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Causal Effective Field Theories

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arxiv 2207.03491 v2 pith:IJPFZYHR submitted 2022-07-07 hep-th

Causal Effective Field Theories

classification hep-th
keywords boundscausalitytheoriesariseconsidereffectivefieldlow-energy
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 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 $2 \rightarrow 2$ scattering amplitude dispersion relations using full crossing symmetry.

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Cited by 5 Pith papers

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