Extending Weinberg's EFT: effective scalar-tensor theories up to sixth order
We present a systematic construction of the six-derivative effective scalar-tensor theories, extending the four-derivative framework previously developed by Steven Weinberg. The on-shell effective field theory comprises five parity-even and three parity-odd independent six-derivative scalar-tensor interactions, representing all inequivalent deformations consistent with general covariance. We further confirm this operator counting through an independent analysis using the scattering amplitude formalism in four-dimensional flat spacetime. The six-derivative Lagrangian constructed here provides the next-to-leading-order extension of scalar-tensor gravity, furnishing a robust framework for exploring quantum or stringy corrections, parity-violating interactions, and strong-curvature effects in cosmology, black hole physics and gravitational wave observations.
展开 ▾扩展温伯格的EFT:至六阶的有效标量-张量理论 · 系统构建了六阶导数有效标量-张量理论,包含五个宇称偶和三个宇称奇独立相互作用,并通过散射振幅分析确认算子计数,为量子或弦修正、宇称破坏及强曲率效应提供框架。
预印本 2025-12-15 · 接收 2026-06-24 · 刊出 2026-08-03 · 收录 2026-08-20