Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere

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dc.creatorPanero, Marco
dc.date2006-09-28
dc.date2006-11-17
dc.date.accessioned2026-07-07T12:20:28Z
dc.date.available2026-07-07T12:20:28Z
dc.descriptionWe review some recent progress in quantum field theory in non-commutative space, focusing onto the fuzzy sphere as a non-perturbative regularisation scheme. We first introduce the basic formalism, and discuss the limits corresponding to different commutative or non-commutative spaces. We present some of the theories which have been investigated in this framework, with a particular attention to the scalar model. Then we comment on the results recently obtained from Monte Carlo simulations, and show a preview of new numerical data, which are consistent with the expected transition between two phases characterised by the topology of the support of a matrix eigenvalue distribution.
dc.descriptionThis is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 2006, Budapest, Hungary), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/hep-th/0609205
dc.identifierhttp://arxiv.org/abs/hep-th/0609205
dc.identifierSIGMA 2:081,2006
dc.identifierdoi:10.3842/SIGMA.2006.081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213076
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleQuantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
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