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Related papers: Static quark potential and string tension for comp…

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Path Integral Monte Carlo simulations have been performed for U(1) lattice gauge theory in (2+1) dimensions on anisotropic lattices. We extractthe static quark potential, the string tension and the low-lying "glueball" spectrum.The…

High Energy Physics - Lattice · Physics 2009-11-07 Mushtaq Loan , Michael Brunner , Clare Sloggett , Chris Hamer

We study the scaling properties of the static quark potential and the ratio of the critical temperature $T_c$ to the square root of the string tension $\sigma$ in the SU(3) pure gauge theory using a renormalization group improved action. We…

High Energy Physics - Lattice · Physics 2016-08-15 Y. Iwasaki , K. Kanaya , T. Kaneko , T. Yoshié

A comprehensive analysis of the Symanzik improved anisotropic three-dimensional U(1) lattice gauge theory in the Hamiltonian limit is made. Monte Carlo techniques are used to obtain numerical results for the static potential, ratio of the…

High Energy Physics - Lattice · Physics 2009-11-10 Mushtaq Loan , Chris Hamer

We study the scaling property of the ratio of the critical temperature $T_c$ to the square root of the string tension $\sigma$ in the SU(3) pure gauge theory using a renormalization group improved action. We first determine the critical…

High Energy Physics - Lattice · Physics 2016-08-15 Y. Iwasaki , K. Kanaya , T. Kaneko , T. Yoshié

A numerical study of low-lying glueball masses of compact U(1) lattice gauge theory in (2+1) dimensions is performed using Standard Path integral Monte Carlo techniques. The masses are extracted, at fixed (low) temperature, from simulations…

High Energy Physics - Lattice · Physics 2007-05-23 Mushtaq Loan , Michael Brunner , Chris Hamer

We have applied a new gauge-invariant, noncompact, Monte Carlo method to simulate the $U(1)$, $SU(2)$, and $SU(3)$ gauge theories on $8^4$ and $12^4$ lattices. The Creutz ratios of the Wilson loops agree with the exact results for $U(1)$…

High Energy Physics - Lattice · Physics 2009-10-28 Kevin Cahill , Gary Herling

Using a new type of simulation algorithm for the standard SU(3) lattice gauge theory that yields results with unprecedented precision, we confirm the presence of a $\gamma/r$ correction to the static quark potential at large distances $r$,…

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

We measure accurate values of the inter-quark potentials on a $48^{3}56$ lattice with SU(2) pure gauge theory at $ \beta =2.85$. The scale is set by extracting the string tension - we obtain ${\sqrt K}a=0.063(3)$ at $\beta =2.85.$ From a…

High Energy Physics - Lattice · Physics 2011-02-19 The UKQCD Collaboration , S. P. Booth , A. Hulsebos , A. C. Irving , A. McKerrell , C. Michael , P. S. Spencer , P. W. Stephenson

The scaling behavior of pure gauge SU(3) in the region $\beta=5.85 - 7.60$ is examined by a Monte Carlo Renormalization Group analysis. The coupling shifts induced by factor 2 blocking are measured both on 32$^4$ and 16$^4$ lattices with…

The long range properties of four-dimensional compact U(1) lattice gauge theory with the Wilson action in the confinement phase is studied by using the multi-level algorithm. The static potential, force and flux-tube profile between two…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshiaki Koma , Miho Koma , Pushan Majumdar

The Numerical calculations for tadpole-improved U(1) lattice gauge theory in three-dimensions on anisotropic lattices have been performed using standard path integral Monte Carlo techniques. Using average plaquette tadpole renormalization…

High Energy Physics - Lattice · Physics 2009-11-10 Mushtaq Loan , Tim Byrnes , Chris Hamer

We demonstrate that the quantized U(1) lattice gauge theory in four Euclidean dimensions can be obtained as the long time limit of the corresponding classical U(1) gauge theory in 4+1 dimensions. The Planck constant hbar is related to the…

High Energy Physics - Lattice · Physics 2007-05-23 Tamas S. Biro , Berndt Muller

We report on a very accurate measurement of the static quark potential in SU(2) Yang-Mills theory in (2+1) dimensions in order to study the corrections to the linear behaviour. We perform numerical simulations at zero and finite temperature…

High Energy Physics - Lattice · Physics 2010-02-03 M. Caselle , M. Pepe , A. Rago

We calculate the static quark potential for an SU(N) gauge theory in the Maximal Abelian gauge as well as its Abelian projection up to two loops in perturbation theory. We discuss its renormalization properties. The result is compared with…

High Energy Physics - Phenomenology · Physics 2019-10-18 Matthias Berwein , Yukinari Sumino

We have applied a new noncompact, gauge-invariant, Monte Carlo method to simulate the U(1), SU(2), and SU(3) gauge theories on 8^4 and 12^4 lattices. For U(1) the Creutz ratios of the Wilson loops agree with the exact results for beta > 0.5…

High Energy Physics - Lattice · Physics 2009-10-31 Kevin Cahill , Gary Herling

We investigate the scaling behaviour of gauge-ball masses and static potential in the pure U(1) lattice gauge theory on toroidal lattices. An extended gauge field action $-\sum_P(\beta \cos\Theta_P + \gamma \cos2\Theta_P)$ is used with…

High Energy Physics - Lattice · Physics 2009-10-30 J. Cox , W. Franzki , J. Jersak , C. B. Lang , T. Neuhaus , A. Seyfried , P. W. Stephenson

We calculate the low-lying spectra of glueballs and confining flux tubes in the U(1) lattice gauge theory in 2+1 dimensions. We see that up to modest lattice spacing corrections, the glueball states are consistent with being multiparticle…

High Energy Physics - Lattice · Physics 2019-01-30 Andreas Athenodorou , Michael Teper

Static quark potential is studied using a tadpole improved gauge lattice action. The scale is set using the potential for a wide range of bare parameters. The renormalized anisotropy of the lattice is also measured.

High Energy Physics - Lattice · Physics 2016-09-01 Wei Liu , Ying Chen , Ming Gong , Xin Li , Chuan Liu , Guozhan Meng

The Hamiltonian limit of lattice gauge theories can be found by extrapolating the results of anisotropic lattice computations, i.e., computations using lattice actions with different temporal and spatial lattice spacings ($a_t\neq a_s$), to…

High Energy Physics - Lattice · Physics 2022-12-20 L. Funcke , C. F. Groß , K. Jansen , S. Kühn , S. Romiti , C. Urbach

We study SU(3) gauge theory on small lattices in the minimal (qutrit) electric field truncation retaining only the ${\bf 1}, {\bf 3}, {\bf \overline{3}}$ representations for the link variables. Explicit expressions are given for the…

High Energy Physics - Lattice · Physics 2026-01-16 Vincent Chen , Berndt Müller , Xiaojun Yao
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