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QUANTUM HOLONOMY AND LINK INVARIANTS
LEE, HC; ZHU, ZY; LEE, HC , ATOM ENERGY CANADA LTD RES,CHALK RIVER LABS,THEORET PHYS BRANCH,CHALK RIVER K0J 1J0,ONTARIO,CANADA.
1991
发表期刊PHYSICAL REVIEW D
ISSN0556-2821
卷号44期号:4页码:R942-R945
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.
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
关键词Yang-baxter Equation Polynomial Invariant Field Theory Phase Knots
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/11293
专题理论物理所SCI论文
通讯作者LEE, HC , ATOM ENERGY CANADA LTD RES,CHALK RIVER LABS,THEORET PHYS BRANCH,CHALK RIVER K0J 1J0,ONTARIO,CANADA.
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GB/T 7714
LEE, HC,ZHU, ZY,LEE, HC , ATOM ENERGY CANADA LTD RES,CHALK RIVER LABS,THEORET PHYS BRANCH,CHALK RIVER K0J 1J0,ONTARIO,CANADA.. QUANTUM HOLONOMY AND LINK INVARIANTS[J]. PHYSICAL REVIEW D,1991,44(4):R942-R945.
APA LEE, HC,ZHU, ZY,&LEE, HC , ATOM ENERGY CANADA LTD RES,CHALK RIVER LABS,THEORET PHYS BRANCH,CHALK RIVER K0J 1J0,ONTARIO,CANADA..(1991).QUANTUM HOLONOMY AND LINK INVARIANTS.PHYSICAL REVIEW D,44(4),R942-R945.
MLA LEE, HC,et al."QUANTUM HOLONOMY AND LINK INVARIANTS".PHYSICAL REVIEW D 44.4(1991):R942-R945.
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