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Open Quantum Systems Decoherence Quantum Simulation

Scaled Affine Quantization of Ultralocal varphi42 a comparative Path Integral Monte Carlo study with Canonical Quantization

arXiv
Authors: Riccardo Fantoni, John R. Klauder

Year

2021

Paper ID

61205

Status

Preprint

Abstract Read

~2 min

Abstract Words

117

Citations

N/A

Abstract

After the success of affine quantization in proving through Monte Carlo analysis that the covariant euclidean scalar field theory, varphirn, where r denotes the power of the interaction term and n = s + 1 with s the spatial dimension and 1 adds imaginary time, such that r geq 2n/(n-2) can be acceptably quantized and the resulting theory is nontrivial, unlike what happens using canonical quantization, we show here that the same has to be expected for r>2 and any n even for the ultralocal field theory. In particular we consider the ultralocal varphi42 model and study its renormalized properties for both the scaled canonical quantization version and the scaled affine quantization version through path integral Monte Carlo.

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  • After the success of affine quantization in proving through Monte Carlo analysis that the covariant euclidean scalar field theory, varphi^rn, where r denotes the power of the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2109.13447 [2] arXiv https://arxiv.org/abs/2109.13447 [3] Publisher https://arxiv.org/abs/2109.13447

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