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arXiv 1204.6504hep-th
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有效粒子的重整化群过程:有限质量修正和无真空的精确解的基本例子

Renormalization group procedure for effective particles: elementary example of exact solution with finite mass corrections and no involvement of vacuum

Stanislaw D. Glazek

摘要:

本文将哈密顿动力学前沿形式中有效粒子的重整化群方法应用于两类粒子通过类质量相互作用项混合的基本量子场论。模型的相互作用只产生有限项和程序产生一个等效的有效理论的整个家庭。在动力学中没有真空态参与的情况下,找到了该族的精确解。物理光谱是在程序结束时以具有确定质量的自由粒子的形式获得的。由于该过程是一般性设计的,因此它也可以用于构建有效动力学的目的,而不是在基本模型中。

英文摘要:

Renormalization group procedure for effective particles in the front form of Hamiltonian dynamics is applied to an elementary quantum field theory for two species of particles mixed through a mass-like interaction term. The model interaction generates only finite terms and the procedure yields a whole family of equivalent effective theories. The exact solution for the family is found without involvement of the vacuum state in the dynamics. Physical spectrum is obtained at the end of the procedure in the form of free particles with definite masses. Since the procedure is designed in general terms, it could be used for the purpose of constructing effective dynamics also in other theories than the elementary model.

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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