YANG-MILLS FIELDS AND RIEMANNIAN GEOMETRY

被引:43
作者
HAAGENSEN, PE [1 ]
JOHNSON, K [1 ]
机构
[1] MIT, CTR THEORET PHYS, NUCL SCI LAB, CAMBRIDGE, MA 02139 USA
关键词
D O I
10.1016/0550-3213(94)00464-P
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
It is possible to define new, gauge invariant variables in the Hilbert space of Yang-Mills theories which manifestly implement Gauss' law on physical states. These variables have furthermore a geometrical meaning, and allow one to uncover further constraints physical states must satisfy. For gauge group SU(2), the underlying geometry is Riemannian and based on the group GL(3). The formalism allows also for the inclusion of static color sources and the extension to gauge groups SU(N > 2), both of which are discussed here.
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页码:597 / 616
页数:20
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