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In the lattice CP(N) models we studied the problems related to the measure of the topological susceptibility and the string tension . We perfomed numerical simulations at N=4 and N=10. In order to test the universality, we adopted two…

High Energy Physics - Lattice · Physics 2016-08-31 M. Campostrini , P. Rossi , E. Vicari

We study the two-dimensional generalized Weingarten model reduced to a point, which interpolates reduced Weingarten model and the large-N gauge theory. We calculate the expectation value of the Wilson loop using Monte-Carlo method and…

High Energy Physics - Theory · Physics 2008-11-26 Masanori Hanada , Fukuichiro Kubo

A model for SU(n) string breaking on the lattice is formulated using strong coupling ideas. Although necessarily rather crude, the model gives an explicit picture of string breaking in the presence of dynamical quarks as a mixing phenomenon…

High Energy Physics - Lattice · Physics 2009-10-31 I T Drummond

We use solvable two-dimensional gauge theories to illustrate the issues in relating large N gauge theory to string theory. We also give an introduction to recent mathematical work which allows constructing master fields for higher…

High Energy Physics - Theory · Physics 2009-10-28 Michael R. Douglas

We explain, in a slightly modified form, an old construction allowing to reformulate the U(N) gauge theory defined on a D-dimensional lattice as a theory of lattice strings (a statistical model of random surfaces). The world surface of the…

High Energy Physics - Theory · Physics 2009-10-22 Ivan K. Kostov

Lattice simulations are presented showing the expectation of the fluctuation of the Wilson loop solely by elements of the center to fully reproduce the SU(3) heavy quark potential. The results are stable under smoothing, and point to thick…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovács , E. T. Tomboulis

For N>4 there is a first order bulk transition that cleanly separates the strong and weak coupling regimes of SU(N) lattice gauge theories with the plaquette action. We find that in this case the calculated string tension can be readily…

High Energy Physics - Lattice · Physics 2008-11-26 Chris Allton , Michael Teper , Aurora Trivini

We study the representations of SU(2) lattice gauge theory in terms of sums over the worldsheets of center vortices and Z2 electric strings, i.e. surfaces which open on the Wilson loop. It is shown that in contrast to center vortices the…

High Energy Physics - Lattice · Physics 2008-01-03 M. I. Polikarpov , P. V. Buividovich

We study the framing dependence of the Wilson loop observable of U(N) Chern-Simons gauge theory at large N. Using proposed geometrical large N dual, this leads to a direct computation of certain topological string amplitudes in a closed…

High Energy Physics - Theory · Physics 2007-05-23 Marcos Marino , Cumrun Vafa

We present simulation results comparing the SU(3) heavy quark potential extracted from the full Wilson loop expectation to that extracted from the expectation of the Wilson loop fluctuation solely by elements of Z(3). The two potentials are…

High Energy Physics - Lattice · Physics 2009-10-31 T. G. Kovács , E. T. Tomboulis

The average of two Wilson loops is expressed in terms of gauge invariant field strength correlators. Assuming the existence of finite correlation length $T_g$ and taking into account the absence of a fixed direction in colour space, we…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Yu. Dubin , Yu. S. Kalashnikova

In the high temperature phase of Yang-Mills theories, large spatial Wilson loops show area law behaviour with a string tension that grows with increasing temperature. Within the framework of the commonly used string picture we use a large…

High Energy Physics - Lattice · Physics 2008-11-26 L. Karkkainen , P. Lacock , D. E. Miller , B. Petersson , T. Reisz

We investigate the properties of the QCD string in the Euclidean SU(N) pure gauge theory when the space-time dimensions transverse to it are periodic. From the point of view of an effective string theory, the string tension $\sigma$ and the…

High Energy Physics - Theory · Physics 2010-04-05 Harvey B. Meyer

The large N limit of SU(N) gauge theories in 3+1 dimensions is investigated on the lattice by extrapolating results obtained for $2 \le N \le 5$. A numerical determination of the masses of the lowest-lying glueball states and of the…

High Energy Physics - Lattice · Physics 2015-06-25 B. Lucini , M. Teper

Using the correspondence between gauge theories and string theory in curved backgrounds, we investigate aspects of the large $N$ limit of non-commutative gauge theories by considering gravity solutions with $B$ fields. We argue that the…

High Energy Physics - Theory · Physics 2009-10-31 Juan M. Maldacena , Jorge G. Russo

The interpretation of the apparent unification of gauge couplings within supersymmetric theories depends on uncertainties induced through heavy particle thresholds. While in standard grand unified theories these effects can be estimated…

High Energy Physics - Theory · Physics 2009-10-22 P. Mayr , H. P. Nilles , S. Stieberger

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 derive a formula for the large N behaviour of the expectation values of an arbitrary product of Wilson loops in the adjoint representation. We show the consequences of our formula for the study of the large N strong coupling behaviour of…

High Energy Physics - Theory · Physics 2009-10-31 A. Gonzalez-Arroyo , C. Pena

In this paper we explore some of the features of large N supersymmetric and nonsupersymmetric gauge theories using Maldacena's duality conjectures. We shall show that the resulting strong coupling behavior of the gauge theories is…

High Energy Physics - Theory · Physics 2009-09-17 David J. Gross , Hirosi Ooguri

We test a variety of blocking and smearing algorithms for constructing glueball and string wave-functionals, and find some with much improved overlaps onto the lightest states. We use these algorithms to obtain improved results on the…

High Energy Physics - Lattice · Physics 2009-11-10 Biagio Lucini , Michael Teper , Urs Wenger