scholarly journals BRST quantization of matrix models with constraints and two-dimensional Yang-Mills theory on the cylinder

2007 ◽  
Vol 75 (6) ◽  
Author(s):  
P. V. Buividovich
Keyword(s):  
Matrix Models ◽  
Brst Quantization ◽  
Two Dimensional ◽  
Yang Mills

scholarly journals Multiple phases in a generalized Gross-Witten-Wadia matrix model

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Jorge G. Russo ◽  
Miguel Tierz
Keyword(s):  
Partition Function ◽  
Matrix Models ◽  
Characteristic Polynomial ◽  
Matrix Model ◽  
Phase Structure ◽  
Unitary Matrix ◽  
Two Dimensional ◽  
Toeplitz Determinants ◽  
Dimensional Parameter ◽  
Planar Limit

Abstract We study a unitary matrix model of the Gross-Witten-Wadia type, extended with the addition of characteristic polynomial insertions. The model interpolates between solvable unitary matrix models and is the unitary counterpart of a deformed Cauchy ensemble. Exact formulas for the partition function and Wilson loops are given in terms of Toeplitz determinants and minors and large N results are obtained by using Szegö theorem with a Fisher-Hartwig singularity. In the large N (planar) limit with two scaled couplings, the theory exhibits a surprisingly intricate phase structure in the two-dimensional parameter space.

scholarly journals BFV-BRST quantization of two-dimensional supergravity

1996 ◽  
Vol 53 (2) ◽  
pp. 852-869 ◽  
Author(s):  
T. Fujiwara ◽  
Y. Igarashi ◽  
R. Kuriki ◽  
T. Tabei
Keyword(s):  
Brst Quantization ◽  
Two Dimensional

A COMPACT BOSON COUPLED TO TWO-DIMENSIONAL GRAVITY

1991 ◽  
Vol 06 (15) ◽  
pp. 2743-2754 ◽  
Author(s):  
NORISUKE SAKAI ◽  
YOSHIAKI TANII
Keyword(s):  
Field Theory ◽  
Partition Function ◽  
Quantum Gravity ◽  
Matrix Models ◽  
Riemann Surfaces ◽  
Partition Functions ◽  
Two Dimensional ◽  
Dimensional Gravity ◽  
The Continuum ◽  
Continuum Field

The radius dependence of partition functions is explicitly evaluated in the continuum field theory of a compactified boson, interacting with two-dimensional quantum gravity (noncritical string) on Riemann surfaces for the first few genera. The partition function for the torus is found to be a sum of terms proportional to R and 1/R. This is in agreement with the result of a discretized version (matrix models), but is quite different from the critical string. The supersymmetric case is also explicitly evaluated.

scholarly journals Quantum gravity as a multitrace matrix model

2017 ◽  
Vol 32 (31) ◽  
pp. 1750180
Author(s):  
Badis Ydri ◽  
Cherine Soudani ◽  
Ahlam Rouag
Keyword(s):  
Quantum Gravity ◽  
Matrix Models ◽  
Large Class ◽  
Matrix Model ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Topology Change ◽  
New Model ◽  
And Topology ◽  
Emergent Geometry

We present a new model of quantum gravity as a theory of random geometries given explicitly in terms of a multitrace matrix model. This is a generalization of the usual discretized random surfaces of two-dimensional quantum gravity which works away from two dimensions and captures a large class of spaces admitting a finite spectral triple. These multitrace matrix models sustain emergent geometry as well as growing dimensions and topology change.

scholarly journals The semiclassical limit of the two‐dimensional quantum Yang–Mills model

1994 ◽  
Vol 35 (10) ◽  
pp. 5354-5361 ◽  
Author(s):  
Christopher King ◽  
Ambar Sengupta
Keyword(s):  
Semiclassical Limit ◽  
Two Dimensional ◽  
Yang Mills

scholarly journals Two-Dimensional Unoriented Strings And Matrix Models

2004 ◽  
Vol 2004 (06) ◽  
pp. 002-002 ◽  
Author(s):  
Jaume Gomis ◽  
Anton Kapustin
Keyword(s):  
Matrix Models ◽  
Two Dimensional
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