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We obtain an effective string theory of the Abrikosov-Nielsen-Olesen vortices of the Abelian Higgs model. The theory has an anomaly free effective string action which, when the extrinsic curvature is set equal to zero, yields the Nambu-Goto…

High Energy Physics - Phenomenology · Physics 2010-05-27 M. Baker , R. Steinke

The U(1) lattice gauge theory in three dimensions is a perfect laboratory to study the properties of the confining string. On the one hand, thanks to the mapping to a Coulomb gas of monopoles, the confining properties of the model can be…

High Energy Physics - Lattice · Physics 2015-05-12 Davide Vadacchino , Michele Caselle , Marco Panero , Roberto Pellegrini

We compute the string susceptibility $\gamma_{str}$ for the regularized Nambu-Goto string in $d$ dimensions and obtain $\gamma_{str}=1/2 $ in $2<d<26$. This agrees with previous results obtained for lattice strings.

High Energy Physics - Theory · Physics 2021-07-21 Jan Ambjorn , Yuri Makeenko

We construct special solutions of the Nambu-Goto equations for stationary strings in a general Kerr-NUT-(A)dS spacetime in any number of dimensions. This construction is based on the existence of explicit and hidden symmetries generated by…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Jens Boos , Valeri P. Frolov

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

We consider self-avoiding Nambu-Goto open strings on a random surface. We have shown that the partition function of such a string theory can be calculated exactly. The string susceptibility for the disk is evaluated to be $-\frac{1}{2}$. We…

High Energy Physics - Theory · Physics 2009-10-22 Nobuyuki Ishibashi

This paper completes the work, initiated in [hep-th/9906003,hep-th/0301204], further referred as Parts I and II, concerning to Dirac's quantization of Nambu-Goto theory of open string, formulated in the space-time of dimension d=4. Here we…

High Energy Physics - Theory · Physics 2007-05-23 Igor Nikitin , Lialia Nikitina

I investigate the higher-derivative conformal theory which shows how the Nambu-Goto and Polyakov strings can be told apart. Its energy-momentum tensor is conserved, traceless but does not belong to the conformal family of the unit operator.…

High Energy Physics - Theory · Physics 2023-02-08 Yuri Makeenko

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

I begin these three lectures by describing some of the useful things that we have learned about large-N gauge theories using lattice simulations. For example that the theory is confining in that limit, that for many quantities SU(3) is…

High Energy Physics - Lattice · Physics 2013-06-11 Michael Teper

We derive the equations of motion for general strings, i.e. strings with arbitrary relation between tension $\tau$ and energy per unit length $\epsilon$. The renormalization of $\tau$ and $\epsilon$ that results from averaging out small…

High Energy Physics - Phenomenology · Physics 2009-10-22 Jooyoo Hong , Jaewan Kim , Pierre Sikivie

The mean-square width of the energy profile of bosonic string is calculated considering two boundary terms in the effective action. The perturbative expansion of the Lorentz-invariant boundary terms at the second and the fourth order in the…

High Energy Physics - Theory · Physics 2023-03-22 A. S. Bakry , M. A. Deliyergiyev , A. A. Galal , M. N. Khalil

We compute the spectrum of excitations of the rotating Nambu-Goto string with masses at the ends. We find interesting quasi-massless modes in the limit of slow rotation and comment on the nontrivial relation between world-sheet and target…

High Energy Physics - Theory · Physics 2013-12-13 Jochen Zahn

We carry out further analysis of the Hamiltonian approach to Yang-Mills theory in 2+1 dimensions which helps to place the calculation of the vacuum wave function and the string tension in the context of a systematic expansion scheme. The…

High Energy Physics - Theory · Physics 2009-10-29 Dimitra Karabali , V. P. Nair , Alexandr Yelnikov

We identify the leading finite-size (Luscher-type) correction to the energy of open strings ending on maximal giant gravitons. In particular we obtain the leading finite size correction at weak 't Hooft coupling and in the planar limit to…

High Energy Physics - Theory · Physics 2009-09-30 D. H. Correa , C. A. S. Young

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

In the presence of a static quark--antiquark pair, the spectrum of the low-lying states in SU($N$) gauge theories is discrete and likely to be described, at large quark separations $r$, by an effective string theory. The expansion of the…

High Energy Physics - Theory · Physics 2010-02-03 Martin Lüscher , Peter Weisz

We show that a Nambu-Goto string has a nontrivial zero length limit which corresponds to a massless particle with extrinsic curvature. The system has the set of six first class constraints, which restrict the phase space variables so that…

High Energy Physics - Theory · Physics 2015-06-22 Matej Pavšič

We show that the Nambu-Goto string, and its higher dimensional generalizations, can be quantized, in the sense of an effective theory, in any dimension of the target space. The crucial point is to consider expansions around classical string…

Mathematical Physics · Physics 2014-04-16 Dorothea Bahns , Katarzyna Rejzner , Jochen Zahn

We consider a quantized massless and minimally coupled scalar field on a circular closed string with a time-dependent radius $R(t)$, whose undisturbed dynamics is governed by the Nambu-Goto action. Within the semi-classical treatment, the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Günter Plunien , Marcus Ruser , Ralf Schützhold
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