Remarks on the eigenvalues distributions of D\leq 4 Yang-Mills matrix models
arXiv:1410.4884 · doi:10.1142/S0217751X14501978
Abstract
The phenomena of emergent fuzzy geometry and noncommutative gauge theory from Yang-Mills matrix models is briefly reviewed. In particular, the eigenvalues distributions of Yang-Mills matrix models in lower dimensions in the commuting (matrix or Yang-Mills) phase of these models are discussed.
arXiv comment30 pages
References in corpus (50)
- String Theory and Noncommutative Geometry
- M Theory As A Matrix Model: A Conjecture
- Noncommutative Field Theory
- Strings in flat space and pp waves from Super Yang Mills
- Dielectric-Branes
- Noncommutative Geometry and Matrix Theory: Compactification on Tori
- Bound States Of Strings And -Branes
- A Large-N Reduced Model as Superstring
- Matrix Models, Topological Strings, and Supersymmetric Gauge Theories
- On Geometry and Matrix Models
- D-particle bound states and generalized instantons
- Noncommutative Yang-Mills in IIB Matrix Model
- Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
- Lattice Gauge Fields and Discrete Noncommutative Yang-Mills Theory
- Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
- Brane Dynamics in Background Fluxes and Non-commutative Geometry
- Finite N Matrix Models of Noncommutative Gauge Theory
- A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
- Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model
- Noncommutative Geometry and Gauge Theory on Fuzzy Sphere
- D-particles, Matrix Integrals and KP hierachy
- Flux tube solutions in noncommutative gauge theories
- Fuzzy Complex Projective Spaces and their Star-products
- Spectrum of Schroedinger field in a noncommutative magnetic monopole
- Convergent Yang-Mills Matrix Theories
- Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
- Multi-matrix models and emergent geometry
- Finite Yang-Mills Integrals
- A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
- A Gauge-Invariant UV-IR Mixing and The Corresponding Phase Transition For U(1) Fields on the Fuzzy Sphere
- Geometry in transition: A model of emergent geometry
- Formation of Spherical D2-brane from Multiple D0-branes
- Phase structure of twisted Eguchi-Kawai model
- Dimensionally Reduced SYM_4 as Solvable Matrix Quantum Mechanics
- Monte Carlo Simulation of a NC Gauge Theory on The Fuzzy Sphere
- Matrix Models, Gauge Theory and Emergent Geometry
- Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane
- Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres
- An Iterative Solution of the Three-colour Problem on a Random Lattice
- Large N reduction for Chern-Simons theory on S^3
- Matrix geometries and Matrix Models
- Localization for Yang-Mills Theory on the Fuzzy Sphere
- Multi-matrix models at general coupling
- Near commuting multi-matrix models
- Two-Dimensional Gauge Theory and Matrix Model
- Adding a Myers Term to the IIB Matrix Model
- A Renormalization Group Approach to A Yang-Mills Two Matrix Model
- Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II
- Critical Behaviour of the Fuzzy Sphere
- Vertex Models on Feynman Diagrams