First-order chiral phase transition with a realistic current-quark spectrum

1988 ◽  
Vol 37 (5) ◽  
pp. 1343-1346 ◽  
Author(s):  
R. V. Gavai ◽  
J. Potvin ◽  
S. Sanielevici
Keyword(s):  
Phase Transition ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
First Order ◽  
Current Quark

scholarly journals On the order of the QCD chiral phase transition for different numbers of quark flavours

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Francesca Cuteri ◽  
Owe Philipsen ◽  
Alessandro Sciarra
Keyword(s):  
Phase Transition ◽  
Parameter Space ◽  
Chiral Limit ◽  
Lattice Parameter ◽  
Second Order ◽  
Critical Surface ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
First Order ◽  
The Continuum

Abstract The nature of the QCD chiral phase transition in the limit of vanishing quark masses has remained elusive for a long time, since it cannot be simulated directly on the lattice and is strongly cutoff-dependent. We report on a comprehensive ongoing study using unimproved staggered fermions with Nf ∈ [2, 8] mass-degenerate flavours on Nτ ∈ {4, 6, 8} lattices, in which we locate the chiral critical surface separating regions with first-order transitions from crossover regions in the bare parameter space of the lattice theory. Employing the fact that it terminates in a tricritical line, this surface can be extrapolated to the chiral limit using tricritical scaling with known exponents. Knowing the order of the transitions in the lattice parameter space, conclusions for approaching the continuum chiral limit in the proper order can be drawn. While a narrow first-order region cannot be ruled out, we find initial evidence consistent with a second-order chiral transition in all massless theories with Nf ≤ 6, and possibly up to the onset of the conformal window at 9 ≲ $$ {N}_{\mathrm{f}}^{\ast } $$ N f ∗ ≲ 12. A reanalysis of already published $$ \mathcal{O} $$ O (a)-improved Nf = 3 Wilson data on Nτ ∈ [4, 12] is also consistent with tricritical scaling, and the associated change from first to second-order on the way to the continuum chiral limit. We discuss a modified Columbia plot and a phase diagram for many-flavour QCD that reflect these possible features.

scholarly journals DENSITY FLUCTUATIONS AND A FIRST-ORDER CHIRAL PHASE TRANSITION IN NON-EQUILIBRIUM

2008 ◽  
Vol 23 (27n30) ◽  
pp. 2469-2472 ◽  
Author(s):  
CHIHIRO SASAKI ◽  
BENGT FRIMAN ◽  
KRZYSZTOF REDLICH
Keyword(s):  
Phase Transition ◽  
Mean Field ◽  
Field Approximation ◽  
Density Fluctuations ◽  
Mean Field Approximation ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
First Order ◽  
The Mean ◽  
Non Equilibrium

The thermodynamics of a first-order chiral phase transition is considered in the presence of spinodal phase separation using the Nambu-Jona-Lasinio model in the mean field approximation. We focus on the behavior of conserved charge fluctuations. We show that in non-equilibrium the specific heat and charge susceptibilities diverge as the system crosses the isothermal spinodal lines.

scholarly journals Restoration of chiral symmetry in cold and dense Nambu-Jona-Lasinio model with tensor renormalization group

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Shinichiro Akiyama ◽  
Yoshinobu Kuramashi ◽  
Takumi Yamashita ◽  
Yusuke Yoshimura
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Chiral Symmetry ◽  
Chiral Condensate ◽  
Dense Region ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
First Order ◽  
Anisotropic Tensor ◽  
Fermion Action

Abstract We analyze the chiral phase transition of the Nambu-Jona-Lasinio model in the cold and dense region on the lattice, developing the Grassmann version of the anisotropic tensor renormalization group algorithm. The model is formulated with the Kogut-Susskind fermion action. We use the chiral condensate as an order parameter to investigate the restoration of the chiral symmetry. The first-order chiral phase transition is clearly observed in the dense region at vanishing temperature with μ/T ∼ O(103) on a large volume of V = 10244. We also present the results for the equation of state.

scholarly journals First-order chiral phase transition in lattice QCD

1987 ◽  
Vol 188 (3) ◽  
pp. 353-358 ◽  
Author(s):  
F. Karsch ◽  
J.B. Kogut ◽  
D.K. Sinclair ◽  
H.W. Wyld
Keyword(s):  
Phase Transition ◽  
Lattice Qcd ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
First Order
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