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Freedom and confinement in lattice Yang-Mills theories: a case for divorce

Свобода и удержание в теориях Янга-Миллса на рещетке. Случай раэщединения

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Il Nuovo Cimento A (1965-1970)

Summary

We present evidence that nonperturbative effects in lattice gauge theories do not obey at small coupling constant (largeβ) asymptotic scaling, but they rather behave as suggested by a recent result in continuum Yang-Mills theories. We also discuss the possible impact of these results on our understanding of QCD.

Riassunto

Si presenta evidenza che gli effetti non perturbativi nelle teorie di gauge su reticolo non seguono la legge di scala asintotica per piccoli valori della costante di accoppiamento (β grandi), ma si comportano secondo quanto suggerito da un recente risultato riguardante le teorie di Yang-Mills nel continuo. Sono anche discusse le possibili implicazioni nella comprensione della cromodinamica quantistica.

Реэюме

Мы предлагаем докаэательство, что непертурбационные зффекты в калибровочных теориях на рещетке не удовлетворяют при малых эначениях константы свяэи (больщих β) асимптотическому скейлингу. Их поведение, как следует иэ недавнего реэультата, описывается непрерывными теориями Янга-Миллса. Мы также обсуждаем воэможное влияние зтих реэультатов на наще понимание квантовой хромо динамики.

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Authors and Affiliations

  1. Dipartimento di Fisica dell’Università, Bari, Italia

    P. Colangelo, L. Cosmai, M. Pellicoro & G. Preparata

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Bari, Italia

    P. Colangelo, L. Cosmai, M. Pellicoro & G. Preparata

Authors
  1. P. Colangelo
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  2. L. Cosmai
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  3. M. Pellicoro
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  4. G. Preparata
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Colangelo, P., Cosmai, L., Pellicoro, M. et al. Freedom and confinement in lattice Yang-Mills theories: a case for divorce. Nuov Cim A 92, 1–16 (1986). https://doi.org/10.1007/BF02730423

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  • DOI: https://doi.org/10.1007/BF02730423

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