General relativistic quantum theories Foundations. Expanding Universes

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

物理学;力学

Parmeggiani, Claudio^1

University of Milano-Bicocca, (UNIMIB), Italy^1

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

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/626/1/012071/pdf
DOI  :  10.1088/1742-6596/626/1/012071

学科分类：力学，机械学

来源: IOP

【 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.