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Il Nuovo Cimento A (1965-1970)

, Volume 80, Issue 2, pp 141–167 | Cite as

A unified quantum-chromodynamics picture of broken chiral symmetry

  • N. H. Fuchs
  • M. D. Scadron
Article

Summary

The concepts of running quark masses and light plane quark wave functions are utilized in the framework of QCD to demonstrate that the neutral PCAC scheme of perturbative chiral-symmetry breaking not only follows in a consistent theoretical manner but also accommodates spontaneous breakdown of chiral symmetry. The QCD-based results strongly suggest that the perturbative current quark masses are determined by the scalemcurr ≈ 60 MeV and the ratio (ms/m)curr ≈ 5, while concurrently the nonperturbative dynamically generated quark mass ismdyn≈315 MeV.

PACS

12.90. - Miscellaneous theoretical ideas and models 

Единая квантово-хромодинамическая картина нарушенной киральной симметрии

Резюме

В рамках квантовой хромодинамики испльзуются концепции масс кварков и волновые функции кварков для иллюстрации, что схема нейтральных PCAC для пертурбационного нарушения киральной симметрии не только получается самосогласованным теоретическим образом, но также соответствует спонтанному нарушению киральной симметрии. Результаты, полученные в рамках квантовой хромодинамики, предполагают, что пертурбационные токовые массы кварков определяются масштабомmcur = 60 МэВ и отношением (ms/m)curr = 5, тогда как непертурбационная динамически образованная масса кварка равнаmdyn=315 МэВ.

Riassunto

Si utilizzano i concetti di massa del quark corrente e le funzioni d’onda del quark del piano della luce nell’àmbito della QCD per dimostrare che lo schema della PCAC neutra della rottura perturbativa della simmetria chirale non solo consegue in modo teorico consistente dà spazio alla rottura spontanea della simmetria chirale. I risultati basati sulla QCD suggeriscono marcatamente che le masse perturbative dei quark di corrente sono determinati dallamcurr ≈ 60 MeV e il rapporto (ms/m)curr ≈ 5, mentre in concomitanza la massa dei quark non perturbativa generata dimanicamente èmdyn≈315 MeV.

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Copyright information

© Società Italiana di Fisica 1984

Authors and Affiliations

  • N. H. Fuchs
    • 1
  • M. D. Scadron
    • 2
  1. 1.Department of PhysicsPurdue UniversityWest Lafayette
  2. 2.Department of PhysicsUniversity of ArizonaTucson

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