Higher Derivative Theories for Interacting Massless Gravitons in Minkowski Spacetime

Abstract

We study a novel class of higher derivative theories for interacting massless gravitons in Minkowski spacetime. These theories were first discussed by Wald decades ago, and are characterized by scattering amplitudes essentially different from general relativity and many of its modifications. We discuss various aspects of these higher derivative theories, including the Lagrangian construction, violation of asymptotic causality, scattering amplitudes, non-renormalization, and possible implications on emergent gravitons from condensed matter systems.

21 pages, accepted version

References in corpus (5)

• Resummation of Massive Gravity
• Consistency Conditions on the S-Matrix of Massless Particles
• Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
• S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
• Challenges for Emergent Gravity

Cited by in corpus (5)

• Gravitational Effective Field Theory Islands, Low-Spin Dominance, and the Four-Graviton Amplitude
• Effective metric outside bootstrapped Newtonian sources
• Constraints on Gravitation from Causality and Quantum Consistency
• Orbits in bootstrapped Newtonian gravity
• Softness, Polynomial Boundedness and Amplitudes' Positivity