A RANDOM-WALK REPRESENTATION OF THE DIRAC PROPAGATOR

被引：33

作者：

AMBJORN, J

DURHUUS, B

JONSSON, T

机构：

[1] MATH INST,DK-2100 COPENHAGEN 0,DENMARK

[2] NORDITA,DK-2100 COPENHAGEN O,DENMARK

来源：

NUCLEAR PHYSICS B | 1990年 / 330卷 / 2-3期

关键词：

D O I：

10.1016/0550-3213(90)90121-S

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We define a discrete random walk with a matrix-valued transition function and show that the scaling limit of the two-point function of the walk is given by the Dirac propagator. We study the scaling limit of similar walks with curvature-dependent transition functions, which are analogous to the Ornstein-Uhlenbeck process, and show that the Dirac propagator can be recovered by a limiting procedure. © 1990.

引用

页码：509 / 522

页数：14

共 22 条

[1]

AFFLECK I, U BRIT COLUMBIA PREP

[2] PROPAGATOR FOR THE RELATIVISTIC SPINNING PARTICLE VIA FUNCTIONAL INTEGRAL OVER TRAJECTORIES [J].