Fluctuating Dimension in a Discrete Model for Quantum Gravity Based on the Spectral Principle

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Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.creatorde Albuquerque, Luiz C. [UNESP]-
Autor(es): dc.creatordeLyra, Jorge L.-
Autor(es): dc.creatorTeotonio-Sobrinho, Paulo-
Data de aceite: dc.date.accessioned2022-08-04T22:01:17Z-
Data de disponibilização: dc.date.available2022-08-04T22:01:17Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2003-08-22-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1103/PhysRevLett.91.081301-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/219295-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/219295-
Descrição: dc.descriptionThe spectral principle of Connes and Chamseddine is used as a starting point to define a discrete model for Euclidean quantum gravity. Instead of summing over ordinary geometries, we consider the sum over generalized geometries where topology, metric, and dimension can fluctuate. The model describes the geometry of spaces with a countable number [Formula presented] of points, and is related to the Gaussian unitary ensemble of Hermitian matrices. We show that this simple model has two phases. The expectation value [Formula presented], the average number of points in the Universe, is finite in one phase and diverges in the other. We compute the critical point as well as the critical exponent of [Formula presented]. Moreover, the space-time dimension [Formula presented] is a dynamical observable in our model, and plays the role of an order parameter. The computation of [Formula presented] is discussed and an upper bound is found, [Formula presented]. © 2003 The American Physical Society.-
Descrição: dc.descriptionFaculdade de Tecnologia de São Paulo-DEG-CEETEPS-UNESP Praça Fernando Prestes, São Paulo, 01124-060-
Descrição: dc.descriptionUniversidade de São Paulo Instituto de Física-DFMA, Caixa Postal 66318, 05315-970-
Descrição: dc.descriptionFaculdade de Tecnologia de São Paulo-DEG-CEETEPS-UNESP Praça Fernando Prestes, São Paulo, 01124-060-
Idioma: dc.languageen-
Relação: dc.relationPhysical Review Letters-
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Título: dc.titleFluctuating Dimension in a Discrete Model for Quantum Gravity Based on the Spectral Principle-
Tipo de arquivo: dc.typelivro digital-
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