Triangle Seminars
Thursday, 17 May 2007
On the phase diagram of fuzzy scalar field theory
Christian Saemann
(Dublin Institute of Advanced Study)
Abstract:
We consider the hermitian matrix model corresponding to scalar field theory on the fuzzy sphere. Using an expansion of the model which is similar to a high-temperature expansion, we are able to reformulate the model in terms of
its eigenvalues. Applying subsequently the saddle point method allows us to extract analytically information on the phase diagram of the theory. Eventually, we can also predict qualitatively the effect of proposed modifications of this theory which are necessary for the theory to be a regularized version of scalar field theory on the plane.
We consider the hermitian matrix model corresponding to scalar field theory on the fuzzy sphere. Using an expansion of the model which is similar to a high-temperature expansion, we are able to reformulate the model in terms of
its eigenvalues. Applying subsequently the saddle point method allows us to extract analytically information on the phase diagram of the theory. Eventually, we can also predict qualitatively the effect of proposed modifications of this theory which are necessary for the theory to be a regularized version of scalar field theory on the plane.
Posted by: IC
Giants in Beta-deformed Backgrounds
Emiliano Imeroni
(Swansea)