Order of the Deconfining Phase Transition in Pure-Gauge QCD

Bacilieri, P.; Remiddi, E.; Todesco, Gian Marco; Bernashchi, M.; Cabasino, S.; Cabibbo, N.; Fernández, L.A.; Marinari, Enzo; Paolucci, P.; Parisi, Giorgio; Salina, G.; Tarancón, A.; Coppola, Fabrizio; Lombardo, Maria Paola; Simeone, E.; Tripiccione, R.; Fiorentini, G.; Lai, A.; Marchesini, P.; Marzano, F.; Rapuano, F.; Tross, W.

doi:10.1103/physrevlett.61.1545

Cited by 118 publications

(68 citation statements)

References 12 publications

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“…A concurrent study of the correlation length ~, on the other hand, yielded a linear scaling of the correlation length at T c with the (transverse) size L of the lattice, i.e. ~(T~)-L [3,4]. This suggests that ~(Tc) diverges in the infinite volume limit, which has been taken as an indication for a possible second-order phase transition.…”

Section: Introductionmentioning

confidence: 93%

“…The product is over sites of the three-dimensional lattice and the summation over pairs of nearest neighbours. The SU(3) matrix W i appearing in the action is the Polyakov loop in the original gauge action and the measure is, as usual, the Haar measure on SU (3). Note that the Z 3 invariance of the original SU(3) gauge theory action has been preserved, and that the interaction is short-ranged and ferromag-netic (/3 > 0).…”

Section: ¢21)mentioning

confidence: 99%

“…where gi is any element of SU (3). Through such transformations, we can always restrict tr W~ to the maximal abelian subgroup (U(1) X U(1)) of SU (3) tr W, = (e i°,, + e i°,2 + e `°,,) (0,3 = --Oil --el2 ) .…”

Section: ¢21)mentioning

confidence: 99%

“…Another main aim of this paper is to study in detail the behaviour of the correlation length on asymmetric lattices with and without a cold wall. The study is intended to be very similar to the one made for SU(3) [3,4]. On an asymmetric lattice of size L ~ × L z with L z >> L, we measure the correlations of spin operators averaged over transverse planes.…”

Section: Introductionmentioning

confidence: 99%

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The correlation lengths and the order of the phase transition in three-dimensional Z3 symmetric models

et al. 1990

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We present a high statistics Monte Carlo investigation of three-dimensional Z 3 symmetric models, which are related to SU(3) pure gauge theory at finite temperature. From the finite size scaling behaviour of bulk properties and the existence of metastable states, we conclude that these models exhibit a first-order phase transition. We have also performed detailed correlation length measurements in a cylindrical geometry with periodic boundary conditions as well as with a cold wall in the longitudinal direction. The correlation length, which appears to be independent of the boundary" conditions, becomes very large near the critical point. Nonetheless, our data suggest that the correlation length develops a discontinuity at the critical point in the infinite volume limit.

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Section: Introductionmentioning

confidence: 93%

Section: ¢21)mentioning

confidence: 99%

Section: ¢21)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The correlation lengths and the order of the phase transition in three-dimensional Z3 symmetric models

et al. 1990

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“…Now I turn to the question of its behavior near the critical temperature. I review Lattice results on the order of the phase transition for two [20], three [21], and four [17] colors, and then ask what constraints it places on the mean field theory for Polyakov loops. Up to this point, I have only considered the trace of the thermal Wilson line in the fundamental represenation, which is the the Polyakov loop ℓ.…”

Section: Polyakov Loops and Quarkless Baryonsmentioning

confidence: 99%

Notes on the Deconfining Phase Transition

Pisarski

2002

QCD Perspectives on Hot and Dense Matter

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OverviewIn these lectures I review the deconfining phase transition in a "pure" SU (N ) gauge theory, without dynamical quarks. Gauge theories are ubiquitous in physics, so their phase transitions are manifestly of fundamental importance. Two examples may include the collisions of large nuclei at high energy and the early universe.The phase transitions of gauge theories without quarks are of especial interest, since then the order parameter, and many other aspects of the phase transition, can be characterized precisely [1,2,3]. While of course QCD includes quarks, this is not an academic exercise. Recent results from the Lattice on "flavor independence" -for both the pressure [4,5] and quark susceptibilities [6] -suggest that the results from the pure glue theory may be, in a surprising and unexpected fashion, relevant for QCD. (Whether flavor independence can be generalized when there are many light flavors is not known.)Albeit indirectly, the Lattice has already told us much about what happens in a pure gauge theory with three colors. By asymptotic freedom, at infinite 1

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Recent Results from Lattice QCD

Fingberg

1994

NATO ASI Series

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Order of the Deconfining Phase Transition in Pure-Gauge QCD

Cited by 118 publications

References 12 publications

The correlation lengths and the order of the phase transition in three-dimensional Z3 symmetric models

The correlation lengths and the order of the phase transition in three-dimensional Z3 symmetric models

Notes on the Deconfining Phase Transition

Recent Results from Lattice QCD

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