论文标题

有效的前形式汉密尔顿人的计算大规模阿伯利亚仪表理论

Computation of effective front form Hamiltonians for massive Abelian gauge theory

论文作者

Glazek, Stanislaw D.

论文摘要

有效颗粒(RGPEP)的重新归一化组程序是根据二阶扰动计算到Abelian仪表理论方面应用的,这是值得研究的应用程序的一个例子,以研究结合状态的界定状态及其党派模型图像汉密尔顿动力学的党派模量图之间的动力学连接的方式。 In addition to the ultraviolet transverse divergences that are handled using the RGPEP in previously known ways, the small-x divergences are handled by introducing a mass parameter and a third polarization state for gauge bosons using a mechanism analogous to spontaneous breaking of global gauge symmetry, in a special limit that simplifies the theory to Soper's front form of massive QED.确定了在简化理论中涉及的有效成分或参数动力学的量表的数量级。在本文中提到了订单中的计算,但未描述。

Renormalization group procedure for effective particles (RGPEP) is applied in terms of a second-order perturbative computation to an Abelian gauge theory, as an example of application worth studying on the way toward derivation of a dynamical connection between the spectroscopy of bound states and their parton-model picture in the front form of Hamiltonian dynamics. In addition to the ultraviolet transverse divergences that are handled using the RGPEP in previously known ways, the small-x divergences are handled by introducing a mass parameter and a third polarization state for gauge bosons using a mechanism analogous to spontaneous breaking of global gauge symmetry, in a special limit that simplifies the theory to Soper's front form of massive QED. The resulting orders of magnitude of scales involved in the dynamics of effective constituents or partons in the simplified theory are identified for the fermion and boson mass counter terms, effective masses and self-interactions, as well as for the Coulomb-like effective interactions in bound states of fermions. Computations in orders higher than second are mentioned but not described in this article.

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