Exact Green function for neutral Pauli-Dirac particle with anomalous magnetic momentum in linear magnetic field

被引:5
|
作者
Merdaci, Abdeldjalil [1 ]
Jellal, Ahmed [2 ,3 ]
Chetouani, Lyazid [4 ]
机构
[1] King Faisal Univ, Coll Sci, Phys Dept, POB 380, Alahsa 31982, Saudi Arabia
[2] Chouaib Doukkali Univ, Fac Sci, Theoret Phys Grp, POB 20, El Jadida 24000, Morocco
[3] Saudi Ctr Theoret Phys, Dhahran, Saudi Arabia
[4] Univ Freres Mentouri, LPMPS, Constantine 25000, Algeria
关键词
Pauli-Dirac fermion; Anomalous magnetic momentum; Magnetic field; Green function; Production rate; PAIR CREATION; VACUUM;
D O I
10.1016/j.aop.2017.06.023
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that the propagator of the neutral Pauli-Dirac particle with an anomalous magnetic moment in an external linear magnetic field B(x) = B + B'x is the causal Green function Sc(x(b), x(a)) of the Pauli-Dirac equation. The corresponding Green function is calculated via path integral method in global projection, giving rise to the exact eigenspinor expressions. The effective action is used to explicitly determine the production rate in vacuum of neutral Dirac particle in terms of B' and mu which is B independent. (C) 2017 Elsevier Inc. All rights reserved.
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页码:116 / 127
页数:12
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