Scholarlink

<p>I present a large-<i>N</i> determination of the topological susceptibility <i>χ</i> of SU(<i>N</i>) Yang-Mills theories using non-perturbative numerical Monte Carlo simulations of the lattice-discretized theory for 3 ≤ <i>N</i> ≤ 6, and adopting the Parallel Tempering on Boundary Conditions (PTBC) algorithm to bypass topological freezing for <i>N &gt;</i> 3. Thanks to this algorithm I am able to explore a uniform range of lattice spacings across all values of <i>N</i>, and to precisely determine <i>χ</i> for finer lattice spacings compared to previous studies with periodic or open boundary conditions. By taking the continuum limit at fixed smoothing radius in physical units, I am also able to show the independence of the continuum limit of <i>χ</i> from this choice. I conclude providing a comprehensive comparison of my new PTBC results with previous determinations of the topological susceptibility in the literature, both at finite <i>N</i> and in the large-<i>N</i> limit.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The large-N limit of the topological susceptibility of SU(N) Yang-Mills theories via Parallel Tempering on Boundary Conditions

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年1月5日

查看全文
  • Claudio Bonanno

摘要

I present a large-N determination of the topological susceptibility χ of SU(N) Yang-Mills theories using non-perturbative numerical Monte Carlo simulations of the lattice-discretized theory for 3 ≤ N ≤ 6, and adopting the Parallel Tempering on Boundary Conditions (PTBC) algorithm to bypass topological freezing for N > 3. Thanks to this algorithm I am able to explore a uniform range of lattice spacings across all values of N, and to precisely determine χ for finer lattice spacings compared to previous studies with periodic or open boundary conditions. By taking the continuum limit at fixed smoothing radius in physical units, I am also able to show the independence of the continuum limit of χ from this choice. I conclude providing a comprehensive comparison of my new PTBC results with previous determinations of the topological susceptibility in the literature, both at finite N and in the large-N limit.