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April 30, 2026Nuclear Physics B0 citationsOpen Access

William A. Bardeen: A Life in Physics and the Legacy of the Chiral Anomaly

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CHChristopher T. Hill

Key Points

  • The aim is to summarize the life and contributions of William A. Bardeen in theoretical physics.
  • Biographical narrative focusing on Bardeen's achievements in physics
  • Detailed discussion of key concepts like chiral anomaly and quantum chromodynamics
  • Historical context regarding Bardeen's work in particle physics
  • Bardeen contributed significantly to the understanding of the chiral anomaly and gravitational anomalies.
  • He developed the Adler-Bardeen theorem and advanced quantum chromodynamics applications.
  • His work on top quark condensates aided in understanding electroweak symmetry breaking.

Abstract

William Allan Bardeen (September 15, 1941 − November 18, 2025) was an American theoretical physicist who worked at the Fermi National Accelerator Laboratory. He is renowned for his foundational work on the chiral anomaly, the Adler-Bardeen theorem, the non-Abelian anomaly and gravitational anomalies. He was instrumental in the development of quantum chromodynamics and its applications, such as semileptonic decays and the Λ M S ¯ scheme frequently used in perturbative analysis of high energy processes involving strong interactions. Bardeen also played a major role in developing a theory of dynamical breaking of electroweak symmetry via top quark condensates, leading to one of the first composite Brout-Englert-Higgs boson models. His work on the chiral symmetry dynamics of heavy-light quark bound states correctly predicted abnormally long-lived resonances which are chiral symmetry partners of the ground state.

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Christopher T. Hill (2026) studied this question.

synapsesocial.com/papers/69f2a4b78c0f03fd67763d68https://doi.org/10.1016/j.nuclphysb.2026.117480
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