# Emergent gravity from vanishing energy-momentum tensor

## Abstract

A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as a nonperturbative artifact of regularization-scale physics. We analyze a scalar theory similar to the Dirac-Born-Infeld (DBI) theory with vanishing gauge fields, with the DBI Lagrangian modulated by a scalar potential. In the limit of a large number of scalars, we explicitly demonstrate the existence of a composite massless spin-2 graviton in the spectrum that couples to matter as in Einstein gravity. As a result, we comment on the cosmological constant problem and the generalization to theories with fermions and gauge fields.

- Authors:

- College of William and Mary, Williamsburg, VA (United States)
- Univ. of Virginia, Charlottesville, VA (United States)

- Publication Date:

- Research Org.:
- College of William and Mary, Williamsburg, VA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1361210

- Grant/Contract Number:
- SC0007894

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 3; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; models of quantum gravity; effective field theories

### Citation Formats

```
Carone, Christopher D., Erlich, Joshua, and Vaman, Diana.
```*Emergent gravity from vanishing energy-momentum tensor*. United States: N. p., 2017.
Web. doi:10.1007/JHEP03(2017)134.

```
Carone, Christopher D., Erlich, Joshua, & Vaman, Diana.
```*Emergent gravity from vanishing energy-momentum tensor*. United States. doi:10.1007/JHEP03(2017)134.

```
Carone, Christopher D., Erlich, Joshua, and Vaman, Diana. Mon .
"Emergent gravity from vanishing energy-momentum tensor". United States.
doi:10.1007/JHEP03(2017)134. https://www.osti.gov/servlets/purl/1361210.
```

```
@article{osti_1361210,
```

title = {Emergent gravity from vanishing energy-momentum tensor},

author = {Carone, Christopher D. and Erlich, Joshua and Vaman, Diana},

abstractNote = {A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as a nonperturbative artifact of regularization-scale physics. We analyze a scalar theory similar to the Dirac-Born-Infeld (DBI) theory with vanishing gauge fields, with the DBI Lagrangian modulated by a scalar potential. In the limit of a large number of scalars, we explicitly demonstrate the existence of a composite massless spin-2 graviton in the spectrum that couples to matter as in Einstein gravity. As a result, we comment on the cosmological constant problem and the generalization to theories with fermions and gauge fields.},

doi = {10.1007/JHEP03(2017)134},

journal = {Journal of High Energy Physics (Online)},

number = 3,

volume = 2017,

place = {United States},

year = {Mon Mar 27 00:00:00 EDT 2017},

month = {Mon Mar 27 00:00:00 EDT 2017}

}

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