具有高阶时间导数的随机过程的超对称性
Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives
摘要:
对于Langevin方程中含有任意N个时间导数的随机过程,给出了一种超对称路径积分表示,从而推广了Kramers研究的带惯性的Langevin方程,其中N=2.超对称作用量包含N个具有一阶时间导数的费米子场,其路径积分被计算为无费米子渐近态。
英文摘要:
A supersymmetric path integral representation is developed for stochastic processes whose Langevin equation contains any number N of time derivatives, thus generalizing the Langevin equation with inertia studied by Kramers, where N=2. The supersymmetric action contains N fermion fields with first-order time derivatives whose path integral is evaluated for fermionless asymptotic states.
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