用狄拉克δ函数近似值法处理费米子自能紫外积分发散问题

大学物理 ›› 2007, Vol. 26 ›› Issue (10): 5-5.

用狄拉克δ函数近似值法处理费米子自能紫外积分发散问题

王宗祥

大庆石油学院化学化工学院,黑龙江大庆163318

出版日期:2007-10-25 发布日期:2007-10-20

Treatment of the ultra-violet integral divergence of the self-energy for fermions with the method of approximate values of Dirac δ function

Online:2007-10-25 Published:2007-10-20

摘要/Abstract

摘要： 用狄拉克δ函数近似值法的扩展规则导出了电子自能的正规化公式，其形式与文献中用Pauli—Villars法和空-时维度法所得公式大致相似．同时还推导了重整化自能公式，与文献中的完全相同，最后建立了相对项拉氏密度公式．

关键词: 量子场相互作用, 费米子自能, 紫外发散, 狄拉克δ函数

Abstract: With the extension rule of the method of approximate values ot Dirac δ functiona set regularization equations for the electron self-energy is developed. The equations are similar to those in reference books such as the Pauli-Villars as well as the dimensional regularization equations. The renormalized self-energy equation for electrons is as well developed which is the same as that in reference books. Finally the counterterm Lagrangian equation is confirmed.

Key words: quantum field interactions, self-energy for fermions, ultra-violet divergence, Dirac δ function

中图分类号:

O412.3

王宗祥. 用狄拉克δ函数近似值法处理费米子自能紫外积分发散问题[J]. 大学物理, 2007, 26(10): 5-5.