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Spin-Spin Interactions in Gauge Theory of Gravity, Violation of Weak Equivalence Principle and New Classical Test of General Relativity
Authors:WU Ning
Affiliation:Institute of High Energy Physics, P.O. Box 918-1,the Chinese Academy of Sciences, Beijing 100049, China
Abstract:For a long time, it has been generally believed that spin-spin interactions can only exist in a theory where Lorentz symmetry is gauged, anda theory with spin-spin interactions is not perturbatively renormalizable.But this is not true. By studying the motion of a spinning particle ingravitational field, it is found that there exist spin-spin interactions ingauge theory of gravity. Its mechanism is that a spinning particle willgenerate gravitomagnetic field in space-time, and this gravitomagnetic fieldwill interact with the spin of another particle, which will cause spin-spininteractions. So, spin-spin interactions are transmitted by gravitational field. The form of spin-spin interactions in post Newtonian approximations is deduced. This result can also be deduced from the Papapetrou equation. This kind of interaction will not affect the renormalizabilityof the theory. The spin-spin interactions will violate the weak equivalence principle, and the violation effects are detectable. An experiment is proposed to detect the effects of the violation of the weak equivalence principle.
Keywords:spin-spin interactions; weak equivalence principle; equation of motion of a spinning particle; experimental test of gravity theory; post-Newtonian approximation
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