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arXiv 1907.07985hep-phhep-lat
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作为有效轻介子理论的$O(4)$ $ϕ^4$模型：晶格-连续介质的比较

The $O(4)$ $ϕ^4$ model as an effective light meson theory: A lattice-continuum comparison

Gergely Markó, Zsolt Szép

备注：
9 pages, 8 figures, published version
发表信息：
Phys. Rev. D 100, 056017 (2019)
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摘要：

我们研究了四维$O(4)$对称$ϕ^4$模型作为σ-π系统有效理论的可能性。我们进行晶格蒙特卡罗模拟建立平凡界的情况下，明确破缺对称性，并比较它与连续泛函方法的结果。在一个物理参数化的情况下，我们发现，平凡限制可能的晶格间距到一个狭窄的范围内，因此，截止独立的有效理论意义上的热量实际上是不可能的。我们用不同的方法在裸耦合空间中匹配临界线，并沿着常数物理线（LCP）比较真空物理量。

英文摘要：

We investigate the possibility of using the 4 dimensional $O(4)$ symmetric $ϕ^4$ model as an effective theory for the sigma-pion system. We carry out lattice Monte Carlo simulations to establish the triviality bound in the case of explicitly broken symmetry and to compare it with results from continuum functional methods. In case of a physical parametrization we find that triviality restricts the possible lattice spacings to a narrow range, therefore cutoff independence in the effective theory sense is practically impossible for thermal quantities. We match the critical line in the space of bare couplings in the different approaches and compare vacuum physical quantities along the line of constant physics (LCP).

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