The University of Southampton
University of Southampton Institutional Repository

Translational symmetry breaking in field theories and the cosmological constant

Translational symmetry breaking in field theories and the cosmological constant
Translational symmetry breaking in field theories and the cosmological constant
We argue, at a very basic effective field theory level, that higher dimension operators in scalar theories that break symmetries at scales close to their ultraviolet completion cutoff include terms that favor the breaking of translation (Lorentz) invariance, potentially resulting in striped, checkerboard or general crystal-like phases. Such descriptions can be thought of as the effective low energy description of QCD-like gauge theories near their strong coupling scale where terms involving higher dimension operators are generated. Our low energy theory consists of scalar fields describing operators such as q¯q and q¯F(2n)q. Such scalars can have kinetic mixing terms that generate effective momentum dependent contributions to the mass matrix. We show that these can destabilize the translationally invariant vacuum. It is possible that in some real gauge theory such operators could become sufficiently dominant to realize such phases, and it would be interesting to look for them in lattice simulations. We present a holographic model of the same phenomena which includes renormalization group running. A key phenomenological motive to look at such states is recent work that shows that the nonlinear response in R2 gravity to such short-range fluctuations can mimic a cosmological constant. Intriguingly in a cosmology with such a Starobinsky inflation term, to generate the observed value of the present day acceleration would require stripes at the electroweak scale. Unfortunately, low energy phenomenological constraints on Lorentz violation in the electron-photon system appear to strongly rule out any such possibility outside of a disconnected dark sector.
1550-7998
1-9
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Scott, Marc
4a6abe2e-59fb-4a70-8452-7c13bd0c5ce2
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Scott, Marc
4a6abe2e-59fb-4a70-8452-7c13bd0c5ce2

Evans, Nick, Morris, Tim R. and Scott, Marc (2016) Translational symmetry breaking in field theories and the cosmological constant. Physical Review D, 93 (2), 1-9. (doi:10.1103/PhysRevD.93.025019).

Record type: Article

Abstract

We argue, at a very basic effective field theory level, that higher dimension operators in scalar theories that break symmetries at scales close to their ultraviolet completion cutoff include terms that favor the breaking of translation (Lorentz) invariance, potentially resulting in striped, checkerboard or general crystal-like phases. Such descriptions can be thought of as the effective low energy description of QCD-like gauge theories near their strong coupling scale where terms involving higher dimension operators are generated. Our low energy theory consists of scalar fields describing operators such as q¯q and q¯F(2n)q. Such scalars can have kinetic mixing terms that generate effective momentum dependent contributions to the mass matrix. We show that these can destabilize the translationally invariant vacuum. It is possible that in some real gauge theory such operators could become sufficiently dominant to realize such phases, and it would be interesting to look for them in lattice simulations. We present a holographic model of the same phenomena which includes renormalization group running. A key phenomenological motive to look at such states is recent work that shows that the nonlinear response in R2 gravity to such short-range fluctuations can mimic a cosmological constant. Intriguingly in a cosmology with such a Starobinsky inflation term, to generate the observed value of the present day acceleration would require stripes at the electroweak scale. Unfortunately, low energy phenomenological constraints on Lorentz violation in the electron-photon system appear to strongly rule out any such possibility outside of a disconnected dark sector.

Text
__soton.ac.uk_UDE_PersonalFiles_Users_skr1c15_mydocuments_eprints_PHYSICS_morris_1507.02965v2.pdf - Accepted Manuscript
Download (441kB)

More information

Accepted/In Press date: 4 January 2016
Published date: 22 January 2016
Organisations: Theoretical Partical Physics Group

Identifiers

Local EPrints ID: 397592
URI: https://eprints.soton.ac.uk/id/eprint/397592
ISSN: 1550-7998
PURE UUID: 16443521-f22f-44e4-b95c-5adbdb2bd4b6
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

Catalogue record

Date deposited: 04 Jul 2016 12:26
Last modified: 20 Jul 2019 01:27

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×