The confined-deconfined interface tension in quenched QCD using the histogram method

Abstract

We present results for the confinement-deconfinement interface tension σ cd of quenched QCD. They were obtained by applying Binder's histogram method to lattices of size L 2 × L z × L t for L t = 2 and L = 8, 10, 12 and 14 and various L z ∈ [L, 4 L]. The use of a multicanonical algorithm and rectangular geometries have turned out to be crucial for the numerical studies. We also give an estimate for σ cd at L t = 4 using published data.

Multicanonical recursions

“…identity [14] of (15a) and (14a) follows from (10). Obviously (15a) is a convenient intermediate step to derive (14a).…”

“…For first order phase transitions the problem of the a-priori unknown weight factor is rather elegantly overcome by means of finite size scaling (FSS) methods [1,9,10,12,20].…”

“…Recently Monte Carlo (MC) sampling with respect to unconventional ensembles has received some attention [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In the multicanonical ensemble [1,5] one samples configurations such that exact reconstruction of canonical expectation values becomes feasible for a desired temperature range.…”

Analysis of pion elliptic flow and Hanbury-Brown–Twiss interferometry in a granular quark-gluon plasma droplet model

“…In quenched QCD lattice gauge calculations, the surface tension coefficient σ(T c ) has been calculated for T = T c , and σ(T c )/T 3 c was found to range from 0.016 to 0.092 [50,51,52,53]. If we use such a value of the surface tension coefficient to evaluate the granular stability number a using Eq.…”

“…Because the QGP is a strongly interacting dense medium, a surface tension arises at a boundary due to the presence of a strong interaction in the dense phase on one side of the boundary and the absence (or weakening) of the strong interaction with no density (or diminishing density) on the other side [46,47,48,49,50,51,52,53]. This imbalance of the forces acting on different parts at the boundary leads to the surface tension, while the detail profile of the boundary may depend on the nature and the order of phase transition.…”