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现场数字化缩放在一个Z_{N}U(1) 对称模型.

Gabriele Calliari1, Robert Ott1, Hannes Pichler1

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概括
此摘要是机器生成的。

我们介绍了场数字化缩放 (FDS) 以连接离散场值 (N) 连续结果在量子场理论模拟. 该方法使用重新规范化组技术来分析数字化量子场理论.

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科学领域:

  • 理论物理 理论物理
  • 计算物理 计算物理
  • 凝聚物质物理学 凝聚物质物理学

背景情况:

  • 模拟量子场理论需要处理无限的自由度.
  • 字段数字化 (FD) 将字段截断为N个离散值,但缺乏连续结果的框架.

研究的目的:

  • 为分析现场数字化 (FD) 开发一个全面的框架.
  • 将FD中的N参数解释为重新规范化组 (RG) 合.
  • 引入和应用现场数字化缩放 (FDS) 以获得连续结果.

主要方法:

  • 将FD中的N解释为RG合.
  • 使用有效的场理论和RG来导出缩放假设.
  • 使用数值张量网络计算.
  • 关于经典和量子模型的分析证明.

主要成果:

  • 衍生出涉及FD参数N的一般化缩放假设.
  • 在2D时钟模型中发现了一个由有限N引发的非传统的通用交叉.
  • 经过证明的FDS可以描述债券维度 (χ) 和N的相互作用.
  • 证明了2D经典统计模型和 (2+1) D量子尺度理论之间的直接关系.

结论:

  • FDS提供了一种方法来关联来自不同N规范化模型的数据.
  • 这项研究为复杂模型的量子模拟中FDS应用铺平了道路.
  • FDS可以成为分析数字化量子场理论的连续极限的工具.