scholarly journals Advances in Large N Group Theory and the Solution of Two-Dimensional R 2 Gravity

1997 ◽  
pp. 265-277
Author(s):  
V. A. Kazakov ◽  
M. Staudacher
Keyword(s):  
Group Theory ◽  
Two Dimensional ◽  
Large N

TERBIUM MOLYBDATE: GROUP THEORY AND FLUCTUATIONS

1987 ◽  
Vol 01 (05n06) ◽  
pp. 239-244
Author(s):  
SERGE GALAM
Keyword(s):  
Fixed Point ◽  
Group Theory ◽  
Parameter Space ◽  
Landau Theory ◽  
Two Dimensional ◽  
Stable Fixed Point ◽  
Theory Analysis ◽  
Continuous Transition ◽  
Dimensional Parameter ◽  
First Order

A new mechanism to explain the first order ferroelastic—ferroelectric transition in Terbium Molybdate (TMO) is presented. From group theory analysis it is shown that in the two-dimensional parameter space ordering along either an axis or a diagonal is forbidden. These symmetry-imposed singularities are found to make the unique stable fixed point not accessible for TMO. A continuous transition even if allowed within Landau theory is thus impossible once fluctuations are included. The TMO transition is therefore always first order. This explanation is supported by experimental results.

The large N limit of two-dimensional models

2010 ◽  
pp. 165-174
Author(s):  
Yitzhak Frishman ◽  
Jacob Sonnenschein
Keyword(s):  
Two Dimensional ◽  
Large N ◽  
Dimensional Models

scholarly journals ON BARYON NUMBER NONCONSERVATION IN TWO-DIMENSIONAL O(2N+1) QCD

2010 ◽  
Vol 25 (06) ◽  
pp. 1253-1266
Author(s):  
TAMAR FRIEDMANN
Keyword(s):  
Dynamical System ◽  
Phase Space ◽  
Matrix Models ◽  
Gauge Group ◽  
Baryon Number ◽  
Two Dimensional ◽  
Infinite Dimensional ◽  
Field Approach ◽  
Large N ◽  
Classical Dynamical System

We construct a classical dynamical system whose phase space is a certain infinite-dimensional Grassmannian manifold, and propose that it is equivalent to the large N limit of two-dimensional QCD with an O (2N+1) gauge group. In this theory, we find that baryon number is a topological quantity that is conserved only modulo 2. We also relate this theory to the master field approach to matrix models.

scholarly journals Testing the holographic principle using lattice simulations

2018 ◽  
Vol 175 ◽  
pp. 08004 ◽  
Author(s):  
Raghav G. Jha ◽  
Simon Catterall ◽  
David Schaich ◽  
Toby Wiseman
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Strong Coupling ◽  
Type Ii ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Made In

The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting and orbifolding, it is now possible to study these theories on the lattice while preserving an exact supersymmetry on the lattice. We present some results from the lattice studies of two-dimensional MSYM which is related to Type II supergravity. Our results agree with the thermodynamics of different black hole phases on the gravity side and the phase transition (Gregory–Laflamme) between them.

scholarly journals Quantum phase transition in a two-dimensional Kondo-Heisenberg model: A dynamical Schwinger-boson large- N approach

2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Jiangfan Wang ◽  
Yung-Yeh Chang ◽  
Chung-Yu Mou ◽  
Stefan Kirchner ◽  
Chung-Hou Chung
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Heisenberg Model ◽  
Quantum Phase ◽  
Two Dimensional ◽  
Large N

scholarly journals Large N universality of the two-dimensional Yang-Mills string

1995 ◽  
Vol 446 (1-2) ◽  
pp. 3-15 ◽  
Author(s):  
Michael Crescimanno ◽  
Stephen G. Naculich ◽  
Howard J. Schnitzer
Keyword(s):  
Two Dimensional ◽  
Yang Mills ◽  
Large N
Sign in / Sign up

Export Citation Format

Share Document