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arXiv 2103.06746hep-lathep-phhep-thphysics.comp-phquant-ph
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仿射量子化欧氏自由实标量场两点函数连续极限的Monte Carlo估计

Monte Carlo evaluation of the continuum limit of the two-point function of the Euclidean free real scalar field subject to affine quantization

Riccardo Fantoni, John R. Klauder

摘要:

本文用Monte Carlo方法研究了四维格点上的量子化协变欧氏自由实标量场-理论的正则和仿射形式。我们计算的两点函数在裸耦合常数的小值和附近的连续极限在有限体积。我们的研究表明,仿射量子化是能够给出有意义的结果的两点函数,这是没有一个精确的解析结果,因此数值方法是必要的。

英文摘要:

We study canonical and affine versions of the quantized covariant Euclidean free real scalar field-theory on four dimensional lattices through the Monte Carlo method. We calculate the two-point function at small values of the bare coupling constant and near the continuum limit at finite volume. Our investigation shows that affine quantization is able to give meaningful results for the two-point function for which is not available an exact analytic result and therefore numerical methods are necessary.

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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