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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
Source PublicationPHYSICAL REVIEW D
KeywordYang-baxter Equation Polynomial Invariant Field Theory Phase Knots
AbstractIt 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.
1991
ISSN0556-2821
Volume44Issue:4Pages:R942-R945
Subject AreaPhysics
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/11293
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLEE, HC , ATOM ENERGY CANADA LTD RES,CHALK RIVER LABS,THEORET PHYS BRANCH,CHALK RIVER K0J 1J0,ONTARIO,CANADA.
Recommended Citation
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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