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We determine the correlation between Polyakov loops in three dimensional SU(3) gauge theory in the confined region at finite temperature. For this purpose we perform lattice calculations for the number of steps in the temperature direction…

High Energy Physics - Lattice · Physics 2010-05-25 P. Bialas , L. Daniel , A. Morel , B. Petersson

We examine SU(2) gauge theory in 3+1 dimensions at finite temperature in the vicinity of critical point. For various lattice sizes in time direction ($N_\tau=1,2,4,8$) we extract high precision values of the inverse critical coupling and…

High Energy Physics - Lattice · Physics 2008-11-26 Alexander Velytsky

We study the effective bosonic string that describes confining flux tubes in three-dimensional SU(N) Yang--Mills theories. Although the low-energy properties are universal and well described by the Nambu--Got\=o action, the subtle…

High Energy Physics - Lattice · Physics 2024-12-20 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

We carry out a systematic study of the effective bosonic string describing confining flux tubes in $\mathrm{SU}(N)$ Yang--Mills theories in three spacetime dimensions. While their low-energy properties are known to be universal and are…

High Energy Physics - Lattice · Physics 2024-09-04 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

Through a detailed investigation of the $SU(3)$ gauge theory at finite temperature on lattices of various size we can control finite lattice cut-off effects in bulk thermodynamic quantities. We calculate the pressure and energy density of…

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

We perform an analytical and numerical study of the phase transitions in three-dimensional Z(N) lattice gauge theories at finite temperature for N>4 exploiting equivalence of these models with a generalized version of the two-dimensional…

High Energy Physics - Lattice · Physics 2015-06-05 O. Borisenko , V. Chelnokov , G. Cortese , R. Fiore , M. Gravina , A. Papa , I. Surzhikov

We establish a close relation between the spatial string tension of the (3+1)-dimensional $SU(3)$ gauge theory at finite temperature ($\sigma_s$) and the string tension of the 3-dimensional $SU(3)$ gauge theory ($\sigma_3$) which is similar…

High Energy Physics - Lattice · Physics 2009-10-22 F. ~Karsch , E. Laermann , M. Lütgemeier

We study the Z(2) lattice gauge theory in three dimensions, and present high precision estimates for the first few energy levels of the string spectrum. These results are obtained from new numerical data for the two-point Polyakov loop…

High Energy Physics - Lattice · Physics 2009-02-07 Michele Caselle , Martin Hasenbusch , Marco Panero

It is shown that $SO(3)$ lattice gauge theory on finite size lattices has metastable states related to the ground states of both the bulk transition and the finite temperature transition. The Polyakov line variable in the adjoint…

High Energy Physics - Lattice · Physics 2007-05-23 Srinath Cheluvaraja , H. S. Sharathchandra

Three-dimensional $Z(N)$ lattice gauge theories are studied numerically at finite temperature for $N$ = 5, 6, 8, 12, 13, 20 and for $N_t$=2,4,8. For each model the location of phase transitions and its critical indices are determined. The…

High Energy Physics - Lattice · Physics 2014-10-06 Oleg Borisenko , Volodymyr Chelnokov , Mario Gravina , Alessandro Papa

The three-dimensional U(1) gauge theory displays a peculiar form of confinement which does not fit in the standard paradigm of effective string theory. In this work, we report results of numerical computations of the ground state energy of…

High Energy Physics - Lattice · Physics 2025-09-30 M. Caselle , A. Mariani

The pressure and the energy density of the $SU(3)$ gauge theory are calculated on lattices with temporal extent $N_\tau = 4$, 6 and 8 and spatial extent $N_\sigma =16$ and 32. The results are then extrapolated to the continuum limit. In the…

High Energy Physics - Lattice · Physics 2009-10-28 G. Boyd , J. Engels , F. Karsch , E. Laermann , C. Legeland , M. Luetgemeier , B. Petersson

Critical properties of the compact three-dimensional U(1) lattice gauge theory are explored at finite temperatures on an asymmetric lattice. For vanishing value of the spatial gauge coupling one obtains an effective two-dimensional spin…

High Energy Physics - Lattice · Physics 2011-02-14 Oleg Borisenko , Mario Gravina , Alessandro Papa

We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at finite temperature by Monte Carlo simulations. We find that the finite temperature deconfinement phase transition line joins the first order bulk phase…

High Energy Physics - Lattice · Physics 2009-10-22 Rajiv V. Gavai , Michael Grady , Manu Mathur

The dynamic relaxation process for the (2+1)--dimensional SU(2) lattice gauge theory at critical temperature is investigated with Monte Carlo methods. The critical initial increase of the Polyakov loop is observed. The dynamic exponents…

Soft Condensed Matter · Physics 2009-10-30 K. Okano , L. Schuelke , B. Zheng

We analyze the phase structure of $SU(\infty)$ gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2017-12-25 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

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

We study numerically three-dimensional Z(N) lattice gauge theories at finite temperature, for N = 5, 6, 8, 12, 13 and 20 on lattices with temporal extension $N_t$ = 2, 4, 8. For each model, we locate phase transition points and determine…

High Energy Physics - Lattice · Physics 2015-06-22 Oleg Borisenko , Volodymyr Chelnokov , Mario Gravina , Alessandro Papa

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 further evidence for the bulk nature of the phase transition line in the fundamental--adjoint action plane of SU(3) lattice gauge theory. Computing the string tension and some glueball masses along the thermal phase transition…

High Energy Physics - Lattice · Physics 2009-10-28 Urs M. Heller
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