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arXiv math-ph/0303024math-phhep-thmath.MP
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作为积分参数分布的主值意义下的积分

Integral in the sense of principal value as a distribution over parameters of integration

M. L. Nekrasov

摘要:

在奇异函数或奇异函数乘积的主值意义下的积分在积分参数的某些取值范围内可以表现为奇异函数。在这种情况下,如果随后需要对参数进行积分,则会出现关于将初始积分解释为积分参数上的分布的问题。通过在量子场论中的实际应用,提出了一种解决这一问题的方法。

英文摘要:

An integral in the sense of principal value of a singular function or of product of singular functions can appear itself as a singular function in some range of values of integration parameters. In this case, if necessary subsequently to integrate with respect to parameters, the problem arises about interpretation of the initial integral as a distribution over the integration parameters. A solution to this problem is offered, which is initiated by actual applications in quantum field theory.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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