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Field-theoretic formulation of the bootstrap theory

Теоретикополевая формулировка теории бутстрэпа

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Il Nuovo Cimento A (1965-1970)

Summary

It is shown that it is possible to find a completely consistent bootstrap (all hadrons are bound states of all hadrons) using conventional field theoretic techniques in an unconventional limit. This latter is the limit wherein all interactions are set to zero, as well as all elementary single-particle propagators. The hadrons are then described by poles in infinitely composite propagators.

Riassunto

Si dimostra che è possibile trovare un «bootstrap» completamente coerente (tutti gli adroni sono stati legati di tutti gli adroni) usando convenzionali tecniche di teoria di campo in un limite non convenzionale. Quest’ultimo è il limite in cui tanto tutte le interazioni quanto tutti i propagatori di singole particelle sono supposti nulli. Si descrivono cosi gli adroni con poli in un propagatore infinitamente composto.

Резюме

Показывается, что возможно найти полностью последовательный бутстрэп (все адроны являются связанными состояниями всех адронов), используя общепринятую технику теории поля в нестандартном пределе. Этот последний представляет предел, в котором все взаимодействия считаются нулем, так же как все элементарные одно-частичные пропагаторы. Тогда адроны описываются посредством полюсов в бесконечно составных пропагаторах.

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References

  1. R. Brout andF. Englert:Bull. Am. Phys. Soc., (1966). For more details on this work, the reader is refered toCargèse Lectures 1966, or to ref. (2)F. Englert andC. de Dominicis:Nuovo Cimento,53 A, 1021 (1968) (hereafter referred to as I) below, discussion in Sect.6.1.

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Englert, F., Brout, R. & Stern, H. Field-theoretic formulation of the bootstrap theory. Nuovo Cimento A (1965-1970) 58, 601–618 (1968). https://doi.org/10.1007/BF02837659

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