A new computation of the correlation length near the deconfining transition in SU(3 (original) (raw)

Correlation length and order of the deconfining phase transition

Physical Review Letters, 1989

We analyze SU(2) and SU(3) lattice gauge theory on L, XL2~l attices (L,~L) By P,. we denote the critical coupling at L =~. In the neighborhood of the deconfining phase transition, at appropriately defined coupling constants p(L, L'), L & L' [with p(L, L') p, for L'~] , the correlation length g scales-L/L' for secondand first order transitions (g =1/Ei with Ei the energy of one unit of 't Hooft electric fiux). Linearization around the couplings P(L, L') allows the calculation of critical exponents. Numerical results (L, =4) support a second-order transition for SU(2), but not for SU(3).

Nature of the Deconfining Phase Transition in SU(3) Lattice Gauge Theory

Physical Review Letters, 1988

Monte Carlo calculations on lattices with large spatial volume show that the SU(3) deconfining phase transition is more weakly first order than previously thought. We have studied the transition for NT 4 and 6 on lattices of spatial volumes 16', 20, and 24. The 24 x4 calculations show a sharp first-order phase transition, yielding a latent heat AC/T of 2.54~0. 12. The 24'&6 calculations suffer greater finite-volume smearing, hut suggest that d, C/T4 2.48~0.24. Correlation lengths increase significantly near the transition, and the energy plus pressure of the ordered phase depends strongly on P.

The SU(3) deconfining phase transition with Symanzik action

Physics Letters B, 1994

We report on the determination of the deconfining temperature in SU (3) pure gauge theory, using the Symanzik tree level improved action, on lattices of size 3 × 12 3 , 4 × 16 3 , 5 × 20 3 , 6 × 24 3 . We find that the asymptotic scaling violation pattern is similar to the one observed using the Wilson action. We conclude that the irrelevant operators do not affect, in the range of couplings considered, the lattice β function. An analysis based on an effective coupling formulation shows an apparent improvement.

Properties of the deconfining phase transition in SU(N) gauge theories

2005

We extend our earlier investigation of the finite temperature deconfinement transition in SU(N) gauge theories, with the emphasis on what happens as N->oo. We calculate the latent heat in the continuum limit, and find the expected quadratic in N behaviour at large N. We confirm that the phase transition, which is second order for SU(2) and weakly first order for SU(3), becomes robustly first order for N>3 and strengthens as N increases. As an aside, we explain why the SU(2) specific heat shows no sign of any peak as T is varied across what is supposedly a second order phase transition. We calculate the effective string tension and electric gluon masses at T=Tc confirming the discontinuous nature of the transition for N>2. We explicitly show that the large-N `spatial' string tension does not vary with T for TTc it increases as T-squared to a good approximation, and the k-string tension ratios closely satisfy Casimir Scaling. Within very small errors, we find a single Tc at which all the k-strings deconfine, i.e. a step-by-step breaking of the relevant centre symmetry does not occur. We calculate the interface tension but are unable to distinguish between linear or quadratic in N variations, each of which can lead to a striking but different N=oo deconfinement scenario. We remark on the location of the bulk phase transition, which bounds the range of our large-N calculations on the strong coupling side, and within whose hysteresis some of our larger-N calculations are performed.

Non-equilibrium signals of the SU(3) deconfining phase transition

Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006), 2006

In SU(3) simulations with the model A (Glauber) dynamics we find unambiguous signal for the transition when the (driving) temperature T f is larger than T c. A dynamical growth of Polyakov loop structure factors, reaching maxima which scale approximately with the volume of the system, precedes equilibration. We study their influence on various observables, using different lattice sizes to illustrate an approach to a finite volume continuum limit. Strong correlations are found during the dynamical process, but not in the deconfined phase at equilibrium. Debye screening masses m D (T f) are estimated from initial response to the temperature change and found to be consistent with equilibrium estimates by Kaczmarek et al.

The deconfining phase transition in SU (< i> Nc) gauge theories

Nuclear Physics B-Proceedings Supplements, 2003

We report on our ongoing investigation of the deconfining phase transition in SU(4) and SU(6) gauge theories. We calculate the critical couplings while taking care to avoid the influence of a nearby bulk phase transition. We determine the latent heat of the phase transition and investigate the order and the strength of the transition at large Nc. We also report on our determination of the critical temperature expressed in units of the string tension in the large Nc limit.

SU(3) deconfining phase transition with finite volume corrections due to a confined exterior

Physical Review D, 2013

Using the geometry of a double-layered torus we investigate the deconfining phase transition of pure SU(3) lattice gauge theory by Markov chain Monte Carlo simulations. In one layer, called "outside", the temperature is set below the deconfining temperature and in the other, called "inside", it is iterated to a pseudo-transition temperature. Lattice sizes are chosen in a range suggested by the physical volumes achieved in relativistic heavy ion collisions and both temperatures are kept close enough to stay in the SU(3) scaling region, which is required for approaching a quantum continuum limit. Properties of the transition are studied as function of the volume for three outside temperatures. When compared with infinite volume extrapolations, small volume corrections of the deconfining temperature and width compete with those found by including quarks. Effective finite size scaling exponents of the specific heat and Polyakov loop susceptibilities are also calculated.

2 Spectral Density Study of the SU(3) Deconfining Phase Transition†

2016

We present spectral density reweighting techniques adapted to the analysis of a time series of data with a continuous range of allowed values. In a first application we analyze action and Polyakov line data from a Monte Carlo simulation on L t L 3 (L t = 2, 4) lattices for the SU(3) deconfining phase transition. We calculate partition function zeros, as well as maxima of the specific heat and of the order parameter susceptibility. Details and warnings are given concerning i) autocorrelations in computer time and ii) a reliable extraction of partition function †

Spectral density study of the SU(3) deconfining phase transition

Nuclear Physics B, 1992

We present spectral density reweighting techniques adapted to the analysis of a time series of data with a continuous range of allowed values. In a first application we analyze action and Polyakov line data from a Monte Carlo simulation on L t L 3 (L t = 2, 4) lattices for the SU(3) deconfining phase transition. We calculate partition function zeros, as well as maxima of the specific heat and of the order parameter susceptibility. Details and warnings are given concerning i) autocorrelations in computer time and ii) a reliable extraction of partition function † Submitted to Nuclear