منابع مشابه
Fuzzy Sphere from Matrix Model
Using a D0-brane as a probe, we study the spacetime geometry in the neighborhood of N D-branes in matrix theory. We find that due to fermionic zero modes, the coordinates of the probe in the transverse directions are noncommutative, and the angular part is a fuzzy sphere.
متن کاملNoncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model
We consider a reduced model of four-dimensional Yang-Mills theory with a mass term. This matrix model has two classical solutions, two-dimensional fuzzy sphere and two-dimensional fuzzy torus. These classical solutions are constructed by embedding them into three or four dimensional flat space. They exist for finite size matrices, that is, the number of the quantum on these manifolds is finite....
متن کاملMatrix Models on the Fuzzy Sphere
Field theory on a fuzzy noncommutative sphere can be considered as a particular matrix approximation of field theory on the standard commutative sphere. We investigate from this point of view the scalar φ theory. We demonstrate that the UV/IR mixing problems of this theory are localized to the tadpole diagrams and can be removed by an appropiate (fuzzy) normal ordering of the φ vertex. The pert...
متن کاملQuantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model
U(n) Yang-Mills theory on the fuzzy sphere S 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(...
متن کاملA Multitrace Matrix Model from Fuzzy Scalar Field Theory
We present the analytical approach to scalar field theory on the fuzzy sphere which has been developed in hep-th/0706.2493. This approach is based on considering a perturbative expansion of the kinetic term in the partition function. After truncating this expansion at second order, one arrives at a multitrace matrix model, which allows for an application of the saddle-point method. The results ...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2000
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2000/12/015