Covariant particle statistics and intertwiners of the κ-deformed Poincaré algebra

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• 作者：C.A.S. Young ; R. Zegers
• 关键词：Deformed Poincar&#xe9 ; algebra ; <i>κ ; i>-deformation ; Particle statistics
• 刊名：Nuclear Physics B
• 出版年：2008
• 期刊代码：45_05503213
• 类别：ph
• 出版时间：11 July 2008
• 卷：797
• 期：3
• 页码：537-549
• 文件大小：175 K

摘要

To speak about identical particles—bosons or fermions—in quantum field theories with <i>κi>-deformed Poincar&#xe9; symmetry, one must have a <i>κi>-covariant notion of particle exchange. This means constructing intertwiners of the relevant representations of <i>κi>-Poincar&#xe9;. We show, in the simple case of spinless particles, that intertwiners exist, and, supported by a perturbative calculation to third order in inlMMLBox">ience?_ob=MathURL&_method=retrieve&_udi=B6TVC-4RKMB4V-2&_mathId=mml1&_user=1067359&_cdi=5531&_rdoc=9&_acct=C000050221&_version=1&_userid=10&md5=0cb2670b8e47f97b288042fcce75a4be"><img src="http://www.sciencedirect.com/cache/MiamiImageURL/B6TVC-4RKMB4V-2-4/0?wchp=dGLbVtz-zSkWz" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=21 width="10"/>, make a conjecture about the existence and uniqueness of a certain preferred intertwiner defining particle exchange in <i>κi>-deformed theories.