy Physics - Lattice · Physics 2008-11-26 Michele Caselle , Martin Hasenbusch , Marco Panero

We compare the predictions of the Nambu-Goto effective string model with a set of high precision Monte Carlo results for interfaces with periodic boundary conditions in the 3D Ising model. We compute the free energy in the covariant gauge…

High Energy Physics - Lattice · Physics 2008-11-26 M. Billo , M. Caselle , L. Ferro , 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

It is shown that finite size effects in the free energy of a rough interface of the 3D Ising and three--state Potts models are well described by the capillary wave model at {\em two--loop} order. The agreement between theoretical…

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

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

We study 2D wedge wetting using a continuum interfacial Hamiltonian model which is solved by transfer-matrix methods. For arbitrary binding potentials, we are able to exactly calculate the wedge free-energy and interface height distribution…

Condensed Matter · Physics 2009-10-31 A. O. Parry , C. Rascon , A. J. Wood

General solutions of a gravitational junction between two copies of a three-dimensional Einstein manifold $\mathcal{M}$ correspond to the solutions of the non-linear Nambu-Goto equation for a string in $\mathcal{M}$. We show that, for the…

High Energy Physics - Theory · Physics 2026-05-26 Avik Banerjee , Tanay Kibe , Ayan Mukhopadhyay , Giuseppe Policastro

In this paper, which is a revised version of the author's PhD thesis, we analyze two different applications of string theory. In the first part, we focus on four dimensional compactifications of Type II string theories preserving N=1…

High Energy Physics - Theory · Physics 2009-11-20 Livia Ferro

We study the Z(2) lattice gauge theory in three dimensions, and present high precision estimates for the first few energy levels of the string spectrum. These results are obtained from new numerical data for the two-point Polyakov loop…

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

An effective sigma model describing behavior of the 3d rigid string with a $\theta$-term at $\theta=\pi$ is proposed. It contains non-perturbative corrections resulting from summation over different genera of the 2d surfaces. The effective…

High Energy Physics - Theory · Physics 2009-10-28 Jacek Pawełczyk

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 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

Roughening of interfaces implies the divergence of the interface width $w$ with the system size $L$. For two-dimensional systems the divergence of $w^2$ is linear in $L$. In the framework of a detailed capillary wave approximation and of…

Statistical Mechanics · Physics 2021-03-16 Gernot Münster , Manuel Cañizares Guerrero

We consider the effect of uniform driving on the interface between two phases which are described by model C dynamics. The non-driven system has a classical Gaussian interface described by capillary wave theory. The model under driving…

Statistical Mechanics · Physics 2025-01-23 David S. Dean , Paul Gersberg , Peter C. W. Holdsworth

We study the topology of fluid interfaces in the 3D Ising model in the rough phase. It turns out that such interfaces are accurately described as dilute gases of microscopic handles, and the stiffness of the interface increases with the…

Condensed Matter · Physics 2015-06-25 M. Caselle , F. Gliozzi , U. Magnea

We compare predictions of the Capillary Wave Model with Monte Carlo results for the energy gap and the interface energy of the 3D Ising model in the scaling region. Our study reveals that the finite size effects of these quantities are well…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , R. Fiore , M. Hasenbusch , K. Pinn , S. Vinti

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

We study interfaces with periodic boundary conditions in the low temperature phase of the improved Blume-Capel model on the simple cubic lattice. The interface free energy is defined by the difference of the free energy of a system with…

Statistical Mechanics · Physics 2017-09-28 Martin Hasenbusch

In Binder's approach the reduced interface tension sigma of the Ising model in the broken phase is determined from the finite volume effects of the partition function Z(M) at fixed total magnetization M. For small |M| the partition function…

High Energy Physics - Lattice · Physics 2007-05-23 U. -J. Wiese

Using the Monte Carlo method, we determine the free energy of the interface of the 3D Ising model in the scaling region. By integrating the interface energies over the inverse temperature $\beta$, we obtain estimates for the free energies…

Condensed Matter · Physics 2015-06-25 M. Hasenbusch , K. Pinn
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