Eliminativism and the QCD \(\theta_{\mathrm{YM}}\)-term: what gauge transformations cannot do (Q6570235)

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scientific article; zbMATH DE number 7879203
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Eliminativism and the QCD \(\theta_{\mathrm{YM}}\)-term: what gauge transformations cannot do
scientific article; zbMATH DE number 7879203

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    Eliminativism and the QCD \(\theta_{\mathrm{YM}}\)-term: what gauge transformations cannot do (English)
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    10 July 2024
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    The nature of the \((F\wedge F)\) term in the Yang-Mills models is investigated. It is argued that while this term (its trace) is fully gauge-invariant (whether the gauge transformation is small or large), and is a total derivative (hence not affecting the equation of motion), its integral is a topological quantity, and hence is physical (observable).
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    Yang-Mills theory
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    fiber bundle
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    bundle topology
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    gauge degree of freedom
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    full gauge-invariance
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    second Chern number
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