Monday, July 1, 2013

1306.6645 (Alexios P. Polychronakos)

Effective action and phase transitions of scalar field on the fuzzy

Alexios P. Polychronakos
Scalar field theory on the fuzzy two-sphere, represented as a hermitian matrix model that includes kinetic, mass and quartic interaction terms, is analyzed. The full effective action in the symmetric large-N regime is derived using a self-consistent bootstrap method. The eigenvalue distribution is calculated in the appropriate scaling limit and the phase transition from the disordered to the symmetric ordered phase is identified, including nonperturbative effects.
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