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In the present paper we investigate classical dynamics of the Nambu-Goto string with the Gauss-Bonnet term in the action and point-like masses at the ends in the context of effective QCD string. The configurations of rigidly rotating string…

High Energy Physics - Theory · Physics 2009-10-30 Leszek Hadasz , Tomasz Rog

The Gribov--Zwanziger scenario attributes the phenomenon of confinement to the instantaneous interaction term in the QCD Hamiltonian in the Coulomb gauge. For a static quark-antiquark pair, it leads to a potential energy that increases…

We consider Penrose limits of the Klebanov-Strassler and Maldacena-Nunez holographic duals to N =1 supersymmetric Yang-Mills. By focusing in on the IR region we obtain exactly solvable string theory models. These represent the…

High Energy Physics - Theory · Physics 2009-11-07 Eric G. Gimon , Leopoldo A. Pando Zayas , Jacob Sonnenschein , Matthew J. Strassler

We study various properties of closed relativistic strings. In particular, we characterize their closure under uniform convergence, extending a previous result by Y. Brenier on graph-like unbounded strings, and we discuss some related…

Mathematical Physics · Physics 2010-01-31 G. Bellettini , J. Hoppe , M. Novaga , G. Orlandi

We carry out lattice calculations of the spectrum of confining flux tubes that wind around a spatial torus of variable length l, in 2+1 dimensions. We compare the energies of the lowest c.30 states to the free string Nambu-Goto model and to…

High Energy Physics - Lattice · Physics 2015-05-27 Andreas Athenodorou , Barak Bringoltz , Michael Teper

Classical and quantum solutions for the relativistic straight-line string with arbitrary dependence on the world surface curvature are obtained. They differ from the case of the usual Nambu-Goto interaction by the behaviour of the Regge…

High Energy Physics - Theory · Physics 2007-05-23 L. D. Soloviev

It is shown how a string living in a higher dimensional space can be approximated as a point particle with squared extrinsic curvature. We consider a generalized Howe-Tucker action for such a "rigid particle" and consider its classical…

High Energy Physics - Theory · Physics 2015-07-21 Matej Pavšič

We investigate the roughening transition in the pure $\mathbb{Z}_2$ lattice gauge theory in (2+1) dimensions. Using numerical simulations with matrix product states, we explore the static and dynamical properties of an electric flux string…

High Energy Physics - Lattice · Physics 2025-06-02 Francesco Di Marcantonio , Sunny Pradhan , Sofia Vallecorsa , Mari Carmen Bañuls , Enrique Rico Ortega

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…

This paper is devoted to an analysis of vortex-nucleation for a Ginzburg-Landau functional with discontinuous constraint. This functional has been proposed as a model for vortex-pinning, and usually accounts for the energy resulting from…

Analysis of PDEs · Mathematics 2007-11-28 Ayman Kachmar

Nonperturbative terms in the free energy of Chern-Simons gauge theory play a key role in its duality to the closed topological string. We show that these terms are reproduced by performing a double scaling limit near the point where the…

High Energy Physics - Theory · Physics 2010-12-03 Sumit R. Das , Cesar Gomez

The dynamics of a vortex string, which describes the Nambu-Goldtone modes of the spontaneous breakdown of the target space D=4, N=1 supersymmetry and internal $U(1)_R$ symmetry to the world sheet ISO(1,1) symmetry, is constructed by using…

High Energy Physics - Theory · Physics 2009-03-12 Lu-Xin Liu

We review the status of the fourth-order (quartic in the spacetime curvature) terms induced by superstrings/M-theory (compactified on a warped torus) in the leading order with respect to the Regge slope parameter, and study their…

High Energy Physics - Theory · Physics 2009-12-17 Masao Iihoshi , Sergei V. Ketov

High-resolution numerical simulations are utilized to examine isotropic turbulence in a compressible fluid when long wavelength velocity fluctuations approach light speed. Spectral analysis reveals an inertial sub-range of relativistic…

High Energy Astrophysical Phenomena · Physics 2013-01-04 Jonathan Zrake , Andrew MacFadyen

We study the Polyakov loop correlator in the (2+1) dimensional Z_2 gauge model. An algorithm that we have presented recently, allows us to reach high precision results for a large range of distances and temperatures, giving us the…

High Energy Physics - Lattice · Physics 2009-02-07 M. Caselle , M. Hasenbusch , M. Panero

We consider a perturbative Gauss-Bonnet term supplementing the Einstein-Hilbert action, and evaluate its effect on the spectrum of the scalar mode that triggers the Gregory-Laflamme instability of black strings in five dimensional General…

High Energy Physics - Theory · Physics 2023-02-22 Carla Henríquez-Báez , Julio Oliva , Marcelo Oyarzo , Marcel I. Yáñez Reyes

Nonperturbative QCD is studied with the dual Ginzburg-Landau theory, where color confinement is realized through the dual Higgs mechanism by QCD-monopole condensation. We obtain a general analytic formula for the string tension. A compact…

High Energy Physics - Phenomenology · Physics 2016-11-03 H. Suganuma , H. Ichie , S. Sasaki , H. Toki

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

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

I give an overview of open, closed and heterotic N=2 strings. At the tree level I derive the effective field theories of all the strings, and discuss the group theory of the N=2 open string and the interaction between its open and closed…

High Energy Physics - Theory · Physics 2008-02-03 Neil Marcus