The fuzzy onion scalar field theory shows three fuzzy-sphere-like phases with aligned layers, dynamical phase transitions that blur boundaries, and two fitted phase-boundary curves of the form |b| = k1 + k2 sqrt(c).
The numerical approach to quantum field theory in a non-commutative space
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Numerical simulation is an important non-perturbative tool to study quantum field theories defined in non-commutative spaces. In this contribution, a selection of results from Monte Carlo calculations for non-commutative models is presented, and their implications are reviewed. In addition, we also discuss how related numerical techniques have been recently applied in computer simulations of dimensionally reduced supersymmetric theories.
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Numerical Study of Scalar Field Theory on the Fuzzy Onion
The fuzzy onion scalar field theory shows three fuzzy-sphere-like phases with aligned layers, dynamical phase transitions that blur boundaries, and two fitted phase-boundary curves of the form |b| = k1 + k2 sqrt(c).