Positivity bounds for scalar field theories
Feb 20, 2017
6 pages
Published in:
- Phys.Rev.D 96 (2017) 8, 081702
- Published: Oct 23, 2017
e-Print:
- 1702.06134 [hep-th]
View in:
Citations per year
Abstract: (APS)
Assuming the existence of a local, analytic, unitary UV completion in a Poincaré invariant scalar field theory with a mass gap, we derive an infinite number of positivity requirements using the known properties of the amplitude at and away from the forward scattering limit. These take the form of bounds on combinations of the pole subtracted scattering amplitude and its derivatives. In turn, these positivity requirements act as constraints on the operator coefficients in the low energy effective theory. For certain theories these constraints can be used to place an upper bound on the mass of the next lightest state that must lie beyond the low energy effective theory if such a UV completion is to ever exist.Note:
- 5 pages
- field theory: scalar
- unitarity
- Poincare
References(17)
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