Field Theory Simulations on a Fuzzy Sphere - an Alternative to the Lattice

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dc.creatorMedina, Julieta
dc.creatorBietenholz, Wolfgang
dc.creatorHofheinz, Frank
dc.creatorO'Connor, Denjoe
dc.date2005-09-28
dc.date.accessioned2026-07-07T06:23:00Z
dc.date.available2026-07-07T06:23:00Z
dc.descriptionWe explore a new way to simulate quantum field theory, without introducing a spatial lattice. As a pilot study we apply this method to the 3d λϕ^4 model. The regularisation consists of a fuzzy sphere with radius R for the two spatial directions, plus a discrete Euclidean time. The fuzzy sphere approximates the algebra of functions of the sphere with a matrix algebra, and the scalar field is represented by a Hermitian N x N matrix at each time site. We evaluate the phase diagram, where we find a disordered phase and an ordered regime, which splits into phases of uniform and non-uniform order. We discuss the behaviour of the model in different limits of large N and R, which lead to a commutative or to a non-commutative λϕ^4 model in flat space.
dc.description6 pages, 3 figres, talk presented at LATTICE05
dc.identifierhttps://arxiv.org/abs/hep-lat/0509162
dc.identifierhttp://arxiv.org/abs/hep-lat/0509162
dc.identifierPoS LAT2005 (2005) 263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96087
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleField Theory Simulations on a Fuzzy Sphere - an Alternative to the Lattice
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