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Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres

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dc.contributor.author Anagnostopoulos, KN en
dc.contributor.author Azuma, T en
dc.contributor.author Nagao, K en
dc.contributor.author Nishimura, J en
dc.date.accessioned 2014-03-01T01:22:30Z
dc.date.available 2014-03-01T01:22:30Z
dc.date.issued 2005 en
dc.identifier.issn 1126-6708 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/16590
dc.subject Matrix Models en
dc.subject Non-Commutative Geometry en
dc.subject Nonperturbative Effects en
dc.subject.classification Physics, Particles & Fields en
dc.subject.other IIB MATRIX MODEL en
dc.subject.other NONCOMMUTATIVE GAUGE-THEORY en
dc.subject.other GINSPARG-WILSON RELATION en
dc.subject.other YANG-MILLS INTEGRALS en
dc.subject.other 4-DIMENSIONAL SPACE-TIME en
dc.subject.other S-2 X S-2 en
dc.subject.other HOMOGENEOUS SPACES en
dc.subject.other FIELD-THEORY en
dc.subject.other SCHWINGER MODEL en
dc.subject.other DIRAC OPERATOR en
dc.title Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres en
heal.type journalArticle en
heal.identifier.primary 10.1088/1126-6708/2005/09/046 en
heal.identifier.secondary http://dx.doi.org/10.1088/1126-6708/2005/09/046 en
heal.identifier.secondary 046 en
heal.language English en
heal.publicationDate 2005 en
heal.abstract We study a 4d supersymmetric matrix model with a cubic term, which incorporates fuzzy spheres as classical solutions, using Monte Carlo simulations and perturbative calculations. The fuzzy sphere in the supersymmetric model turns out to be always stable if the large-N limit is taken in such a way that various correlation functions scale. This is in striking contrast to analogous bosonic models, where the fuzzy sphere decays into the pure Yang-Mills vacuum due to quantum effects when the coefficient of the cubic term becomes smaller than a critical value. We also find that the power-law tail of the eigenvalue distribution, which exists in the supersymmetric model without the cubic term, disappears in the presence of the fuzzy sphere in the large-N limit. Coincident fuzzy spheres turn out to be unstable, which implies that the dynamically generated gauge group is U(1). © SISSA 2005. en
heal.publisher INT SCHOOL ADVANCED STUDIES en
heal.journalName Journal of High Energy Physics en
dc.identifier.doi 10.1088/1126-6708/2005/09/046 en
dc.identifier.isi ISI:000232334600046 en
dc.identifier.issue 9 en
dc.identifier.spage A1 en
dc.identifier.epage A27 en


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