The observation of the scaling properties of the structure functions w and vw of deep inelastic electron 1 2 nucleon scattering [1]+ has been taken by many people as an indication for an approximate scale invariance of the world. It was pointed out by Wilson [2], that in many field theories it is possible to assign a dimension d to every fundamental field, which proves to be a conserved quantum number as far as the most singular term of an operator product expansion at small distances ((x-y) +a) is con- JJ cerned++. Later it was shown, at the canonical level, that in many field theories the dimension of a field seems to be a c:pod quantum number even in the terms less singular at small (x-y) , as long as they all belong to the strongest /l light cone singularity (i. e. (x-y)2+a) [3]. The assumption that this type of scale invariance on the light cone be present in the operator product ex- pansion of two electromagnetic currents has provided us with a rather natural explanation of the observed scaling phenomena. We should like to mention, however, that this ex- planation cannot account for the precocity with which scaling is being observed experimentally in energy regions, in which resonances still provide prominent contributions to the final states [4].
Paul Urban
Elementary Particle Physics [PDF ebook]
Multiparticle Aspects
Elementary Particle Physics [PDF ebook]
Multiparticle Aspects
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语言 英语 ● 格式 PDF ● ISBN 9783709140345 ● 编辑 Paul Urban ● 出版者 Springer Vienna ● 发布时间 2013 ● 下载 3 时 ● 货币 EUR ● ID 6355572 ● 复制保护 Adobe DRM
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