# On consistent kinetic and derivative interactions for gravitons

## Abstract

The only known fully ghost-free and consistent Lorentz-invariant kinetic term for a graviton (or indeed for any spin-2 field) is the Einstein-Hilbert term. Here we propose and investigate a new candidate family of kinetic interactions and their extensions to derivative interactions involving several spin-2 fields. These new terms generically break diffeomorphism invariance(s) and as a result can lead to the propagation of 5 degrees of freedom for a single spin-2 field — analogous to ghost-free Massive Gravity. We discuss under what circumstances these new terms can be used to build healthy effective field theories and in the process establish the ‘Jordan’ and ‘Einstein’ frame pictures for Massive-, Bi- and Multi-Gravity.

- Authors:

- Astrophysics, University of Oxford, DWB, Keble Road, Oxford, OX1 3RH (United Kingdom)

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22454538

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 04; Other Information: PUBLISHER-ID: JCAP04(2015)025; OAI: oai:repo.scoap3.org:9941; Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DEGREES OF FREEDOM; FIELD THEORIES; GRAVITONS; INTERACTIONS; LORENTZ INVARIANCE; NONLUMINOUS MATTER; SPIN

### Citation Formats

```
Noller, Johannes.
```*On consistent kinetic and derivative interactions for gravitons*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/04/025.

```
Noller, Johannes.
```*On consistent kinetic and derivative interactions for gravitons*. United States. doi:10.1088/1475-7516/2015/04/025.

```
Noller, Johannes. Fri .
"On consistent kinetic and derivative interactions for gravitons". United States.
doi:10.1088/1475-7516/2015/04/025.
```

```
@article{osti_22454538,
```

title = {On consistent kinetic and derivative interactions for gravitons},

author = {Noller, Johannes},

abstractNote = {The only known fully ghost-free and consistent Lorentz-invariant kinetic term for a graviton (or indeed for any spin-2 field) is the Einstein-Hilbert term. Here we propose and investigate a new candidate family of kinetic interactions and their extensions to derivative interactions involving several spin-2 fields. These new terms generically break diffeomorphism invariance(s) and as a result can lead to the propagation of 5 degrees of freedom for a single spin-2 field — analogous to ghost-free Massive Gravity. We discuss under what circumstances these new terms can be used to build healthy effective field theories and in the process establish the ‘Jordan’ and ‘Einstein’ frame pictures for Massive-, Bi- and Multi-Gravity.},

doi = {10.1088/1475-7516/2015/04/025},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 04,

volume = 2015,

place = {United States},

year = {Fri Apr 17 00:00:00 EDT 2015},

month = {Fri Apr 17 00:00:00 EDT 2015}

}

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