# 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

### Hamiltonian for scalar field model of infinite derivative gravity

- Physics, Mathematics
- 2020

Theories with an infinite number of derivatives are described by non-local Lagrangians for which the standard Hamiltonian formalism cannot be applied. Hamiltonians of special types of non-local…

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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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### Infinite Derivative Gravity: A Ghost and Singularity-free Theory

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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

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- 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…

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- 2019

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…

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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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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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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…

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