Natural cutoffs via compact symplectic manifolds
In the context of phenomenological models of quantum gravity, it is claimed that ultraviolet (UV) and infrared (IR) natural cutoffs can be realized from local deformations of the Hamiltonian systems. In this paper, we scrutinize this hypothesis and formulate a cutoff-regularized Hamiltonian system....
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| Veröffentlicht in: | Classical and quantum gravity 2016-01, Vol.33 (2), p.25009-25029 |
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| container_title | Classical and quantum gravity |
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| creator | Nozari, K Gorji, M A Hosseinzadeh, V Vakili, B |
| description | In the context of phenomenological models of quantum gravity, it is claimed that ultraviolet (UV) and infrared (IR) natural cutoffs can be realized from local deformations of the Hamiltonian systems. In this paper, we scrutinize this hypothesis and formulate a cutoff-regularized Hamiltonian system. The results show that while local deformations are necessary to have cutoffs, they are not sufficient. In fact, the cutoffs can be realized from globally-deformed Hamiltonian systems that are defined on compact symplectic manifolds. By taking the universality of quantum gravity effects into account, we then conclude that quantum gravity cutoffs are global (topological) properties of the symplectic manifolds. We justify our results by considering three well-known examples: the Moyal, Snyder and polymer-deformed Hamiltonian systems. |
| doi_str_mv | 10.1088/0264-9381/33/2/025009 |
| format | Article |
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| subjects | Deformation Hamiltonian functions Infrared Manifolds Manifolds (mathematics) natural cutoffs Quantum gravity symplectic manifold Topology Ultraviolet |
| title | Natural cutoffs via compact symplectic manifolds |
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