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精确计算重整化N-圈传播子的新计算方法
  • ISSN号：1000-582X
  • 期刊名称：《重庆大学学报：自然科学版》
  • 时间：0
  • 分类：O365[理学—流体力学;理学—力学] O230[理学—运筹学与控制论;理学—数学]
  • 作者机构：[1]重庆大学理论物理研究所,重庆400030, [2]重庆通信学院,重庆400035
  • 相关基金：国家自然科学基金资助项目（10575140）;重庆市自然科学基金资助项目（8562）;973计划项目（2003CB71603）
作者： 张忠灿[1], 蒋再富[1], 方祯云[1], 高飞, 蒋敏[1], 陈文锁[1]
关键词： N--↑N单圈传播子, 动量重整化, 动量正规化, Feynman收敛积分, 矩阵函数展开法, 大动量积分极限法, N - -↑N one-loop propagator, moment renormalization, moment regularization, feynman convergence integral, methods of matrix function expansion, great moment integral limitation
中文摘要：

采用核子N（反核子-↑N）与中性介子π^0相互作用的Lorentz不变耦合模型，对N—-↑N图图传播子在“动量重整化方案”中的“动量正规化”作了深入细致的分析与考证，发现可以采用“矩阵函数展开法”来替代通常采用的“传统减除法”，并由此对N—-↑N圈图传播子函数中的“发散量”与“有限量”作了十分简捷有效的分离，获得了“重整化有限量”的一个具有“明确计算含义”的表达式．进而，又对所获得的结果采用“大动量积分极限法”作了十分有效的计算处理，获得了可供作“严格解析计算”的一个“一维积分计算表达式”——这将为“精确计算”N—-↑N圈图传播子重整化有限量提供出简捷可行的有效计算途径与方法．

英文摘要：

In the Lorentz invariant coupling model of the interaction between nucleon N （antinucleon -↑N） and neutral meson ,π^0, the authors thoroughly analyze the moment regularization of N - -↑N loop propagator in the moment renormalization, and find that traditional minus - dividing can be substituted by the matrix function expanding. By using it they can effectively separate out the finite quantity from the divergent quantity in the N - -↑N loop propagator function obtain the expression of the renormalization finite quantity of N - -↑N loop propagator. By dealing with it by the great moment integral limitation, the calculating expression of one-dimension integral, can be obtained which can be used in strictly analytic calculation, so that it can provide an effectively means of accurately calculating the renormalized finite quantity of N - -↑N loop propagator.

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期刊信息
  • 《重庆大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:重庆大学
  • 主编：王时龙
  • 地址：重庆市沙坪坝正街174号
  • 邮编：400044
  • 邮箱：cdxhz@equ.edu.cn
  • 电话：023-65102302
  • 国际标准刊号：ISSN：1000-582X
  • 国内统一刊号：ISSN：50-1044/N
  • 邮发代号:78-16
  • 获奖情况:
  • 中国高校精品科技期刊，重庆市一级期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,波兰哥白尼索引,荷兰文摘与引文数据库,美国剑桥科学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:26478