Open AccessPOINCARé GAUGE FIELD OF GRAVITATION AND THE MOTION OF SPIN 1/2 PARTICLE
Author(s) -
Guangyi Li
Publication year - 1981
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.30.722
Subject(s) - physics , general relativity , dirac equation , classical mechanics , gravitational field , gravitation , equations of motion , gauge theory , introduction to gauge theory , mathematical descriptions of the electromagnetic field , lorenz gauge condition , massive particle , spin (aerodynamics) , field (mathematics) , mathematical physics , classical field theory , quantum electrodynamics , gauge anomaly , mathematics , pure mathematics , thermodynamics , particle physics , dark matter
The Poincaré group is adapted as the gravitational gauge group. The equation of gravitational field in the Reimann-Cartan space-time with a Lagrangian containing linear and quadratic terms of strengths is investigated. For static and spherically symmetric field the vacuum solution in the macroscopic limit is shown to correspond to Schwar-zchild solution. Therefore this is in agreement with the experiments for general relativity. But in the microscopic limit, the field equation may predict a new type of short-range interaction.The spin 1/2 particle, Dirac particle, is taken as a probing particle. Its motion in the vacuum static and spherically symmetric gravitation field is explored. As a result, it is shown that the equation of motion of the Dirac particle only depends upon the Reimannian part of affine connection and has the same form as the corresponding equation of general relativity.