2-LOOP COMPUTATION OF A RUNNING COUPLING IN LATTICE YANG-MILLS THEORY

被引:22
作者
NARAYANAN, R [1 ]
WOLFF, U [1 ]
机构
[1] HUMBOLDT UNIV BERLIN,INST PHYS,D-10099 BERLIN,GERMANY
关键词
D O I
10.1016/0550-3213(95)00170-W
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
We compute the two-loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schrodinger functional for the case of pure SU(2) gauge theory. This result is needed as one computational component to relate the latter to the ($$$) over bar MS coupling, and it allows us to implement O(a) improvement of the Schrodinger functional to two-loop order. In addition, the two-loop beta-function is verified in a perturbative computation on the lattice, and the behavior of an improved bare coupling is investigated beyond one loop.
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页码:425 / 446
页数:22
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