scholarly journals The Mother Body Phase Transition in the Normal Matrix Model

2020 ◽  
Vol 265 (1289) ◽  
pp. 0-0
Author(s):  
Pavel Bleher ◽  
Guilherme Silva
Keyword(s):  
Phase Transition ◽  
Matrix Model ◽  
Normal Matrix

scholarly journals Thermal phase transition in Yang-Mills matrix model

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Georg Bergner ◽  
Norbert Bodendorfer ◽  
Masanori Hanada ◽  
Enrico Rinaldi ◽  
Andreas Schäfer ◽  
...  
Keyword(s):  
Phase Transition ◽  
Matrix Model ◽  
Yang Mills ◽  
Thermal Phase Transition ◽  
Thermal Phase

Chiral matrix model for the phase transition in QCD

2016 ◽  
Vol 956 ◽  
pp. 673-676
Author(s):  
Robert D. Pisarski ◽  
Vladimir Skokov
Keyword(s):  
Phase Transition ◽  
Matrix Model

scholarly journals Deconfining phase transition as a matrix model of renormalized Polyakov loops

2004 ◽  
Vol 70 (3) ◽  
Author(s):  
Adrian Dumitru ◽  
Yoshitaka Hatta ◽  
Jonathan Lenaghan ◽  
Kostas Orginos ◽  
Robert D. Pisarski
Keyword(s):  
Phase Transition ◽  
Matrix Model ◽  
Polyakov Loops

scholarly journals Matrix model of strength distribution: Extension and phase transition

2018 ◽  
Vol 27 (10) ◽  
pp. 1850087 ◽  
Author(s):  
Arun Kingan ◽  
Larry Zamick
Keyword(s):  
Phase Transition ◽  
Matrix Models ◽  
Matrix Model ◽  
Nearest Neighbor ◽  
Coupling Parameter ◽  
Strength Distribution ◽  
Transition Operator ◽  
Exponential Decrease ◽  
Coupling Mode ◽  
Strength Distributions

In this work, we extend a previous study of matrix models of strength distributions. We still retain the nearest neighbor coupling mode but we extend the values of the coupling parameter [Formula: see text]. We consider extremes, from very small [Formula: see text] to very large [Formula: see text]. We first use the same transition operator as before [Formula: see text]. For this case, we get an exponential decrease for small [Formula: see text], as expected, but we get a phase transition beyond [Formula: see text]=10, where we get separate exponentials for even [Formula: see text] and for odd [Formula: see text]. We now also consider the dipole choice where [Formula: see text].

scholarly journals Rescaling Ward Identities in the Random Normal Matrix Model

2018 ◽  
Vol 50 (1) ◽  
pp. 63-127 ◽  
Author(s):  
Yacin Ameur ◽  
Nam-Gyu Kang ◽  
Nikolai Makarov
Keyword(s):  
Matrix Model ◽  
Normal Matrix ◽  
Ward Identities

THE PENNER MATRIX MODEL AND c = 1 STRINGS

1991 ◽  
Vol 06 (18) ◽  
pp. 1665-1677 ◽  
Author(s):  
S. CHAUDHURI ◽  
H. DYKSTRA ◽  
J. LYKKEN
Keyword(s):  
Phase Transition ◽  
Free Energy ◽  
Matrix Model ◽  
Critical Radius ◽  
Scaling Limit ◽  
Legendre Transform ◽  
Complex Eigenvalue ◽  
Closed Contour ◽  
Branch Points ◽  
Double Scaling Limit

The steepest descent solution of the Penner matrix model has a one-cut eigenvalue support. Criticality results when the two branch points of this support coalesce. The support is then a closed contour in the complex eigenvalue plane. Simple generalizations of the Penner model have multi-cut solutions. For these models, the eigenvalue support at criticality is also a closed contour, but consisting of several cuts. We solve the simplest such model, which we call the KT model, in the double-scaling limit. Its free energy is a Legendre transform of the free energy of the c = 1 string compactified to the critical radius of the Kosterlitz–Thouless phase transition.

scholarly journals CRITICAL SCALING AND CONTINUUM LIMITS IN THE D>1 KAZAKOV-MIGDAL MODEL

1995 ◽  
Vol 10 (18) ◽  
pp. 2615-2660 ◽  
Author(s):  
YU. MAKEENKO
Keyword(s):  
Phase Transition ◽  
Matrix Model ◽  
Tricritical Point ◽  
Logarithmic Potential ◽  
Coordination Numbers ◽  
Large N ◽  
Arbitrary Potential ◽  
Local Observables ◽  
The One ◽  
Continuum Theories

I investigate the Kazakov-Migdal (KM) model — the Hermitian gauge-invariant matrix model on a D-dimensional lattice. I use an exact large N solution of the KM model with a logarithmic potential to examine its critical behavior. I find critical lines associated with γstr=−1/2 and γ str =0 as well as a tricritical point associated with a phase transition of the Kosterlitz-Thouless type. The continuum theories are constructed expanding around the critical points. The one associated with γ str =0 coincides with a d=1 string while a phase transition of the Kosterlitz-Thouless type separates it from that with γ str =−1/2, which is indistinguishable from pure 2D gravity for local observables but has a continuum limit for correlators of extended Wilson loops at large distances due to a singular behavior of the Itzykson-Zuber correlator of the gauge fields. I re-examine the KM model with an arbitrary potential in the large D limit and show that it reduces at large N to a one-matrix model whose potential is determined self-consistently. A relation with discretized random surfaces is established via the gauged Potts model, which is equivalent to the KM model at large N providing the coordination numbers coincide.

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