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

scholarly journals W-INFINITY WARD IDENTITIES AND CORRELATION FUNCTIONS IN THE c=1 MATRIX MODEL

1992 ◽  
Vol 07 (11) ◽  
pp. 937-953 ◽  
Author(s):  
SUMIT R. DAS ◽  
AVINASH DHAR ◽  
GAUTAM MANDAL ◽  
SPENTA R. WADIA
Keyword(s):  
Matrix Model ◽  
Correlation Functions ◽  
Scaling Limit ◽  
Three Dimensional ◽  
Dimensional Theory ◽  
Fermionic Field ◽  
Ward Identities ◽  
The Matrix ◽  
Dependent Potential ◽  
General Time

We explore consequences of W-infinity symmetry in the fermionic field theory of the c=1 matrix model. We derive exact Ward identities relating correlation functions of the bilocal operator. These identities can be expressed as equations satisfied by the effective action of a three-dimensional theory and contain non-perturbative information about the model. We use these identities to calculate the two-point function of the bilocal operator in the double scaling limit. We extract the operator whose two-point correlator has a single pole at an (imaginary) integer value of the energy. We then rewrite the W-infinity charges in terms of operators in the matrix model and use this to derive constraints satisfied by the partition function of the matrix model with a general time dependent potential.

scholarly journals The supercritical regime in the normal matrix model with cubic potential

2015 ◽  
Vol 283 ◽  
pp. 530-587 ◽  
Author(s):  
A.B.J. Kuijlaars ◽  
A. Tovbis
Keyword(s):  
Matrix Model ◽  
Normal Matrix ◽  
Supercritical Regime

MATRIX MODELS AND GAUGE-INVARIANT FIELD THEORY OF SUBCRITICAL STRINGS

1992 ◽  
Vol 07 (11) ◽  
pp. 2559-2588 ◽  
Author(s):  
ASHOKE SEN
Keyword(s):  
Field Theory ◽  
Partition Function ◽  
Matrix Models ◽  
Matrix Model ◽  
String Field Theory ◽  
Correlation Functions ◽  
Ward Identities ◽  
Gauge Invariant ◽  
The Matrix

A gauge-invariant interacting field theory of subcritical closed strings is constructed. It is shown that for d ≤ 1 this field theory reproduces many of the features of the corresponding matrix model. Among them are the scaling dimensions of the relevant primary fields, identities involving the correlation functions of some of the redundant operators in the matrix model, and the flow between different matrix models under appropriate perturbation. In particular, it is shown that some of the constraints on the partition function derived recently by Dijkgraaf et al. and Fukuma et al. may be interpreted as Ward identities in string field theory.

scholarly journals Planar orthogonal polynomials and boundary universality in the random normal matrix model

2021 ◽  
Vol 227 (2) ◽  
pp. 309-406
Author(s):  
Håkan Hedenmalm ◽  
Aron Wennman
Keyword(s):  
Orthogonal Polynomials ◽  
Matrix Model ◽  
Normal Matrix

scholarly journals 2D string theory as normal matrix model

2003 ◽  
Vol 667 (1-2) ◽  
pp. 90-110 ◽  
Author(s):  
Sergei Yu. Alexandrov ◽  
Vladimir A. Kazakov ◽  
Ivan K. Kostov
Keyword(s):  
String Theory ◽  
Matrix Model ◽  
Normal Matrix

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 ERRATA: W-INFINITY WARD IDENTITIES AND CORRELATION FUNCTIONS IN THE c = 1 MATRIX MODEL

1992 ◽  
Vol 07 (24) ◽  
pp. 2245-2245 ◽  
Author(s):  
Sumit R. Das ◽  
Avinash Dhar ◽  
Gautam Mandal ◽  
Spenta R. Wadia
Keyword(s):  
Matrix Model ◽  
Correlation Functions ◽  
Ward Identities

scholarly journals On the Structure of Correlation Functions in the Normal Matrix Model

1998 ◽  
Vol 196 (1) ◽  
pp. 203-247 ◽  
Author(s):  
Ling-Lie Chau ◽  
Oleg Zaboronsky
Keyword(s):  
Matrix Model ◽  
Correlation Functions ◽  
Normal Matrix
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