Universally finite gravitational and gauge theories

@article{Modesto2015UniversallyFG,
  title={Universally finite gravitational and gauge theories},
  author={Leonardo Modesto and Lesław Rachwał},
  journal={Nuclear Physics},
  year={2015},
  volume={900},
  pages={147-169}
}

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References

SHOWING 1-10 OF 117 REFERENCES

Do we have unitary and (super)renormalizable quantum gravity below the Planck scale

We explore how the stability of metric perturbations in higher derivative theories of gravity depends on the energy scale of initial seeds of such perturbations and on a typical energy scale of the

Super-renormalizable Higher-Derivative 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 Multidimensional Gravity: Theory and Applications

Abstract In this paper we introduce a perturbatively super-renormalizable and unitary theory of quantum gravity in any dimension D. In four dimensions the theory is an extension of the Stelle higher

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

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

Towards a finite quantum supergravity

In this paper we study an N=1 supersymmetric extension of a perturbatively super-renormalizable (nonlocal)theory of gravity in four dimensions. The nonlocal supergravity theory is power-counting

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

Absence of higher derivatives in the renormalization of propagators in quantum field theories with infinitely many couplings

I study some aspects of the renormalization of quantum field theories with infinitely many couplings in arbitrary space-time dimensions. I prove that when the space-time manifold admits a metric of

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

The a-theorem and the asymptotics of 4D quantum field theory

A bstractWe study the possible IR and UV asymptotics of 4D Lorentz invariant unitary quantum field theory. Our main tool is a generalization of the Komargodski-Schwimmer proof for the a-theorem. We
...