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The numerical approach to quantum field theory in a non-commutative space

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arxiv 1601.01176 v1 pith:XG4XNEDF submitted 2016-01-06 hep-th gr-qchep-lat

classification hep-thgr-qchep-lat
keywords non-commutativenumericalfieldquantumtheoriesadditionappliedapproach
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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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  1. Numerical Study of Scalar Field Theory on the Fuzzy Onion

    hep-th 2026-08 conditional novelty 6.0 of 10

    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).

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