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We present here the results of our high accuracy simulations of $q\bar q$ potential in $d=4$ SU(3) Yang-Mills theory. We measure this quantity by measuring the {\it Polyakov Loop Correlators} using the {\it exponential variance reduction…

High Energy Physics - Lattice · Physics 2007-05-23 N. D. Hari Dass , Pushan Majumdar

We consider the determination of the finite temperature phase transition in the Yang--Mills SU(3) gauge theory. We compute the difference of the spatial and temporal energy density at a physical Wilson flow time. This difference is zero in…

High Energy Physics - Lattice · Physics 2016-11-23 Michèle Wandelt , Francesco Knechtli , Michael Günther

Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of finite-temperature $SU(2)$ QCD in the maximally abelian gauge. The string tension is reproduced by monopole contribution alone also in…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

We employ a heat kernel expansion to derive an effective action that describes four dimensional SU(2) Yang-Mills theory in the infrared limit. Our result supports the proposal that at large distances the theory is approximated by the…

High Energy Physics - Theory · Physics 2008-11-26 Edwin Langmann , Antti J. Niemi

We review, in a self-contained and pedagogical manner, recent developments and techniques for the evaluation of the scattering amplitudes of planar N=4 SYM theory at both weak and strong coupling. Special emphasis is placed on the newly…

High Energy Physics - Theory · Physics 2009-11-13 Luis F. Alday , Radu Roiban

Quantization of two-dimensional Yang-Mills theory on a torus in the gauge where the field strength is diagonal leads to twisted sectors that are completely analogous to the ones that originate long string states in Matrix String Theory. If…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'Adda , P. Provero

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 compute L\"uscher corrections to the effective string tension in the Pilch-Warner background, holographically dual to $\mathcal{N}=2^*$ supersymmetric Yang-Mills theory. The same quantity can be calculated directly from field theory by…

High Energy Physics - Theory · Physics 2017-05-24 Xinyi Chen-Lin , Daniel Medina-Rincon , Konstantin Zarembo

We obtain concise analytic formulae for Wilson loops computed on special n-point polygonal contours through two-loops in weakly coupled N=4 supersymmetric gauge theory. The contours we consider can be embedded into a (1+1)-dimensional…

High Energy Physics - Theory · Physics 2010-11-15 Paul Heslop , Valentin V. Khoze

We report on a high precision Montecarlo test of the three dimensional Ising gauge model at finite temperature. The string tension $\sigma$ is extracted from the expectation values of correlations of Polyakov lines. Agreement with the…

High Energy Physics - Lattice · Physics 2015-06-25 M. Caselle , R. Fiore , F. Gliozzi , S. Vinti

We investigate the static potential in the confinement phase of the SU(2) Higgs model on the lattice, where this model is expected to have properties similar to QCD. We observe that Wilson loops are inadequate to determine the potential at…

High Energy Physics - Lattice · Physics 2009-10-31 Francesco Knechtli , Rainer Sommer

We consider large Wilson loops with quarks in higher representations in SU(N) Yang-Mills theories. We consider representations with common N-ality and check whether the expectation value of the Wilson loop depends on the specific…

High Energy Physics - Theory · Physics 2009-11-11 Adi Armoni , Biagio Lucini

Pure Yang-Mills theory in 2 spacetime dimensions shows exact Casimir scaling. Thus there are infinitely many string tensions, and this has been understood as a result of non-propagating gluons in 2 dimensions. From ordinary symmetry…

High Energy Physics - Theory · Physics 2021-09-06 Mendel Nguyen , Yuya Tanizaki , Mithat Ünsal

The density profile of the QCD flux tube is investigated within the framework of the L\"uscher-Weisz (LW) string action with two boundary terms. The transverse action profile and potential between static quarks are considered using Wilson's…

High Energy Physics - Theory · Physics 2023-08-04 M. N. Khalil , A. M. Khalaf , A. S. Bakry , M. Deliyergiyev , A. A. Galal , M. Kotb , M. D. Okasha , G. S. M. Ahmed

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

The static QCD force from the lattice can be used to extract $\Lambda_{\overline{\textrm{MS}}}$, which determines the running of the strong coupling. Usually, this is done with a numerical derivative of the static potential. However, this…

High Energy Physics - Lattice · Physics 2024-09-09 Nora Brambilla , Viljami Leino , Julian Mayer-Steudte , Antonio Vairo

We present a new, two-parameter family of string solutions corresponding to the holographic duals of specific 1/8-BPS Wilson loops on S^2 in N = 4 supersymmetric Yang-Mills theory. The solutions are obtained using the dressing method on the…

High Energy Physics - Theory · Physics 2011-08-09 Chrysostomos Kalousios , Donovan Young

Motivated by understanding the scattering of gravitons and their superpartners from extended $(p, q)$-strings in type IIB string theory via AdS/CFT, we study an integrated two-point function of stress tensor multiplet operators in the…

High Energy Physics - Theory · Physics 2023-05-16 Silviu S. Pufu , Victor A. Rodriguez , Yifan Wang

We determine the critical couplings and the critical exponents of the finite temperature transition in SU(2) and SU(3) pure gauge theory in (2+1) dimensions. We also measure Wilson loops at $T=0$ on a wide range of $\beta$ values using APE…

High Energy Physics - Lattice · Physics 2009-10-28 J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Lütgemeier , B. Petersson , T. Scheideler

We present the numerical equivalence between the Wilson flow and stout-link smearing, both of which are known to be a relatively new technique for smoothing the gauge fields on the lattice. Although the conceptional correspondence between…

High Energy Physics - Lattice · Physics 2023-11-28 Masato Nagatsuka , Keita Sakai , Shoichi Sasaki