Positivity bounds on effective field theories with spontaneously broken Lorentz invariance

Abstract

We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green's function of conserved currents (or of the stress-energy tensor) and assume the theory becomes conformal in the UV. The method is general and applicable to both cosmology and condensed matter systems. As a concrete example, we look at the EFT of conformal superfluids which describes the universal low-energy dynamics of CFT's at large chemical potential and we derive inequalities on the coefficients of the operators, in three dimensions, at NLO and NNLO.

31+14 pages

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• The Color-Dual Fates of $F^3$, $R^3$, and $\mathcal{N}=4$ Supergravity
• An Open Effective Field Theory for light in a medium
• Does decoherence violate decoupling?
• Inflationary Adler Conditions
• Positivity bounds in vector theories
• The connection between nonzero density and spontaneous symmetry breaking for interacting scalars
• Microcausality without Lorentz invariance
• Bispectrum Islands
• Stability of nonsingular cosmologies in Galileon models with torsion. A no-go theorem for eternal subluminality
• Healthy Horndeski cosmologies with torsion
• Unitarity and unstable-particle scattering amplitudes
• IR side of bounds on Theories with Spontaneously Broken Lorentz Symmetry
• Propagator positivity bounds for cosmological correlators
• Universal thermalization dynamics in (1+1)d QFTs