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Current commutators at small time differences

Коммутаторы тока при малых интервалах времени

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Acta Physica Academiae Scientiarum Hungaricae

Abstract

Using the equal-time current algebra and the divergence conditions, we calculate the current commutators for small time differences. It is shown that the commutators are explicitly model-dependent and the contributions of the symmetry-breaking terms do not drop out. The physical content of the current commutators of non-equal time is discussed in terms of new sum rules. We point out that the disconnected contributions are necessary for the consistency of the sum rules. The sum rules favour the field algebra.

Резюме

Используя алгебру токов при равенстве времен, и условия расходимости, рассчитаны коммутаторы тока для малых интервалов времени. Показано, что коммутаторы явно зависят от модели, и вклады от членов, нарушающих симметрию не отнадают. Рассмотрено физическое содержание коммутаторов тока в терминах новых правил сумм. Показано, что для последовательности правил сумм необходимо наличие вкладов несвязанных диаграмм. Правила сумм дают предпочтение алгебре поля.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Roland Eötvös University, Budapest

    I. Farkas & G. Pócsik

Authors
  1. I. Farkas
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  2. G. Pócsik
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Farkas, I., Pócsik, G. Current commutators at small time differences. Acta Physica 31, 251–258 (1972). https://doi.org/10.1007/BF03156844

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  • DOI: https://doi.org/10.1007/BF03156844

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