A DETAILED ACCOUNT OF ALAIN CONNES VERSION OF THE STANDARD MODEL IN NONCOMMUTATIVE GEOMETRY .1. AND .2.

被引:77
|
作者
KASTLER, D [1 ]
机构
[1] UNIV AIX MARSEILLE 2,F-13007 MARSEILLE,FRANCE
关键词
D O I
10.1142/S0129055X93000140
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a detailed calculation of the Lagrangian of the standard model prescribed in the paper [4] of Connes and Lott, first for the electroweak interaction, alone, and then (as is necessary to achieve the correct weak hypercharge assignments) for the coupling of electroweak interactions with chromodynamics. In its most symmetrical form (with free parameters the fermion mass-matrices plus one universal coupling constant), the Connes theory in tree-approximation yields equality of the strong and electroweak coupling constants, and fixes the value sin2 theta(w) = 3/8, and the ratios m(t)/m(w) and m(H)/m(t).
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页码:477 / 532
页数:56
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