THE SCHRODINGER FUNCTIONAL - A RENORMALIZABLE PROBE FOR NON-ABELIAN GAUGE-THEORIES

被引:376
|
作者
LUSCHER, M
NARAYANAN, R
WEISZ, P
WOLFF, U
机构
[1] MAX PLANCK INST PHYS & ASTROPHYS, W-8000 MUNICH 40, GERMANY
[2] CERN, DIV THEORY, CH-1211 GENEVA 23, SWITZERLAND
关键词
D O I
10.1016/0550-3213(92)90466-O
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
Following Symanzik we argue that the Schrodinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counterterms are required. The Schrodinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling from low to high energies. A concrete proposition along this line is made and the necessary perturbative analysis of the Schrodinger functional is carried through to one-loop order.
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页码:168 / 228
页数:61
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