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arXiv 1903.02413hep-ph
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猝灭标量Yukawa理论中耦合团簇方法的收敛性

Convergence of the light-front coupled-cluster method in quenched scalar Yukawa theory

Sophia S. Chabysheva, John R. Hiller

摘要:

本文在二维猝灭标量汤川理论的背景下研究了光阵面耦合团簇(LFCC)方法的收敛性。这个理论足够简单,高阶LFCC计算相对简单。淬灭是为了保持稳定性;具有对产生和湮灭的完整理论的谱从下面是无限的。猝灭理论中的基本相互作用只是中性标量的发射和吸收。LFCC方法建立本征态与一个复杂的标量和一个云的中性从价态,这只是复杂的标量和行动的指数运营商,创造中性。最低阶LFCC运算符创建一个;我们添加下一阶,一个项创建两个。在这个顺序有两个中性和一个复杂的标量的波函数的直接贡献和额外的贡献,所有更高的福克波函数的指数。最低阶和这个新的二阶近似的结果进行比较与标准的Fock状态扩展。LFCC方法被发现允许本征态的表示与远少于收敛的Fock状态展开中所需的波函数的数量的功能。

英文摘要:

We explore the convergence of the light-front coupled-cluster (LFCC) method in the context of two-dimensional quenched scalar Yukawa theory. This theory is simple enough for higher-order LFCC calculations to be relatively straightforward. The quenching is to maintain stability; the spectrum of the full theory with pair creation and annihilation is unbounded from below. The basic interaction in the quenched theory is only emission and absorption of a neutral scalar by the complex scalar. The LFCC method builds the eigenstate with one complex scalar and a cloud of neutrals from a valence state that is just the complex scalar and the action of an exponentiated operator that creates neutrals. The lowest order LFCC operator creates one; we add the next order, a term that creates two. At this order there is a direct contribution to the wave function for two neutrals and one complex scalar and additional contributions to all higher Fock wave functions from the exponentiation. Results for the lowest order and this new second-order approximation are compared with those obtained with standard Fock-state expansions. The LFCC approach is found to allow representation of the eigenstate with far fewer functions than the number of wave functions required in a converged Fock-state expansion.

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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