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We exhibit the appropriate variables allowing the plus-minus (Z(2)) `reduction' of the Wilson loop operator which provides a direct measure of the thin, thick and `mixed' Z(2) topological, gauge-invariant vortices in SU(2) LGT. Simulations…

High Energy Physics - Lattice · Physics 2009-10-30 Tamas G. Kovacs , E. T. Tomboulis

We discuss k-strings in the large-N Yang-Mills theory and its supersymmetric extension. Whereas the tension of the bona fide (stable) QCD string is expected to depend only on the N-ality of the representation, tensions that depend on…

High Energy Physics - Theory · Physics 2015-06-26 A. Armoni , M. Shifman

We test numerically the effective string description of the infrared limit of lattice gauge theories in the confining regime. We consider the 3d Z(2) lattice gauge theory, and we define ratios of Wilson loops such that the predictions of…

High Energy Physics - Lattice · Physics 2008-11-26 M. Caselle , R. Fiore , F. Gliozzi , M. Hasenbusch , P. Provero

We calculate the k=2 string tensions in SU(4) and SU(5) gauge theories in 3+1 dimensions, and compare them to the k=1 fundamental string tensions. We find, from the continuum extrapolation of our lattice calculations, that K(k=2)/K(k=1) =…

High Energy Physics - Lattice · Physics 2009-10-31 B. Lucini , M. Teper

We exhibit the gauge-group independence (``universality'') of all normalized non-intersecting Wilson loop expectation values in the large N limit of two-dimensional Yang-Mills theory. This universality is most easily understood via the…

High Energy Physics - Theory · Physics 2016-09-06 M. Crescimanno , S. Naculich , H. J. Schnitzer

We calculate Wilson loops of various sizes up to 20 loops in SU(3) pure lattice gauge theory at different lattice sizes for Wilson gauge action using the technique of numerical stochastic perturbation theory. This allows us to investigate…

High Energy Physics - Lattice · Physics 2013-05-30 R. Horsley , G. Hotzel , E. -M. Ilgenfritz , R. Millo , Y. Nakamura , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We compare the mass spectra and string tensions of SU(2), SU(3) and SU(4) gauge theories in 2+1 dimensions. We find that the ratios of masses are, to a first approximation, independent of N and that the remaining dependence can be…

High Energy Physics - Lattice · Physics 2009-10-30 M. Teper

The effective string describing the large distance behaviour of the quark sources of gauge field theories in the confining phase in D=3 or D=4 space-time dimensions can be formulated, in the infrared limit, as a suitable 2D conformal field…

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

We define smoothed Wilson loop operators on a four dimensional lattice and check numerically that they have a finite and nontrivial continuum limit. The continuum operators maintain their character as unitary matrices and undergo a phase…

High Energy Physics - Theory · Physics 2009-11-11 R. Narayanan , H. Neuberger

We propose a duality between the large-N gauged harmonic oscillator and a novel string theory in two dimensions.

High Energy Physics - Theory · Physics 2009-11-10 Nissan Itzhaki , John McGreevy

Continuum reduction and Monte Carlo simulation are used to calculate the heavy quark potential and the string tension in large N Yang-Mills theory in four dimensions. The potential is calculated out to a separation of nine lattice units on…

High Energy Physics - Lattice · Physics 2010-04-30 Joe Kiskis , Rajamani Narayanan

I summarise what lattice methods can contribute to our understanding of the phenomenology of QCD at large Nc and describe some recent work on the physics of SU(Nc) gauge theories. These non-perturbative calculations show that there is…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Teper

We discuss Wilson loop averages in 4-dimensional non-commutative superYang-Mills theory using the dual supergravity description. We postulate that the Wilson loops are located at the mimimum length scale $R$ in the fifth radial coordinate.…

High Energy Physics - Theory · Physics 2009-10-31 A. Dhar , Y. Kitazawa

In this paper we present our results concerning the dependence of Wilson loop expectation values on the size of the lattice and the rank of the SU(N) gauge group. This allows to test the claims about volume independence in the large N…

High Energy Physics - Lattice · Physics 2015-06-23 Antonio Gonzalez-Arroyo , Masanori Okawa

Inspired by a possible relation between large $N$ gauge theory and string theory, we search for nontrivial fixed points in large $N$ gauge theory in more than four dimensions. We study large $N$ gauge theory through Monte Carlo simulation…

High Energy Physics - Lattice · Physics 2015-06-25 Jun Nishimura

We calculate energies and tensions of closed k-strings in (2+1)-dimensional SU(N) gauge theories with N=4,5,6,8. When we study the dependence of the ground state energy on the string length, we find that it is well described by a Nambu-Goto…

High Energy Physics - Lattice · Physics 2008-11-26 Barak Bringoltz , Michael Teper

Lattice Gauge theories have been studied in the physics literature as discrete approximations to quantum Yang-Mills theory for a long time. Primary statistics of interest in these models are expectations of the so called "Wilson loop…

Probability · Mathematics 2017-08-14 Riddhipratim Basu , Shirshendu Ganguly

I propose a class of D\geq{2} lattice SU(N) gauge theories dual to certain vector models endowed with the local [U(N)]^{D} conjugation-invariance and Z_{N} gauge symmetry. In the latter models, both the partitition function and Wilson loop…

High Energy Physics - Theory · Physics 2007-05-23 Andrey Dubin

We calculate in the SU(6) gauge theory the mass of the lightest flux loop that winds around a spatial torus, as a function of the torus size, taking care to achieve control of the main systematic errors. For comparison we perform a similar…

High Energy Physics - Lattice · Physics 2008-11-26 Harvey Meyer , Michael Teper

Flux-tubes in different representations of SU(2) and U(1) lattice gauge theories in three dimensions are measured. Wilson loops generate heavy ``quark-antiquark'' pairs in fundamental ($j=1/2$), adjoint ($j=1$), and quartet ($j=3/2$)…

High Energy Physics - Lattice · Physics 2009-10-22 Howard D. Trottier , R. M. Woloshyn