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Alexios Polychronakos
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Effective action of scalar field theory on fuzzy spaces
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Scalar field theory on fuzzy spaces, represented
as an appropriate hermitian matrix model
with quartic interaction terms, is studied.
The effective action in the symmetric large-N
regime is analyzed using a self-consistent
bootstrap method which fixes its form up
to sixth order in the eigenvalues and gives
a closed expression to all orders in the
quadratic invariant of the matrix. Using
this action the eigenvalue distribution is
calculated for the interacting theory 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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