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Effective String Theory (EST) represents a powerful non-perturbative approach to describe confinement in Yang-Mills theory that models the confining flux tube as a thin vibrating string. EST calculations are usually performed using the…

High Energy Physics - Lattice · Physics 2024-02-13 Michele Caselle , Elia Cellini , Alessandro Nada

We study the spectrum of the confining strings in four-dimensional SU(N) gauge theories. We compute, for the SU(4) and SU(6) gauge theories formulated on a lattice, the string tensions sigma_k related to sources with Z_N charge k, using…

High Energy Physics - Theory · Physics 2009-11-07 Luigi Del Debbio , Haralambos Panagopoulos , Paolo Rossi , Ettore Vicari

We present a new approach to bootstrapping string-like theories by exploiting a local crossing symmetric dispersion relation and field redefinition ambiguities. This approach enables us to use mass-level truncation and to go beyond the dual…

High Energy Physics - Theory · Physics 2024-12-09 Faizan Bhat , Debapriyo Chowdhury , Arnab Priya Saha , Aninda Sinha

We review our new method, which might be the most direct and efficient way for approaching the continuum physics from Hamiltonian lattice gauge theory. It consists of solving the eigenvalue equation with a truncation scheme preserving the…

High Energy Physics - Theory · Physics 2015-06-26 S. H. Guo , Q. Z. Chen , X. Fang , J. Liu , X. Q. Luo , W. Zheng

Using a recently introduced algorithm for simulating percolation in microcanonical (fixed-occupancy) samples, we study the convergence with increasing system size of a number of estimates for the percolation threshold for an open system…

Statistical Mechanics · Physics 2009-11-07 R. M. Ziff , M. E. J. Newman

The extraction of Wilson loops of confining gauge systems from their SUGRA (string) duals is reviewed. I start with describing the basic classical setup. A theorem that determines the classical values of the loops associated with a…

High Energy Physics - Theory · Physics 2007-05-23 J. Sonnenschein

We derive the universal threshold corrections in heterotic string theory including a continuous Wilson line. Unification of gauge and gravitational couplings is shown to be possible even within perturbative string theory. The relative…

High Energy Physics - Theory · Physics 2009-10-30 H. P. Nilles , S. Stieberger

Percolation theory is usually applied to lattices with a uniform probability p that a site is occupied or that a bond is closed. The more general case, where p is a function of the position x, has received less attention. Previous studies…

Statistical Mechanics · Physics 2012-10-23 Michael T Gastner , Beata Oborny

We report some recent results obtained for large N gauge theories which support the idea of volume reduction. Results for the string tension of the Twisted Eguchi-Kawai model match with those obtained from extrapolation from finite N.…

High Energy Physics - Lattice · Physics 2013-03-21 Antonio González-Arroyo , Masanori Okawa

We propose a new approach towards the understanding of confinement. Starting from an anisotropic five dimensional pure gauge theory, we approach a second order phase transition where the system reduces dimensionally. Dimensional reduction…

High Energy Physics - Lattice · Physics 2010-05-12 Nikos Irges , Francesco Knechtli

N=2 supersymmetric Yang-Mills theories for all classical gauge groups, that is, for SU(N), SO(N), and Sp(N) is considered. The formal expression for almost all models accepted by the asymptotic freedom are obtained. The equations which…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Shadchin

Gauge theories describe the fundamental forces in the standard model of particle physics and play an important role in condensed matter physics. The constituents of gauge theories, for example charged matter and electric gauge field, are…

Quantum Physics · Physics 2025-12-03 Julius Mildenberger , Wojciech Mruczkiewicz , Jad C. Halimeh , Zhang Jiang , Philipp Hauke

We describe flux tubes and their interactions in a low energy sigma model induced by $SU({N_f}) \rightarrow SO({N_f})$ flavor symmetry breaking in $SO(N_c)$ QCD. Unlike standard QCD, this model allows gauge confinement to manifest itself in…

High Energy Physics - Theory · Physics 2010-11-01 K. M. Benson , M. Saadi

We investigate the gauging of the Wess-Zumino term of a sigma model with boundary. We derive a set of obstructions to gauging and we interpret them as the conditions for the Wess-Zumino term to extend to a closed form in a suitable…

High Energy Physics - Theory · Physics 2009-11-11 José Figueroa-O'Farrill , Noureddine Mohammedi

We present an exact mathematical framework able to describe site-percolation transitions in real multiplex networks. Specifically, we consider the average percolation diagram valid over an infinite number of random configurations where…

Physics and Society · Physics 2016-12-21 Ginestra Bianconi , Filippo Radicchi

We study the behaviour of the interquark potential in lattice gauge theories at high temperature, but still in the confining phase, and propose a new observable which could play in this regime the same role played by the Luscher term in the…

High Energy Physics - Lattice · Physics 2015-03-18 Michele Caselle , Alessandra Feo , Marco Panero , Roberto Pellegrini

We present results from simulations on two aspects of quark confinement in the pure gauge sector. First is the calculation of the profile of the flux tube connecting a static $q \bar{q}$ pair in $SU(2)$. By using the Michael sum rules as a…

High Energy Physics - Lattice · Physics 2007-05-23 Richard W. Haymaker , Vandana Singh , Dana Browne , Jacek Wosiek

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

In this paper we show that the limiting distribution of the real and the imaginary part of the double Fourier transform of a stationary random field is almost surely an independent vector with Gaussian marginal distributions, whose variance…

Probability · Mathematics 2017-08-29 Magda Peligrad , Na Zhang

This thesis considers two different aspects of string theory, the tensionless limit of the string and supersymmetric sigma models. The tensionless limit is used to find a IIB supergravity background generated by a tensionless string.…

High Energy Physics - Theory · Physics 2009-04-16 Jonas Persson