Scattering Cross-Sections in Quantum Gravity—The Case of Matter-Matter Scattering

• 作者: Christian Wiesendanger
• 来源期刊: 现代物理(英文)
• 学科: 物理学
• 关键词: Renormalizable QUANTUM GRAVITY SCATTERING CROSS-SECTIONS in QUANTUM GRAVITY Gauge Theory of Volume-Preserving DIFFEOMORPHISMS
• 年，卷（期）: 2015,（3）
• 页码范围: 273-282
• 页数: 10页
• 分类号: O4

摘要

Viewing gravitational energy-momentum PG<sup style='margin-left:-7px;'>μ as equal by observation, but different in essence from inertial energy-momentum PI<sup style='margin-left:-7px;'>μ naturally leads to the gauge theory of volume-preserving diffeomorphisms of a four-dimensional inner space. To analyse scattering in this theory, the gauge field is coupled to two Dirac fields with different masses. Based on a generalized LSZ reduction formula the S-matrix element for scattering of two Dirac particles in the gravitational limit and the corresponding scattering cross-section are calculated to leading order in perturbation theory. Taking the non-relativistic limit for one of the initial particles in the rest frame of the other the Rutherford-like cross-section of a non-relativistic particle scattering off an infinitely heavy scatterer calculated quantum mechanically in Newtonian gravity is recovered. This provides a non-trivial test of the gauge field theory of volume-preserving diffeomorphisms as a quantum theory of gravity.