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arXiv 1208.6503hep-ph
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量子场论的非微扰耦合团簇方法

A nonperturbative coupled-cluster method for quantum field theories

J. R. Hiller

摘要:

用Dirac光阵面坐标表示量子场论束缚态的非微扰哈密顿本征值问题,然后用多体耦合集团方法的指数算符技术近似求解.这种近似消除了对Fock空间截断的通常近似的任何需要。相反,取幂算子被截断,保留的项由一组非线性积分方程确定。这些方程的有效本征值问题的价部门,其中组分的数量是小的同时解决。矩阵元素可以计算,从多体耦合集团理论的技术扩展,以获得形状因子和其他可观的。

英文摘要:

The nonperturbative Hamiltonian eigenvalue problem for bound states of a quantum field theory is formulated in terms of Dirac's light-front coordinates and then approximated by the exponential-operator technique of the many-body coupled-cluster method. This approximation eliminates any need for the usual approximation of Fock-space truncation. Instead, the exponentiated operator is truncated, and the terms retained are determined by a set of nonlinear integral equations. These equations are solved simultaneously with an effective eigenvalue problem in the valence sector, where the number of constituents is small. Matrix elements can be calculated, with extensions of techniques from many-body coupled-cluster theory, to obtain form factors and other observables.

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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