Topological term and non-peruturbative fluctuations

拓扑项和非微扰涨落

• 批准号: 10640276
• 负责人: YONEYAMA Hiroshi
• 金额: $ 1.86万
• 依托单位: Saga University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640276/
• 关键词: Lattice field theory; Topological term; Phase Structure; Monte Carlo simulation; Topology; Topological charge; Fixed point action; テータ項; スケーリング; CP(N-1)模型; strong CP

Topology is expected to play an important role in the dynamics of QCD. It is an important issue to study non-perturbatively a topological term. In this research, we study CP (N-1) model with topological term by means of Monte Carlo simulations. In order to perform simulations for the complex Bo1tzmann weight, we adopt a method by which topological charge distribution P (Q) is measured.This method produces in some cases the flattening behaviors of the free energy as a function of theta. We find that the flattening is attributed to errors in calculating P (Q). We also compute the CP (N-1) model with fixed point action in order to study the continuum feature.For CP (3) case, P (Q), free energy and correlation lengths show very nice scaling behaviors.

拓扑预计将在QCD的动力学中发挥重要作用。这是一个重要的问题，是在拓扑术语上研究。在这项研究中，我们通过蒙特卡洛模拟研究了具有拓扑项的CP（N-1）模型。为了对复杂的Bo1tzmann重量进行模拟，我们采用了一种测量拓扑电荷分布p（q）的方法。在某些情况下，这种方法会产生自由能的扁平行为，这与Theta的函数。我们发现扁平化归因于计算p（q）中的错误。我们还计算了具有固定点作用的CP（N-1）模型，以研究连续性特征。对于CP（3）情况，P（Q），自由能和相关长度显示出非常好的缩放行为。

项目成果

Masahiro Imachi: "Two-Dimensional CP^2 Model with θ-Term and Topological Charge Distributions"Progress of Theoretical Physics. 102・3. 633-670 (1999)

Masahiro Imachi：“具有 θ 项和拓扑电荷分布的二维 CP^2 模型”理论物理进展 102・3（1999）。

Masahiro,Imachi: "Phase structure of CP_<(N-1)> model with topological term" Nuclear Physics B(Proc.Suppl.). (to be published). (1999)

Masahiro,Imachi：“具有拓扑项的 CP_<(N-1)> 模型的相结构”核物理 B（Proc.Suppl.）。

"Two-Dimensional CP2 Model with theta-Term and Topological Charge Distributions"Progress of Theoretical Physics. 102, No.3. 633-670 (1999)

“具有theta项和拓扑电荷分布的二维CP2模型”理论物理进展。

Masahiro Imachi: "Two-Dimensional CP^2 Model with θ-Term and topological Charge Distributions"Progress of Theoretical Physics. 102. 633-670 (1999)

Masahiro Imachi：“具有 θ 项和拓扑电荷分布的二维 CP^2 模型”理论物理进展 102. 633-670 (1999)。