Quantization of Newton’s Gravity

• 作者: Angelo Plastino Mario C. Rocca
• 来源期刊: 现代物理(英文)
• 学科: 物理学
• 关键词: Non-Relativistic Quantum Field Theory Newton’s Gravity Schwartz’ Distributions
• 年，卷（期）: 2020,（6）
• 页码范围: 920-927
• 页数: 8页
• 分类号: O57

摘要

In this work we will use a recently developed non relativistic (NR) quantization methodology that successfully overcomes troubles with infinities that plague non-renormalizable quantum field theories (QFTs). The ensuing methodology is here applied to Newton’s gravitation potential. We employ here the concomitant mathematical apparatus to formulate the NR QFT discussed in the well known classical text-book by Fetter and Walecka. We emphasize the fact that we speak of non relativistic QFT. This is so because we appeal to Newton’s gravitational potential, while in a relativistic QFT one does not employ potentials. Our main protagonist is the notion of propagator. This notion is of the essence in non relativistic quantum field theory (NR-QFT). Indeed, propagators are indispensable tools for both nuclear physics and condensed matter theory, among other disciplines. In the present work we deal with propagators for both fermions and bosons.