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Classical solutions for fermionic models

Классические решения для фермнонных моделей

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

Classical solutions for conformal invariant fermion-fermion interaction in two dimensions are given and their invariance properties are discussed. A possible generalization to four dimensions is given and corresponding instanton- and meron-like solutions are found. It turns out that these are a natural generalization of two-dimensional ones.

Riassunto

Si danno soluzioni classiche per l’interazione fermione-fermione conforme invariante in due dimensioni e si discutono le loro proprietà d’invarianza. Si dà una possibile gene-ralizzazione a quattro dimensioni e si trovano corrispondenti soluzioni del tipo istantone e del tipo merone. Ne risulta che queste sono una generalizzazione naturale di quelle a due dimensioni.

Резюме

Приводятся классические решения для конформного инвариантного фермион-фермионного взаимодействия в двух измерениях. Обсуждаются свойства инвариантности этих решений. Обсуждается возможное обобщение на случай четырех измерений. Получены соответствующие решения инстантонного и меронного типов. Оказывается, что полученные решения представляют естественное обобщение двумерных решений.

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Author information

Authors and Affiliations

  1. Istituto di Fisica Teorica dell’Università, Trieste, Italia

    K. G. Akdeniz

  2. International Centre for Theoretical Physics, Trieste, Italy

    K. G. Akdeniz

  3. Advanced School of Physics, University of Trieste, Trieste, Italy

    A. Smailagić

Authors
  1. K. G. Akdeniz
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  2. A. Smailagić
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Additional information

Supported in part by Faculty of Science, Istanbul University, Turkey. On leave of absence from Theoretical Physics Institute, Istanbul University, Turkey.

Supported by an Italian Government Fellowship.

Traduzione a cura della Redazione.

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Akdeniz, K.G., Smailagić, A. Classical solutions for fermionic models. Nuov Cim A 51, 345–357 (1979). https://doi.org/10.1007/BF02776595

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  • DOI: https://doi.org/10.1007/BF02776595

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