The evolving Planck mass in classically scale-invariant theories

Abstract We consider classically scale-invariant theories with non-minimally coupled scalar fields, where the Planck mass and the hierarchy of physical scales are dynamically generated. The classical theories possess a fixed point, where scale invariance is spontaneously broken. In these theories, h...

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Main Authors:	K. Kannike, M. Raidal, C. Spethmann, H. Veermäe
Format:	Article
Language:	English
Published:	Springer 2017-04-01
Series:	Journal of High Energy Physics
Subjects:	Classical Theories of Gravity Renormalization Group
Online Access:	http://link.springer.com/article/10.1007/JHEP04(2017)026

id	doaj-art-cd1ae8deb5d64778b95ae3678744d712
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spelling	doaj-art-cd1ae8deb5d64778b95ae3678744d7122018-08-15T21:33:30ZengSpringerJournal of High Energy Physics1029-84792017-04-012017412810.1007/JHEP04(2017)026The evolving Planck mass in classically scale-invariant theoriesK. Kannike0M. Raidal1C. Spethmann2H. Veermäe3National Institute of Chemical Physics and BiophysicsNational Institute of Chemical Physics and BiophysicsNational Institute of Chemical Physics and BiophysicsNational Institute of Chemical Physics and BiophysicsAbstract We consider classically scale-invariant theories with non-minimally coupled scalar fields, where the Planck mass and the hierarchy of physical scales are dynamically generated. The classical theories possess a fixed point, where scale invariance is spontaneously broken. In these theories, however, the Planck mass becomes unstable in the presence of explicit sources of scale invariance breaking, such as non-relativistic matter and cosmological constant terms. We quantify the constraints on such classical models from Big Bang Nucleosynthesis that lead to an upper bound on the non-minimal coupling and require trans-Planckian field values. We show that quantum corrections to the scalar potential can stabilise the fixed point close to the minimum of the Coleman-Weinberg potential. The time-averaged motion of the evolving fixed point is strongly suppressed, thus the limits on the evolving gravitational constant from Big Bang Nucleosynthesis and other measurements do not presently constrain this class of theories. Field oscillations around the fixed point, if not damped, contribute to the dark matter density of the Universe.http://link.springer.com/article/10.1007/JHEP04(2017)026Classical Theories of GravityRenormalization Group
institution	Open Data Bank
collection	Open Access Journals
building	Directory of Open Access Journals
language	English
format	Article
author	K. Kannike M. Raidal C. Spethmann H. Veermäe
spellingShingle	K. Kannike M. Raidal C. Spethmann H. Veermäe The evolving Planck mass in classically scale-invariant theories Journal of High Energy Physics Classical Theories of Gravity Renormalization Group
author_facet	K. Kannike M. Raidal C. Spethmann H. Veermäe
author_sort	K. Kannike
title	The evolving Planck mass in classically scale-invariant theories
title_short	The evolving Planck mass in classically scale-invariant theories
title_full	The evolving Planck mass in classically scale-invariant theories
title_fullStr	The evolving Planck mass in classically scale-invariant theories
title_full_unstemmed	The evolving Planck mass in classically scale-invariant theories
title_sort	evolving planck mass in classically scale-invariant theories
publisher	Springer
series	Journal of High Energy Physics
issn	1029-8479
publishDate	2017-04-01
description	Abstract We consider classically scale-invariant theories with non-minimally coupled scalar fields, where the Planck mass and the hierarchy of physical scales are dynamically generated. The classical theories possess a fixed point, where scale invariance is spontaneously broken. In these theories, however, the Planck mass becomes unstable in the presence of explicit sources of scale invariance breaking, such as non-relativistic matter and cosmological constant terms. We quantify the constraints on such classical models from Big Bang Nucleosynthesis that lead to an upper bound on the non-minimal coupling and require trans-Planckian field values. We show that quantum corrections to the scalar potential can stabilise the fixed point close to the minimum of the Coleman-Weinberg potential. The time-averaged motion of the evolving fixed point is strongly suppressed, thus the limits on the evolving gravitational constant from Big Bang Nucleosynthesis and other measurements do not presently constrain this class of theories. Field oscillations around the fixed point, if not damped, contribute to the dark matter density of the Universe.
topic	Classical Theories of Gravity Renormalization Group
url	http://link.springer.com/article/10.1007/JHEP04(2017)026
_version_	1612705697004257280

The evolving Planck mass in classically scale-invariant theories

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