期刊
JOURNAL OF STATISTICAL PHYSICS
卷 184, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/s10955-021-02818-x
关键词
Monte Carlo method; Euclidean free real scalar field-theory; Canonical quantization; Affine quantization; Two-point function; Continuum limit
The study focuses on the canonical and affine versions of the quantized covariant Euclidean free real scalar field-theory on four dimensional lattices, utilizing the Monte Carlo method to calculate the two-point function near the continuum limit at finite volume. The investigation reveals that affine quantization provides meaningful results for the two-point function when exact analytic results are unavailable, highlighting the necessity of numerical methods.
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 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.
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