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题名: QUANTUM HOLONOMY AND LINK INVARIANTS
作者: LEE, HC ;  ZHU, ZY
刊名: PHYSICAL REVIEW D
出版日期: 1991
卷号: 44, 期号:4, 页码:R942-R945
关键词: YANG-BAXTER EQUATION ;  POLYNOMIAL INVARIANT ;  FIELD THEORY ;  PHASE ;  KNOTS
学科分类: Physics
通讯作者: LEE, HC , ATOM ENERGY CANADA LTD RES,CHALK RIVER LABS,THEORET PHYS BRANCH,CHALK RIVER K0J 1J0,ONTARIO,CANADA.
部门归属: UNIV WESTERN ONTARIO,DEPT APPL MATH,LONDON N6A 5B9,ONTARIO,CANADA; CHINESE CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING 100080,PEOPLES R CHINA; ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
英文摘要: It is shown that, in a non-Abelian quantum field theory without an anomaly and broken symmetry, the set of all matrix-valued quantum holonomies PSI-[gamma] = [P exp(i-closed-integral-gamma-A dx)] for closed contours gamma form a commutative semigroup, whereas [P exp(i integral-alpha-A dx)] = 0 for every open path alpha. The eigenvalues PHI-[gamma] of PSI-[gamma] are classified according to the irreducible representations of the gauge group. In an irreducible representation rho, Tr(PSI-[gamma]) = PHI-[gamma]Tr(1-rho) is a Wilson loop. The equation solves a puzzle in the relation between link invariants and Wilson loops in the Chern-Simons theory in three dimensions when the gauge group is SU(N/N), and provides useful insight in understanding nonperturbative quantum chromodynamics as a string theory.
收录类别: SCI
原文出处: 查看原文
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/11293
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
LEE, HC,ZHU, ZY. QUANTUM HOLONOMY AND LINK INVARIANTS[J]. PHYSICAL REVIEW D,1991,44(4):R942-R945.
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