About: Vafa–Witten theorem

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In theoretical physics, the Vafa–Witten theorem, named after Cumrun Vafa and Edward Witten, is a theorem that shows that vector-like global symmetries (those that transform as expected under reflections) such as isospin and baryon number in vector-like gauge theories like quantum chromodynamics cannot be spontaneously broken as long as the theta angle is zero. This theorem can be proved by showing the exponential fall off of the propagator of fermions.

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  • In theoretical physics, the Vafa–Witten theorem, named after Cumrun Vafa and Edward Witten, is a theorem that shows that vector-like global symmetries (those that transform as expected under reflections) such as isospin and baryon number in vector-like gauge theories like quantum chromodynamics cannot be spontaneously broken as long as the theta angle is zero. This theorem can be proved by showing the exponential fall off of the propagator of fermions. (en)
  • Vafa-Wittenの定理とは、QCDのようなベクトル型のゲージ理論におけるベクトル型の連続対称性が自発的に破れないという定理である。この定理から、連続なQCDにおける大域対称性や、バリオン数・ストレンジネスの保存といった対称性が、自発的に破れない理由が説明できる。この定理の証明は、フェルミオンの伝搬関数が距離に対して指数関数的に減衰するので、南部・ゴールドストーン粒子が存在しないことが示せるという事から従う。 (ja)
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  • In theoretical physics, the Vafa–Witten theorem, named after Cumrun Vafa and Edward Witten, is a theorem that shows that vector-like global symmetries (those that transform as expected under reflections) such as isospin and baryon number in vector-like gauge theories like quantum chromodynamics cannot be spontaneously broken as long as the theta angle is zero. This theorem can be proved by showing the exponential fall off of the propagator of fermions. (en)
  • Vafa-Wittenの定理とは、QCDのようなベクトル型のゲージ理論におけるベクトル型の連続対称性が自発的に破れないという定理である。この定理から、連続なQCDにおける大域対称性や、バリオン数・ストレンジネスの保存といった対称性が、自発的に破れない理由が説明できる。この定理の証明は、フェルミオンの伝搬関数が距離に対して指数関数的に減衰するので、南部・ゴールドストーン粒子が存在しないことが示せるという事から従う。 (ja)
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  • Vafa-Wittenの定理 (ja)
  • Vafa–Witten theorem (en)
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