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Positivity Bounds without Boosts

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arxiv 2102.05683 v1 pith:3RJKKPVU submitted 2021-02-10 hep-th gr-qchep-ph

Tanguy Grall , Scott Melville This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords boundsboostslorentzpositivitybrokenderiveeftslow-energy
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abstract

We derive the first positivity bounds for low-energy Effective Field Theories (EFTs) that are not invariant under Lorentz boosts. "Positivity bounds" are the low-energy manifestation of certain fundamental properties in the UV -- to date they have been used to constrain a wide variety of EFTs, however since all of the existing bounds require Lorentz invariance they are not directly applicable when this symmetry is broken, such as for most cosmological and condensed matter systems. From the UV axioms of unitarity, causality and locality, we derive an infinite family of bounds which (derivatives of) the $2\to2$ EFT scattering amplitude must satisfy even when Lorentz boosts are broken (either spontaneously or explicitly). We apply these bounds to the leading-order EFT of both a superfluid and the scalar fluctuations produced during inflation, comparing in the latter case with the current observational constraints on primordial non-Gaussianity.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Propagator positivity bounds for cosmological correlators

    hep-th 2025-12 conditional novelty 7.0 of 10

    An infinite tower of two-sided positivity bounds constrains the EFT coefficients of heavy fields on de Sitter, ruling out correlators with no unitary/causal UV completion.

  2. Geometry of effective field theory positivity cones

    math-ph 2025-08 accept novelty 7.0 of 10

    For three particle flavors, the positivity cone C_W has exactly three families of extremal rays, one of which yields genuinely new inelastic constraints not implied by elastic bounds.

  3. Bootstrapping Gravity with Crossing Symmetric Dispersion Relations

    hep-th 2025-06 conditional novelty 5.0 of 10

    A crossing-symmetric dispersion-relation bootstrap reproduces known gravitational EFT bounds and gives new tree-level limits on the graviton coupling to a massive spin-4 state.

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