scholarly journals Gauge Theory, Combinatorics, and Matrix Models

10.5772/46481 ◽  
2012 ◽  
Author(s):  
Taro Kimura
Keyword(s):  
Gauge Theory ◽  
Matrix Models

scholarly journals Gravitational corrections in supersymmetric gauge theory and matrix models

2003 ◽  
Vol 2003 (03) ◽  
pp. 051-051 ◽  
Author(s):  
Albrecht Klemm ◽  
Marcos Mariño ◽  
Stefan Theisen
Keyword(s):  
Supersymmetric Gauge Theory ◽  
Gauge Theory ◽  
Matrix Models ◽  
Supersymmetric Gauge

scholarly journals DISCRETE NONCOMMUTATIVE GAUGE THEORY

2001 ◽  
Vol 16 (04n06) ◽  
pp. 367-386 ◽  
Author(s):  
RICHARD J. SZABO
Keyword(s):  
Gauge Theory ◽  
Matrix Models ◽  
Wilson Line ◽  
Morita Equivalence ◽  
Generic Properties ◽  
Gauge Invariant ◽  
Fundamental Matter ◽  
Generic Relation ◽  
Noncommutative Gauge Theory ◽  
Noncommutative Quantum

A review of the relationships between matrix models and noncommutative gauge theory is presented. A lattice version of noncommutative Yang–Mills theory is constructed and used to examine some generic properties of noncommutative quantum field theory, such as uv/ir mixing and the appearance of gauge-invariant open Wilson line operators. Morita equivalence in this class of models is derived and used to establish the generic relation between noncommutative gauge theory and twisted reduced models. Finite-dimensional representations of the quotient conditions for toroidal compactification of matrix models are thereby exhibited. The coupling of noncommutative gauge fields to fundamental matter fields is considered and a large mass expansion is used to study the properties of gauge-invariant observables. Morita equivalence with fundamental matter is also presented and used to prove the equivalence between the planar loop renormalizations in commutative and noncommutative quantum chromodynamics.

β-DEFORMED MATRIX MODELS AND NEKRASOV PARTITION FUNCTION

2013 ◽  
Vol 21 ◽  
pp. 92-100
Author(s):  
TAKESHI OOTA
Keyword(s):  
Gauge Theory ◽  
Partition Function ◽  
Matrix Models ◽  
Matrix Model ◽  
The Matrix

The β-deformed matrix models of Selberg type are introduced. They are exactly calculable by using the Macdonald-Kadell formula. With an appropriate choice of the integration contours and interactions, the partition function of the matrix model can be identified with the Nekrasov partition function for SU(2) gauge theory with Nf = 4. Known properties of good q-expansion basis for the matrix model are summarized.

scholarly journals Remarks on the eigenvalues distributions of D≤4 Yang–Mills matrix models

2015 ◽  
Vol 30 (01) ◽  
pp. 1450197
Author(s):  
Badis Ydri
Keyword(s):  
Gauge Theory ◽  
Matrix Models ◽  
Yang Mills ◽  
Fuzzy Geometry ◽  
Noncommutative Gauge Theory

The phenomenon of emergent fuzzy geometry and noncommutative gauge theory from Yang–Mills matrix models is briefly reviewed. In particular, the eigenvalue distributions of Yang–Mills matrix models in lower dimensions in the commuting (matrix or Yang–Mills) phase of these models are discussed.

scholarly journals MATRIX MODELS AND ${\mathcal N} = 2$ GAUGE THEORY

2004 ◽  
Author(s):  
S. G. NACULICH ◽  
H. J. SCHNITZER ◽  
N. WYLLARD
Keyword(s):  
Gauge Theory ◽  
Matrix Models

scholarly journals A PROPOSAL FOR A NONPERTURBATIVE REGULARIZATION OF $\mathcal{N} = 2 SUSY 4D GAUGE THEORY

2007 ◽  
Vol 22 (34) ◽  
pp. 2565-2572 ◽  
Author(s):  
BADIS YDRI
Keyword(s):  
Gauge Theory ◽  
Matrix Models ◽  
Gauge Action ◽  
Dimensional Matrix ◽  
Finite Dimensional ◽  
Large N

In this letter we show that supersymmetry (like geometry) can be approximated using finite-dimensional matrix models and fuzzy manifolds. In particular, we propose a nonperturbative regularization of [Formula: see text] supersymmetric U(n) gauge action in 4D. In some planar large-N limits we recover exact SUSY together with the smooth geometry of [Formula: see text].

scholarly journals On low rank classical groups in string theory, gauge theory and matrix models

2004 ◽  
Vol 682 (1-2) ◽  
pp. 45-82 ◽  
Author(s):  
Ken Intriligator ◽  
Per Kraus ◽  
Anton V Ryzhov ◽  
Masaki Shigemori ◽  
Cumrun Vafa
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Matrix Models ◽  
Low Rank ◽  
Classical Groups

scholarly journals Constructing gauge theory geometries from matrix models

2003 ◽  
Vol 2003 (05) ◽  
pp. 066-066 ◽  
Author(s):  
Albrecht Klemm ◽  
Karl Landsteiner ◽  
Calin Iuliu Lazaroiu ◽  
Ingo Runkel
Keyword(s):  
Gauge Theory ◽  
Matrix Models
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