有挠率、变色龙和磁场的Einstein-Cartan引力中慢中子的自旋进动
Spin Precession of Slow Neutrons in Einstein-Cartan Gravity with Torsion, Chameleon and Magnetic Field
摘要：
本文分析了在有挠率、变色龙和磁场的爱因斯坦-嘉当引力中慢中子的自旋进动。为了推导中子自旋的海森堡运动方程，我们使用Ivanov和Wellenzohn（Phys. Rev. D92，125004（2015））推导的慢中子的有效低能势，耦合到1/m阶的引力场、变色龙场和扭转场，其中m是中子质量。除了这种低能相互作用，我们还开启了慢中子与磁场的相互作用。证明了在旋转坐标系中运动的费米子（中子）的Dirac Hamilton算符，在引力场、变色龙场和挠率场的线性阶近似下，包含了由挠率标量和张量自由度引起的挠率-费米子（中子）相互作用的反厄米算符.这种反厄米算子违反CP和T不变性。我们可以假设，在旋转的宇宙和星系中，所得到的反厄米挠率-费米子相互作用可能是i）宇宙中CP和T不变性的破坏和ii）重子不对称性的起源。
英文摘要：
We analyse a spin precession of slow neutrons in the Einstein-Cartan gravity with torsion, chameleon and magnetic field. For the derivation of the Heisenberg equation of motion of the neutron spin we use the effective low-energy potential, derived by Ivanov and Wellenzohn (Phys. Rev. D92, 125004 (2015)) for slow neutrons, coupled to gravitational, chameleon and torsion fields to order 1/m, where m is the neutron mass. In addition to this low-energy interactions we switch on the interaction of slow neutrons with a magnetic field. We show that to linear order approximation with respect to gravitational, chameleon and torsion fields the Dirac Hamilton operator for fermions (neutrons), moving in spacetimes created by rotating coordinate systems, contains the anti-Hermitian operators of torsion-fermion (neutron) interactions, caused by torsion scalar and tensor degrees of freedom. Such anti-Hermitian operators violate CP and T invariance. One may assume that in the rotating Universe and galaxies the obtained anti-Hermitian torsion-fermion interactions might be an origin of i) violation of CP and T invariance in the Universe and ii) of baryon asymmetry.
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