Journal
PHYSICAL REVIEW D
Volume 103, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.103.L081701
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Funding
- U.S. Department of Energy [DE-SC0009988]
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This study reports progress in proving on-shell crossing symmetry within the framework of perturbative quantum field theory, deriving bounds on internal masses to ensure scattering amplitudes are crossing symmetric to all loop orders.
Proposed in 1954 by Geil-Mann, Goldberger, and Thirring, crossing symmetry postulates that particles are indistinguishable from antiparticles traveling back in time. Its elusive proof amounts to demonstrating that scattering matrices in different crossing channels are boundary values of the same analytic function, as a consequence of physical axioms such as causality, locality, or unitarity. In this work we report on the progress in proving crossing symmetry on shell within the framework of perturbative quantum field theory. We derive bounds on internal masses above which scattering amplitudes are crossing symmetric to all loop orders. They are valid for four- and five-point processes, or to all multiplicity if one allows deformations of momenta into higher dimensions at intermediate steps.
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