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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 11th 2018
    • (edited Sep 11th 2018)

    on the occasion of adding one more recent reference (Wells 18) I gave the paragraphs criticizing the concept their own subsection Problems with the concept.

    And then I took the liberty to add what I think is the key problem, which is however generally overlooked in these discussions, away from the small community of mathematical field theorists: Dependence on the renormalization scheme

    diff, v18, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 5th 2020

    added pointer to yesterday’s

    • Goran Senjanovic, Natural Philosophy versus Philosophy of Naturalness (arXiv:2001.10988)

    diff, v26, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeAug 25th 2022

    added the following pointer to this preprint, updated today:

    This already appeared last year, and was recorded then at hierarchy problem, but it deserves to go here into naturalness, too. The authors conclude:

    The aim of this work has been to stress that there is no physical sense in the naturalness criterion.

    diff, v30, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 7th 2023
    • (edited Aug 7th 2023)

    added pointer to:

    • Gerard ’t Hooft, Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking In: G. ’Hooft et al., Recent Developments in Gauge Theories, NATO Advanced Study Institutes Series 59, Springer (1980) [doi:10.1007/978-1-4684-7571-5_9]

    with this quote:

    [pp 135:] “it is unlikely that the microscopic equations contain various free parameters that are carefully adjusted by Nature to give cancelling effects such that the macroscopic systems have some special properties. This is a philosophy which we would like to apply to the unified gauge theories: the effective interactions at a large length scale, corresponding to a low energy scale μ 1\mu_1 should follow from the properties at a much smaller length scale, or higher energy scale μ 2\mu_2, without the requirement that various different parameters at the energy scale μ 2\mu_2 match with an accuracy of the order of μ 1/μ 2\mu_1/\mu_2. That would be unnatural.”

    and appended to the item

    this quote:

    “we seem to have to dial various renormalized quantities to small values. The situation of having numerous arbitrary dimensional parameters is even more humiliating when some of them are very small. […] First of all, we’d like to interpret small or nearly symmetric quantities as coming from a slightly broken symmetry; otherwise they don’t make sense to us. […] When we can’t avoid dialing some renormalized quantity to a small value […] that situation has recently been described as a problem of ’naturalness’.”

    diff, v31, current