Causal effective field theories
File(s)PhysRevD.106.105018.pdf (1.01 MB)
Published version
Author(s)
Gonzalez, MC
De Rham, C
Pozsgay, V
Tolley, AJ
Type
Journal Article
Abstract
Physical principles such as unitarity, causality, and locality can constrain the space of consistent effective field theories (EFTs) by imposing two-sided bounds on the allowed values of Wilson coefficients. In this paper, we consider the bounds that arise from the requirement of low energy causality alone, without appealing to any assumptions about UV physics. We focus on shift-symmetric theories, and consider bounds that arise from the propagation around both a homogeneous and a spherically symmetric scalar field background. We find that low energy causality, namely the requirement that there are no resolvable time advances within the regime of validity of the EFT, produces two-sided bounds in agreement with compact positivity constraints previously obtained from 2 → 2 scattering amplitude dispersion relations using full crossing symmetry.
Date Issued
2022-11-22
Date Acceptance
2022-10-28
ISSN
1550-2368
Publisher
American Physical Society
Start Page
1
End Page
25
Journal / Book Title
Physical Review D: Particles, Fields, Gravitation and Cosmology
Volume
106
Issue
10
Copyright Statement
© 2022 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Identifier
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.106.105018
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Publication Status
Published
Article Number
ARTN 105018
Date Publish Online
2022-11-22