Spin-Spin Interactions in Gauge Theory of Gravity, Violation of Weak Equivalence Principle and New Classical Test of General Relativity |
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Authors: | WU Ning |
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Institution: | Institute of High Energy Physics, P.O. Box 918-1,
the Chinese Academy of Sciences, Beijing 100049, China |
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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, and
a theory with spin-spin interactions is not perturbatively renormalizable.
But this is not true. By studying the motion of a spinning particle in
gravitational field, it is found that there exist spin-spin interactions in
gauge theory of gravity. Its mechanism is that a spinning particle will
generate gravitomagnetic field in space-time, and this gravitomagnetic field
will interact with the spin of another particle, which will cause spin-spin
interactions. 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 renormalizability
of 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. |
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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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