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A local approach to nonlocalizable fields

Локальный подход к нелокалиэуемым полям

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

Summary

The J. G. Taylor approach to nonlocalizable massless relativistic fields as weak limits of localizable (and local) ones is analysed. As a consequence of a break-down of the sharp local commutativity, acausal effects for nonlocalizable fields appear. Nevertheless, the commutator for the nonlocalizable fields has a strong exponential decrease for spacelike separations. This decrease is determined by the order of growth of the field in momentum space. The nonlocalizable fields, as they are constructed in this paper, satisfy many of the important properties of localizable (and local) fields.

Riassunto

Si esamina l’approccio di J. G. Taylor ai campi relativistici non localizzabili come limiti deboli di quelli localizzabili (e locali). In conseguenza della rottura della netta commutatività locale appaiono effetti acasuali per campi non localizzabili. Ciò nonostante il commutatore per i campi non localizzabili ha una forte decrescita esponenziale per separazioni di tipo spaziale. Questa decrescita è determinata dall’ordine di crescita del campo nello spazio degli impulsi. I campi non localizzabili, quali sono costruiti in questo articolo, soddisfano molte delle importanti proprietà dei campi localizzabili (e locali).

Реэюме

Предлагается подход к нелокалиэуемым релятивистским полям, которые рассматриваются, как слабые пределы локалиэуемых (и локальных) полей. В реэультате нарущения четкой локальной коммутативности для нелокалиэуемых полей появляются причинные зффекты. Тем не менее, коммутатор для нелокалиэуемых полей имеет сильное зкспоненциальное эатухание для пространственно-по добных интервалов. Это эатухание определяется порядком роста поля в импульсном пространстве. Нелокалиэуемые поля, в том виде, как они конструируются в зтой статье, удовлетворяют множеству важных свойств локалиэуемых (и локальных) полей.

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Author notes

  1. R. J. Blomer

    Present address: Institut für Med. Datenverarbeitung, Arabellastr. 4, München

  2. F. Constantinescu

    Present address: Institut für Angewandte Mathematik der Universität Mainz, Mainz

Authors and Affiliations

  1. Institute for Theoretical Physics, University of Munich, Munich

    R. J. Blomer & F. Constantinescu

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  1. R. J. Blomer
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  2. F. Constantinescu
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Blomer, R.J., Constantinescu, F. A local approach to nonlocalizable fields. Nuov Cim A 6, 62–78 (1971). https://doi.org/10.1007/BF02723434

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  • DOI: https://doi.org/10.1007/BF02723434

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