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High Energy Physics - Theory, hep-th
Abstract:
We study various properties of a Proca field coupled to gravity through
minimal and quadrupole interactions, described by a 2-parameter family of
Lagrangians. Stueckelberg decomposition of the effective theory spells out a
model-dependent upper bound on the ultraviolet cutoff, parametrically larger
than the Proca mass. A shock-wave analysis of the theory constrains its
parameter space by requiring null-energy condition and the absence of negative
time delays in high-energy scattering. Derived from unitarity and analyticity
of scattering amplitudes, positivity bounds on the effective theory have an
important bearing on the ultraviolet cutoff.
