Monte Carlo Evaluation of the Continuum Limit of the Two-Point Function of the Euclidean Free Real Scalar Field Subject to Affine Quantization

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 ab...

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Bibliographic Details
Published inJournal of statistical physics Vol. 184; no. 3
Main Authors Fantoni, Riccardo, Klauder, John R.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.09.2021
Springer
Springer Nature B.V
Subjects
Analysis
Euclidean geometry
Field theory
Mathematical and Computational Physics
Measurement
Monte Carlo method
Monte Carlo simulation
Numerical methods
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Scalars
Statistical Physics and Dynamical Systems
Theoretical
Monte Carlo method
05.10.Ln
Euclidean free real scalar field-theory
03.50.-z
Continuum limit
02.70.Ss
02.70.Uu
Two-point function
Affine quantization
11.10.Gh
11.10.Kk
Canonical quantization
11.10.-z
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-021-02818-x