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Title of Journal: Nuovo Cimento A 19651970

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Abbravation: Il Nuovo Cimento A (1965-1970)

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Springer Berlin Heidelberg

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DOI

10.1002/app.1971.070150708

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1826-9869

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Feynman diagrams for unitary representations ofEm

Authors: K Koller
Publish Date: 2016/01/13
Volume: 54, Issue: 1, Pages: 79-95
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Abstract

Weinberg’s derivation of Feynman rules for finitedimensional representation of the Lorentz group is generalized for massive particles to infinitedimensional irreducible representations of the Lorentz group Following Feldman and Matthews local and causal infinitedimensional fields quantized by a commutator are written down for irreducible unitary representations of the principal series ofSL2C Feynman rules for those infinitedimensional fields are stated and threepoint functions and pole diagrams are given explicitly for arbitrary unitary irreducible representations of the principal series ofSL2CВейнберговский вывод правил Фейнмана для конечномерного пердставления группы Лорентца обобщается для массивных частиц в бесконечномерных неприводимых представлениях группы Лорентца Следуя Фельдману и Метьюзу для неприводимых унитарных представлений главной серииSL2C выписываются локальные и причинные бесконечномерные поля квантованные с помощью коммутатора Формулируются правила Фейнмана для этих бесконечномерных полей и точно приводятся трехточечные функции и полюсные диаграммы для произвольных унитарных неприводимых представлений главной серииSL2CSi generalizza per particelle dotate di massa la derivazione di Weinberg delle regole di Feynman per la rappresentazione ad un numero finito di dimensioni del gruppo di Lorentz a rappresentazioni irriducibili del gruppo di Lorentz ad un numero infinito di dimensioni Si ricavano secondo Feldman e Matthews campi locali e causali a infinite dimensioni quantizzati da un commutatore per rappresentazioni unitarie irriducibili della serie principale del gruppoSL2C Si definiscono le regole di Feynman per questi campi a infinite dimensioni e si danno esplicitamente funzioni a tre punti e diagrammi polari per rappresentazioni arbitrarie unitarie ed irriducibili della serie principale del gruppoSL2C

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