Gravitational waves from vacuum first-order phase transitions: from the envelope to the lattice

Cutting, Daniel, Hindmarsh, Mark and Weir, David J (2018) Gravitational waves from vacuum first-order phase transitions: from the envelope to the lattice. Physical Review D, 97 (12). pp. 123513-1. ISSN 2470-0010

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Abstract

We conduct large scale numerical simulations of gravitational wave production at a first-order vacuum phase transition. We find a power law for the gravitational wave power spectrum at high wave number which falls off as k−1.5 rather than the k−1 produced by the envelope approximation. The peak of the power spectrum is shifted to slightly lower wave numbers from that of the envelope approximation. The envelope approximation reproduces our results for the peak power less well, agreeing only to within an order of magnitude. After the bubbles finish colliding, the scalar field oscillates around the true vacuum. An additional feature is produced in the UV of the gravitational wave power spectrum, and this continues to grow linearly until the end of our simulation. The additional feature peaks at a length scale close to the bubble wall thickness and is shown to have a negligible contribution to the energy in gravitational waves, providing the scalar field mass is much smaller than the Planck mass.

Item Type: Article
Schools and Departments: School of Engineering and Informatics > Informatics
School of Mathematical and Physical Sciences > Physics and Astronomy
Research Centres and Groups: Theoretical Particle Physics Research Group
Subjects: Q Science > QC Physics
Depositing User: Alice Jackson
Date Deposited: 02 Jul 2019 09:51
Last Modified: 01 Aug 2019 12:30
URI: http://sro.sussex.ac.uk/id/eprint/84693

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Project NameSussex Project NumberFunderFunder Ref
Theoretical Particle Physics Consortium Sussex - Royal HollowayG1449STFC-SCIENCE AND TECHNOLOGY FACILITIES COUNCILST/L000504/1
South-Eastern Particle Theory Alliance Sussex - RHUL - UCL 2017-2020 - Sussex nodeG2074STFC-SCIENCE AND TECHNOLOGY FACILITIES COUNCILST/P000819/1