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Related papers: Testing Dimensional Reduction in SU(2) Gauge Theor…

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We study the phase diagram of five-dimensional SU(2) gauge theories on anisotropic lattices with periodic boundary conditions. We locate a line of first order bulk phase transitions and second order phase transitions related to breaking of…

High Energy Physics - Lattice · Physics 2011-11-04 Francesco Knechtli , Antonio Rago

We study the SO(3) lattice gauge theory in 3+1 dimensions with the adjoint Wilson action modified by a $\mathbb{Z}_2$ monopole suppression term and by means of the Pisa disorder operator. We find evidence for a finite temperature…

High Energy Physics - Lattice · Physics 2008-11-26 A. Barresi , G. Burgio , M. D'Elia , M. Mueller-Preussker

We outline the steps in a derivation of the statement that the SU(2) gauge theory is in a confining phase for all values of the coupling, $0 < \beta <\infty$, defined at lattice spacing a. The approach employed is to obtain both upper and…

High Energy Physics - Lattice · Physics 2009-11-10 E. T. Tomboulis

The lattice data for the energy density of $SU(2)$ gauge theory are calculated with \nop~derivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the \nop~beta function in accord with…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , F. Karsch , K. Redlich

We test the eigenstate thermalization hypothesis (ETH) for 2+1 dimensional SU(2) lattice gauge theory. By considering the theory on a chain of plaquettes and truncating basis states for link variables at $j=1/2$, we can map it onto a…

High Energy Physics - Lattice · Physics 2023-08-22 Xiaojun Yao

The pressure, and the energy and entropy densities are determined for the SU(3) gauge theory in $2 + 1$ dimensions from lattice Monte Carlo calculations in the interval $0.6 \leq T/T_c \leq 15$. The finite temperature lattices simulated…

High Energy Physics - Lattice · Physics 2008-11-26 P. Bialas , L. Daniel , A. Morel , B. Petersson

We derive and analyze the perturbation series for the classical effective action in quantum statistical mechanics, treated as a toy model for the dimensionally reduced effective action in quantum field theory at finite temperature. The…

High Energy Physics - Theory · Physics 2007-05-23 C. A. A. de Carvalho , R. M. Cavalcanti

We discuss the effective string picture for the confining regime of lattice gauge theories at zero and finite temperature. We present results of extensive Monte Carlo simulations - performed with the Luscher and Weisz algorithm - for SU(2)…

High Energy Physics - Lattice · Physics 2009-11-10 M. Caselle , M. Pepe , A. Rago

We introduce a method to investigate the static and dynamic properties of both Abelian and non-Abelian lattice gauge models in 1+1 dimensions. Specifically, we identify a set of transformations that disentangle different degrees of freedom,…

High Energy Physics - Lattice · Physics 2018-09-27 P. Sala , T. Shi , S. Kühn , M. C. Bañuls , E. Demler , J. I. Cirac

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

Real-time classical SU($N$) gauge theories at non-zero temperature contain linear divergences. We introduce counterterms for these divergences in the equations of motion in the continuum and on the lattice. These counterterms can be given…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. J. Nauta

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 formulate the rules for dimensional reduction of a generic finite temperature gauge theory to a simpler three-dimensional effective bosonic theory in terms of a matching of Green's functions in the full and the effective theory, and…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

We summarise what lattice simulations have to say about the physical properties of continuum SU(N) gauge theories in 3+1 dimensions. The quantities covered are: the glueball mass spectrum, the confining string tension, the temperature at…

High Energy Physics - Theory · Physics 2007-05-23 Michael Teper

We calculate the one loop effective potential for a 5D SU(2) gauge field theory at finite temperature $T=1/\beta$ and radius R=1/M. This calculation is performed, for the first time, in the case of background fields with two constant…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Farakos , P. Pasipoularides

Using an effective theory for an ensemble of center vortices, we observe the area law fall-off in the continuum limit for the SU($2$) gauge group in three-dimensional Euclidean space-time. The string tension is obtained in terms of the…

High Energy Physics - Phenomenology · Physics 2025-06-12 Zahra Asmaee , Motahareh Kiamari , Sedigheh Deldar

All-order strong coupling simulations have been used to derive precise energies of string states in the confined phase of three dimensional Z(2) lattice gauge theory. The behavior of the ground state energy is here compared with predictions…

High Energy Physics - Lattice · Physics 2013-09-06 Tomasz Korzec , Ulli Wolff

We study the deconfining transition of SU(N) gauge theories in 2+1 dimensions for N ranging between N=2 and N=8. We confirm that the transition is second order for N<4 and first order for N>4. For the more delicate case of SU(4) all our…

High Energy Physics - Lattice · Physics 2008-03-17 Jack Liddle , Michael Teper

We study dynamical gauge symmetry breaking via compactified space in the framework of SU(N) gauge theory in M^{d-1}\times S^1 (d=4,5,6) space-time. In particular, we study in detail the gauge symmetry breaking in SU(2) and SU(3) gauge…

High Energy Physics - Theory · Physics 2008-11-26 Hisaki Hatanaka

We study the three-dimensional SU(2) lattice gauge theory at finite temperature using an observable which is dual to the Wilson line. This observable displays a behaviour which is the reverse of that seen for the Wilson line. It is non-zero…

High Energy Physics - Lattice · Physics 2009-10-30 Srinath Cheluvaraja