# Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity

@article{Talaganis2017HamiltonianAF, title={Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity}, author={Spyridon Talaganis and Alireza Teimouri}, journal={arXiv: High Energy Physics - Theory}, year={2017} }

Typically higher-derivative theories are unstable. Instabilities manifest themselves from extra propagating degrees of freedom, which are unphysical. In this paper, we will investigate an infinite derivative field theory and study its true dynamical degrees of freedom via Hamiltonian analysis. In particular, we will show that if the infinite derivatives can be captured by a Gaussian kinetic term, i.e. exponential of entire function, then it is possible to prove that there are only finite number…

## 14 Citations

### On aspects of infinite derivatives field theories & infinite derivative gravity

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- 2018

Infinite derivative theory of gravity is a modification to the general theory of relativity. Such modification maintains the massless graviton as the only true physical degree of freedom and avoids…

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### Newtonian Potential and Geodesic Completeness in Infinite Derivative Gravity

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Recent study has shown that a nonsingular oscillating potential—a feature of infinite derivative gravity theories—matches current experimental data better than the standard General Relativity…

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The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons…

### Criteria for resolving the cosmological singularity in Infinite Derivative Gravity

- Physics
- 2016

Einstein's General theory of relativity permits space-time singularities, where null congruences \emph{focus} in the presence of matter, which satisfies an appropriate energy condition. In this…

### Infinite Derivative Gravity: A finite number of predictions

- Physics
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Ghost-free Infinite Derivative Gravity (IDG) is a modifed gravity theory which can avoid the singularities predicted by General Relativity. This thesis examines the effect of IDG on four areas of…

### Revealing infinite derivative gravity’s true potential: The weak-field limit around de Sitter backgrounds

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- 2018

General Relativity is known to produce singularities in the potential generated by a point source. Our universe can be modelled as a de Sitter (dS) metric and we show that ghost-free Infinite…

### Slavnov Identities for Infinite Derivative Theory of Gravity

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In this paper, we shall consider an infinite-derivative theory of gravity, with a view to making it renormalisable. First, we derive the modified superficial degree of divergence. Next, we establish…

### Towards UV Finiteness of Infinite Derivative Theories of Gravity and Field Theories

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- 2017

In this paper we will consider the ultraviolet (UV) finiteness of the most general one-particle irreducible ($1$PI) Feynman diagrams within the context of ghost-free, infinite-derivative scalar toy…

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- Mathematics
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In this paper, we consider an infinite derivative scalar field action with infinite derivative kinetic and interaction terms. We establish that the theory is unitary if the correlation functions are…

## References

SHOWING 1-10 OF 60 REFERENCES

### Generalized ghost-free quadratic curvature gravity

- Mathematics
- 2013

In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which…

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

- Physics
- 2014

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…

### String-Inspired Infinite-Derivative Theories of Gravity: A Brief Overview

- Mathematics
- 2014

In String Theory there often appears a rather interesting class of higher derivative theories containing an infinite set of derivatives in the form of an exponential. These theories may provide a way…

### Generalised boundary terms for higher derivative theories of gravity

- Mathematics
- 2016

A bstractIn this paper we wish to find the corresponding Gibbons-Hawking-York term for the most general quadratic in curvature gravity by using Coframe slicing within the Arnowitt-Deser-Misner (ADM)…

### Super-renormalizable Quantum Gravity

- Physics
- 2012

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…

### Towards a resolution of the cosmological singularity in non-local higher derivative theories of gravity

- Physics
- 2010

One of the greatest problems of standard cosmology is the Big Bang singularity. Previously it has been shown that non-local ghostfree higher-derivative modifications of Einstein gravity in the…

### Properties of the classical action of quantum gravity

- Physics
- 2013

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…

### Defocusing of null rays in infinite derivative gravity

- Physics, Mathematics
- 2016

Einstein's General theory of relativity permits spacetime singularities, where null geodesic congruences focus in the presence of matter, which satisfies an appropriate energy condition. In this…

### Behavior of the Newtonian potential for ghost-free gravity and singularity free gravity

- Physics
- 2016

In this paper we show that there is a universal prediction for the Newtonian potential for an infinite derivative, ghost-free, quadratic curvature gravity. We show that in order to make such a theory…