scholarly journals Deformed Cauchy random matrix ensembles and large N phase transitions

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Jorge G. Russo
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Order Phase Transition ◽  
Critical Value ◽  
Third Order ◽  
Absolute Minimum ◽  
Small Coupling ◽  
Large N ◽  
Random Matrix Ensembles ◽  
Matrix Ensembles

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.

scholarly journals LARGE-N LIMIT OF NONLOCAL 2D GENERALIZED YANG–MILLS THEORIES ON NON-ORIENTABLE SURFACE

2004 ◽  
Vol 19 (13) ◽  
pp. 2123-2130
Author(s):  
Kh. SAAIDI
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Klein Bottle ◽  
Group Behavior ◽  
Orientable Surface ◽  
Third Order ◽  
Yang Mills ◽  
Large N ◽  
Text Model ◽  
Orientable Surfaces

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.

scholarly journals $$ T\overline{T} $$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
A. Gorsky ◽  
D. Pavshinkin ◽  
A. Tyutyakina
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Order Phase Transition ◽  
Equations Of Motion ◽  
Third Order ◽  
Yang Mills ◽  
First Order ◽  
Large N ◽  
First Order Phase Transition ◽  
First Order Phase

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.

LARGE N PHASE TRANSITIONS IN LOW DIMENSIONS

1986 ◽  
Vol 01 (02) ◽  
pp. 125-129 ◽  
Author(s):  
G.M. CICUTA ◽  
L. MOLINARI ◽  
E. MONTALDI
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Order Phase Transition ◽  
Gaussian Model ◽  
One Dimension ◽  
Green Functions ◽  
Matrix Representations ◽  
Low Dimensions ◽  
Large N ◽  
Physical Mass

Quantum models with fields in matrix representations of classical groups exhibit a high order phase transition in the limit of large order of the group. In zero dimension of space-time the Green functions of the newly found branch are those of a Gaussian model; in one dimension, the physical mass vanishes at the critical point.

scholarly journals Large-N lattice gauge theory without third-order phase transition

1981 ◽  
Vol 190 (2) ◽  
pp. 337-348 ◽  
Author(s):  
C.B. Lang ◽  
P. Salomonson ◽  
B.S. Skagerstam
Keyword(s):  
Phase Transition ◽  
Gauge Theory ◽  
Order Phase Transition ◽  
Lattice Gauge Theory ◽  
Third Order ◽  
Lattice Gauge ◽  
Large N

scholarly journals ANALYTIC STUDY OF FIRST-ORDER PHASE TRANSITION IN HOLOGRAPHIC SUPERCONDUCTOR AND SUPERFLUID

2013 ◽  
Vol 28 (28) ◽  
pp. 1350140 ◽  
Author(s):  
WUNG-HONG HUANG
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Critical Value ◽  
Analytic Study ◽  
Matching Method ◽  
Holographic Superconductor ◽  
First Order ◽  
Numerical Result ◽  
First Order Phase Transition ◽  
First Order Phase

We use the matching method to investigate the first-order phase transition in holographic superconductor and superfluid. We first use the simple holographic superconductor model to describe the matching method and mention how to see the first-order phase transition. Next, we study the holographic superconductor with Stückelberg term and see that the analytic results indicate the existence of first-order phase transition. Finally, we study the holographic superfluid and show that the first-order phase transition can be found for some values of parameters. We determine the critical value analytically and compare it with the previous numerical result.

FLUCTUATION EFFECTS IN A CLASS OF SYSTEMS WITH TWO ORDER PARAMETERS

1993 ◽  
Vol 07 (27) ◽  
pp. 1725-1731 ◽  
Author(s):  
L. DE CESARE ◽  
I. RABUFFO ◽  
D.I. UZUNOV
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Phase Transitions ◽  
Order Phase Transition ◽  
Mean Field ◽  
Ising Models ◽  
Order Parameters ◽  
The Mean ◽  
Fluctuation Effects ◽  
Second Order Phase Transition

The phase transitions described by coupled spin -1/2 Ising models are investigated with the help of the mean field and the renormalization group theories. Results for the type of possible phase transitions and their fluctuation properties are presented. A fluctuation-induced second-order phase transition is predicted.

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