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arXiv 2312.09396hep-thquant-ph
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量子基础作为完善粒子理论的指引

Quantum Foundations as a Guide for Refining Particle Theories

Gerard t Hooft

AI总结:

该研究解释了相互作用玻色子量子场论零阶微扰对应非相互作用谐振子的特征,指出终止微扰展开可得到可与量子理论对比的经典理论,认为经典模型研究或能为基本常数起源提供新线索。

摘要:

所有描述相互作用玻色基本粒子的量子场论,都具有零阶微扰展开描述非相互作用谐振子的特征,本文对此作出了解释。随后我们指出,引入相互作用后仍能得到可与量子理论对比的经典理论,但前提是我们必须在某处终止展开。当部分经典变量涨落过快以至于无法采用常规描述时,通常就会出现“量子效应”,因此这些变量只能通过其能量本征模来描述;这些本征模与标准经典变量不对易。经典理论从根本上并不需要微扰展开,这也是经典理论比量子理论定义更精确的原因。由于展开参数涉及精细结构常数等自然界的基本常数,我们认为对这些经典模型的研究可能会为这些常数的起源提供新线索。

英文摘要:

All quantum field theories that describe interacting bosonic elementary particles, share the feature that the zeroth order perturbation expansion describes non-interacting harmonic oscillators. This is explained in the paper. We then indicate that introducing interactions still leads to classical theories that can be compared with the quantum theories, but only if we terminate the expansion somewhere. `Quantum effects' typically occur when some of the classical variables fluctuate too rapidly to allow a conventional description, so that these are described exclusively in terms of their energy eigen modes; these do not commute with the standard classical variables. Perturbation expansions are not fundamentally required in classical theories, and this is why classical theories are more precisely defined than the quantum theories. Since the expansion parameters involve the fundamental constants of nature, such as the finestructure constant, we suggest that research in these classical models may lead to new clues concerning the origin of these constants.

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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