Particle propagators on discrete spacetime
Particle propagators on discrete spacetime
复制标题
离散时空上的粒子传播器
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
S. Johnston
中科院分区：
文献类型：
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作者：
S. Johnston
给出了粒子在因果集的离散时空上传播的量子力学描述。该模型涉及一个离散路径积分，其中因果集内的轨迹被求和以获得粒子传播子。轨迹和是通过矩阵几何级数来实现的。对于由洒点在1+1和3+1维闵可夫斯基时空中产生的因果集，在适当的意义上，在因果集上计算的传播子与Klein-Gordon方程的因果延迟传播子一致。这里描述的粒子传播子是向因果集时空量子场论迈进的一步。
A quantum mechanical description of particle propagation on the discrete spacetime of a causal set is presented. The model involves a discrete path integral in which trajectories within the causal set are summed over to obtain a particle propagator. The sum-over-trajectories is achieved by a matrix geometric series. For causal sets generated by sprinkling points into 1+1 and 3+1 dimensional Minkowski spacetime the propagator calculated on the causal set is shown to agree, in a suitable sense, with the causal retarded propagator for the Klein–Gordon equation. The particle propagator described here is a step towards quantum field theory on causal set spacetime.