General relativistic quantum theories Foundations. Expanding Universes

[摘要] Here the space-time is represented by the usual, four-dimensional manifold and at every space-time point is assigned an infinite-dimensional Hilbert space, seat of a (local) quantum description: states, probabilities and expectations. On the space-time manifold is assigned a metric tensor and it is assumed that the quantum fields commutations relations do not only depend on the metric tensor but also on its Ricci tensor: this is a fundamental postulate. This assumption has many relevant consequences: the theory is regularized; the commutators and the propagators are well defined functions and, applying the theory to electroweak interactions, we can obtain a finite and discrete specter of leptons masses.

[发布机构] University of Milano-Bicocca, (UNIMIB), Italy^1

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Defined functions;Electroweak interactions;Infinite dimensional;Metric tensor;Quantum description;Quantum field;Relativistic quantum theory;Ricci tensor