1306.6645 (Alexios P. Polychronakos)

Effective action and phase transitions of scalar field on the fuzzy
sphere    [PDF]

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.

View original: http://arxiv.org/abs/1306.6645