Summary
A theory of the intermediate vector boson is proposed, in which the boson field can be described by a renormalizable Lagrangian in an indefinite-metric space. The circumstances under which an indefinitemetric space can be consistently applied are discussed. It is shown that for very massive bosons (M∼2500 proton masses) the indefinite metric of the space does not conflict with requirements of probability conservation. The coupling constant for the lepton-intermediate boson interaction is approximately given byg 2∼10−1 in this theory.
Riassunto
Si propone una teoria del bosone vettoriale intermedio, in cui il campo bosonico può essere descritto da una lagrangiana rinormalizzabile in uno spazio di metrica indefinita. Si discutono le circostanze in cui si può applicare coerentemente uno spazio di metrica indefinita. Si mostra che per bosoni di grande massa (M∼2500 masse protoniche) la metrica indefinita dello spazio non contrasta con le condizioni di conservazione della probabilità. In questa teoria la costante d'accoppiamento per l'interazione leptonebosone intermedio è data approssimativamente dag 2∼10−1.
Резюме
Предлагается теория промежуточного векторного бозона, в которой бозонное поле может быть описано с помощью перенормируемого Лагранжиана в пространстве с неопределенной метрикой. Обсуждаются условия, при которых пространство с неопределенной метрикой может быть последовательно использовано. Показывается, что для очень массивных бозонов (M∼2500 масс протона) неопределенная метрика пространства не находится в противоречии с требованиями сохранения вероятности. В этой теории константа связи при взаимодействии лептона с промежуточным бозоном приблизительно равнаg 2∼10−1.
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Supported by the National Science Foundation and the University of Connecticut Research Foundation.
Supported by the National Science Foundation and the National Aeronautics and Space Administration.
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Haller, K., Landovitz, L.F. & Goldberg, I. Intermediate vector bosons as unobservable particles. Nuovo Cimento A (1965-1970) 48, 303–319 (1967). https://doi.org/10.1007/BF02818007
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DOI: https://doi.org/10.1007/BF02818007