The Modification of Feynman Diagrams in Curved Space-Time

TL;DR

This paper investigates how weak gravitational fields influence quantum particles and Feynman diagrams, showing that curvature modifies propagators and interaction dynamics, aligning quantum behavior with classical geodesic motion.

Contribution

It introduces modifications to Feynman diagrams in curved space-time, highlighting the impact of gravitational curvature on quantum propagators and interactions.

Findings

Quantum particles follow geodesic trajectories in weak gravitational fields.

Feynman diagrams are altered by curvature, affecting propagators.

Gravitational effects introduce spatial dependence in interaction dynamics.

Abstract

This paper explores the behavior of quantum particles in weak gravitational fields. We examine scalar and spinor particles, showing that these quantum particles in weak gravitational fields follow geodesic trajectories, aligning with classical expectations. Further, we explore the impact of gravitational fields on Yukawa interaction $\lambda \bar{\Psi} \Phi \Psi$, revealing that Feynman diagrams are modified due to the curvature, affecting propagators and interaction dynamics. The presence of spatially-dependent factors in propagators underscores the localized nature of gravitational effects on particle interactions.