Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model
By H. Steinacker. 2003
153 citations recorded by the source corpus.
U(n) Yang-Mills theory on the fuzzy sphere S 2 N is quantized using random matrix methods. The gauge theory is formulated as a matrix model for a single Hermitian matrix subject to a constraint, and a potential with two degenerate minima. This allows to reduce the path integral over the gauge fields to an integral over eigenvalues, which can be evaluated for large N. The partition function of U(n) Yang-Mills theory on the classical sphere is recovered in the large N limit, as a sum over instanton contributions. The monopole solutions are found explicitly.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e2cb0a2dde8fd5db8e579b65017b97dd13baf0c4
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Emergent geometry and gravity from matrix models: an introduction (2010, methodology): “[7, 10, 11, 32].”
- Emergent gravity from noncommutative gauge theory (2007, background): “Furthermore, stability of Euclidean NC spaces with similar actions as the ones considered here is rather obvious by construction [26,48] and has been verified numerically in [49,50], while geometrical phase transitions do occur.”