Approximate Reformulation a Recent Non-Renormalizable QFT’s Methodology and Einstein’s Gravity

• 作者: A. Plastino M. C. Rocca
• 来源期刊: 高能物理(英文)
• 学科: 物理学
• 关键词: Quantum Field Theory EINSTEIN GRAVITY Non-Renormalizable Theories UNITARITY
• 年，卷（期）: gnwlyw,（2）
• 页码范围: 298-311
• 页数: 14页
• 分类号: O41

摘要

We revisit, advancing a useful approximation, a recently formulated QFT treatment that successfully overcomes any troubles with infinities for non-renormalizable QFTs [J. Phys. Comm. 2 115029 (2018)]. Such methodology was able to successfully deal, in non-relativistic fashion, with Newton’s gravitation potential [Annals of Physics 412, 168013 (2020)]. Our present approximation to the QFT method of [J. Phys. Comm. 2 115029 (2018)] is based on the Einstein’s Lagrangian (EG) elaborated by Gupta [1], save for a different constraint’s selection. This choice allows one to avoid the lack of unitarity for the S matrix that impaired the proceedings of Gupta and Feynman. Moreover, we are able to simplify the handling of such constraint by eliminating the need to involve ghosts for guarantying unitarity. Our approximation consists in setting the graviton field ∅μν=γμν∅, where γμνis a constant tensor and ∅a scalar (graviton) field. The ensuing approximate approach is non-renormalizable, an inconvenience that we are able to overcome in [J. Phys. Comm. 2 115029 (2018)].