Ultraviolet Behavior of Non-Abelian Gauge Theories
Article
Domain Context
Physics
Citation
David J. Gross and Frank Wilczek. (1973). Ultraviolet Behavior of Non-Abelian Gauge Theories. Physical Review Letters. 30. pp. 1343–1346.
Why this reference is included
Gross and Wilczek’s 1973 Ultraviolet Behavior of Non-Abelian Gauge Theories, published in Physical Review Letters, is one of the program’s working technical references. Cited across Book III (Categorical Spectrum), Part 5, Chapter The Yang–Mills Mass Gap; Book IV (Categorical Microcosm), Part 4, Chapter Strong Coupling and Quarks — the central framing is “The asymptotic freedom of the non-Abelian gauge theory underlying this problem was established by Gross–Wilczek”.
Cited in
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Book III — Categorical Spectrum Part 5Chapter The Yang–Mills Mass Gap
The asymptotic freedom of the non-Abelian gauge theory underlying this problem was established by Gross–Wilczek
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Book IV — Categorical Microcosm Part 4Chapter Strong Coupling and Quarks
Gross, Wilczek, and Politzer showed in 1973 that the SU(3) beta function is negative: β(g_s) = -g_s^316π^2(11 - 2N_f3) giving the running coupling: α_s(Q^2) = 12π(33 - 2N_f)(Q^2/Λ_QCD^2) with Λ_QCD ≈ 200 MeV