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Title of Journal: Nuov Cim A

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Abbravation: Il Nuovo Cimento A (1965-1970)

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Società Italiana di Fisica

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1826-9869

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Vertex functions and form factors for conformal sp

Authors: P Menotti M C Prati
Publish Date: 2008/06/03
Volume: 37, Issue: 4, Pages: 330-342
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Abstract

Conformal onshell wave functions are derived for spin1/2 particle decaying virtually in spin 0 and spin 1/2 The relation to the offshell vertex function is worked out and it is shown that shadow singularities are shifted tod′=5/2d′ being the dimension of the particle field The obtained wave functions are used to compute the conformal contribution to the form factors Ford′5/2 the renormalization group result is reproduced Ford′5/2 the appearance of infrared divergences enhances this contribution above the dimensional bound and the enhancement is computed in terms of the dimensions of the various fieldsВыводятся конформные волновые функции на массовой поверхности для частиц со спином половина которые виртуально распадаются на спин нуль и спин половина Рассматривается связь с вершинными функциями вне массовой поверхности и показывается что теневые сингулярности сдвигаются кd′=5/2 гдеd′ есть размерность поля частицы Полученные волновые функции исполязуются для вычисления конформного вклада в формфакторы Воспроизводится результат группы перенормировки дляd′5/2 Дляd′5/2 появление инфракрасных расходимостей усиливает этот вклад выше границы размерности Указанное усиление вычисляется в терминах размерностей различных полейSi derivano funzioni donda sullo strato delle masse per particelle di spin 1/2 che decadono virtualmente in particelle di spin 0 e spin 1/2 Si ricava la relazione con la funzione vertice fuori stato e si dimostra che le singolarità ombra sono spostate ad′=5/2 essendod′ la dimensione del campo corrispondente alla particella Si usano le funzioni donda ottenute vengono usate per calcolare il contributo conforme ai fattori di forma Perd′5/2 si riproduce il risultato del gruppo di rinormalizzazione Perd′5/2 la comparsa di divergenze infrarosse innalza tale contributo al di sopra del limite dimensionale e tale innalzamento è calcolato in funzione delle dimensioni dei vari campi

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