Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity

@article{Talaganis2014TowardsUT,
  title={Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity},
  author={Spyridon Talaganis and Tirthabir Biswas and Anupam Mazumdar},
  journal={Classical and Quantum Gravity},
  year={2014},
  volume={32}
}
In this paper we will consider quantum aspects of a non-local, infinite-derivative scalar field theory—a toy model depiction of a covariant infinite-derivative, non-local extension of Einstein’s general relativity which has previously been shown to be free from ghosts around the Minkowski background. The graviton propagator in this theory gets an exponential suppression making it asymptotically free, thus providing strong prospects of resolving various classical and quantum divergences. In… 

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References

SHOWING 1-10 OF 121 REFERENCES

Super-renormalizable Quantum Gravity

In this paper we study perturbatively an extension of the Stelle higher derivative gravity involving an infinite number of derivative terms. We know that the usual quadratic action is renormalizable

Super-renormalizable and finite gravitational theories

Aspects of Nonlocality in Quantum Field Theory, Quantum Gravity and Cosmology

This paper contains a collection of essays on nonlocal phenomena in quantum field theory, gravity and cosmology. Mechanisms of nonlocal contributions to the quantum effective action are discussed

Aspects of Nonlocality in Quantum Field Theory, Quantum Gravity and Cosmology

This paper contains a collection of essays on nonlocal phenomena in quantum field theory, gravity and cosmology. Mechanisms of nonlocal contributions to the quantum effective action are discussed

Super-accelerating bouncing cosmology in asymptotically free non-local gravity

Recently, evidence has been collected that a class of gravitational theories with certain non-local operators is renormalizable. We consider one such model which, at the linear perturbative level,

Black holes in an ultraviolet complete quantum gravity

Renormalizable Non-Metric Quantum Gravity?

We argue that four-dimensional quantum gravity may be essentially renormalizable if one relaxes the assumption of metricity of the theory. We work with Plebanski formulation of general relativity in

QUANTUM THEORY OF GRAVITY. II. THE MANIFESTLY COVARIANT THEORY.

Contrary to the situation which holds for the canonical theory described in the first paper of this series, there exists at present no tractable pure operator language on which to base a manifestly

Thermodynamics and cosmological constant of non-local field theories from p-adic strings

We develop the thermodynamics of field theories characterized by non-local propagators. We analyze the partition function and main thermodynamic properties arising from perturbative thermal loops. We

Properties of the classical action of quantum gravity

A bstractThe classical action of quantum gravity, determined by renormalization, contains infinitely many independent couplings and can be expressed in different perturbatively equivalent ways. We
...