scholarly journals Is there a third-order phase transition in quenched QCD?

2005 ◽  
Author(s):  
Yannick Meurice ◽  
L. Li
2004 ◽  
Vol 19 (13) ◽  
pp. 2123-2130
Author(s):  
Kh. SAAIDI

The large-group behavior of the nonlocal two-dimensional generalized Yang–Mills theories ( nlgYM 2's) on arbitrary closed non-orientable surfaces is investigated. It is shown that all order of ϕ2k model of these theories has third order phase transition only on the projective plane (RP2). Also the phase structure of [Formula: see text] model of nlgYM 2 is studied and it is found that for γ>0, this model has third order phase transition only on RP 2. For γ<0, it has third order phase transition on any closed non-orientable surfaces except RP 2 and Klein bottle.


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
A. Gorsky ◽  
D. Pavshinkin ◽  
A. Tyutyakina

Abstract We consider the $$ T\overline{T} $$ T T ¯ deformation of 2d large N YM theory on a cylinder, sphere and disk. The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the collective theory are found for the sphere. The account of the non-perturbative branch of the solution amounts to the first-order phase transition at the (A, τ) plane. We analyze the third-order phase transition in the deformed theory on the disk and derive the critical area as a function of the boundary holonomy. A kind of Hagedorn behavior in the spectral density is discussed.


2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Jorge G. Russo

Abstract We study a new hermitian one-matrix model containing a logarithmic Penner’s type term and another term, which can be obtained as a limit from logarithmic terms. For small coupling, the potential has an absolute minimum at the origin, but beyond a certain value of the coupling the potential develops a double well. For a higher critical value of the coupling, the system undergoes a large N third-order phase transition.


2019 ◽  
Vol 175 (6) ◽  
pp. 1262-1297 ◽  
Author(s):  
Fabio Deelan Cunden ◽  
Paolo Facchi ◽  
Marilena Ligabò ◽  
Pierpaolo Vivo

2014 ◽  
Vol 140 (1) ◽  
pp. 014502 ◽  
Author(s):  
Jinglong Zhu ◽  
Pingwen Zhang ◽  
Han Wang ◽  
Luigi Delle Site

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