Nonlinear field space cosmology

@article{Mielczarek2017NonlinearFS,
  title={Nonlinear field space cosmology},
  author={Jakub Mielczarek and Tomasz Trze'sniewski},
  journal={Physical Review D},
  year={2017},
  volume={96},
  pages={043522}
}
We consider the FRW cosmological model in which the matter content of universe (playing a role of inflaton or quintessence) is given by a novel generalization of the massive scalar field. The latter is a scalar version of the recently introduced Nonlinear Field Space Theory (NFST), where physical phase space of a given field is assumed to be compactified at large energies. For our analysis we choose the simple case of a field with the spherical phase space and endow it with the generalized… 

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References

SHOWING 1-5 OF 5 REFERENCES

Spin-Field Correspondence

In the recent article Phys. Lett. B 2016, 759, 424–429, a new class of field theories called Nonlinear Field Space Theory was proposed. In this approach, the standard field theories are considered as

Nonlinear Field Space Theory and Quantum Gravity

Phase spaces with nontrivial geometry appear in different approaches to quantum gravity and can also play a role in e.g. condensed matter physics. However, so far such phase spaces have only been

Loop quantum cosmology: a status report

Loop quantum cosmology (LQC) is the result of applying principles of loop quantum gravity (LQG) to cosmological settings. The distinguishing feature of LQC is the prominent role played by the quantum

Quantum Gravity, Dynamical Phase Space and String Theory

In a natural extension of the relativity principle, we speculate that a quantum theory of gravity involves two fundamental scales associated with both dynamical spacetime as well as dynamical