# Late-time structure of the Bunch-Davies de Sitter wavefunction

## Abstract

We examine the late time behavior of the Bunch-Davies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the Bunch-Davies wavefunction. We consider self-interacting scalars of general mass, but focus especially on the massless and conformally coupled cases. We show that certain contributions grow logarithmically in conformal time both at tree and loop level. We also consider gauge fields and gravitons. The four-dimensional Fefferman-Graham expansion of classical asymptotically de Sitter solutions is used to show that the wavefunction contains no logarithmic growth in the pure graviton sector at tree level. Finally, assuming a holographic relation between the wavefunction and the partition function of a conformal field theory, we interpret the logarithmic growths in the language of conformal field theory.

- Authors:

- Stanford Institute of Theoretical Physics, Stanford University, Stanford (United States)
- Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge (United States)
- (United States)

- Publication Date:

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

- OSTI Identifier:
- 22458407

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 11; Other Information: PUBLISHER-ID: JCAP11(2015)048; OAI: oai:repo.scoap3.org:12868; 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; ANTI DE SITTER GROUP; CONFORMAL INVARIANCE; DE SITTER SPACE; FIELD THEORIES; FOUR-DIMENSIONAL CALCULATIONS; GRAVITONS; MASS; MATHEMATICAL SOLUTIONS; PARTITION FUNCTIONS; STRING MODELS; STRING THEORY; WAVE FUNCTIONS

### Citation Formats

```
Anninos, Dionysios, Anous, Tarek, Freedman, Daniel Z., Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, and Konstantinidis, George.
```*Late-time structure of the Bunch-Davies de Sitter wavefunction*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/11/048.

```
Anninos, Dionysios, Anous, Tarek, Freedman, Daniel Z., Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, & Konstantinidis, George.
```*Late-time structure of the Bunch-Davies de Sitter wavefunction*. United States. doi:10.1088/1475-7516/2015/11/048.

```
Anninos, Dionysios, Anous, Tarek, Freedman, Daniel Z., Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, and Konstantinidis, George. Mon .
"Late-time structure of the Bunch-Davies de Sitter wavefunction". United States.
doi:10.1088/1475-7516/2015/11/048.
```

```
@article{osti_22458407,
```

title = {Late-time structure of the Bunch-Davies de Sitter wavefunction},

author = {Anninos, Dionysios and Anous, Tarek and Freedman, Daniel Z. and Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge and Department of Mathematics, Massachusetts Institute of Technology, Cambridge and Konstantinidis, George},

abstractNote = {We examine the late time behavior of the Bunch-Davies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the Bunch-Davies wavefunction. We consider self-interacting scalars of general mass, but focus especially on the massless and conformally coupled cases. We show that certain contributions grow logarithmically in conformal time both at tree and loop level. We also consider gauge fields and gravitons. The four-dimensional Fefferman-Graham expansion of classical asymptotically de Sitter solutions is used to show that the wavefunction contains no logarithmic growth in the pure graviton sector at tree level. Finally, assuming a holographic relation between the wavefunction and the partition function of a conformal field theory, we interpret the logarithmic growths in the language of conformal field theory.},

doi = {10.1088/1475-7516/2015/11/048},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 11,

volume = 2015,

place = {United States},

year = {Mon Nov 30 00:00:00 EST 2015},

month = {Mon Nov 30 00:00:00 EST 2015}

}