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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 Publication | PHYSICAL REVIEW D
 |
| Keyword | Yang-baxter Equation Polynomial Invariant Field Theory Phase Knots |
| Abstract | 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. |
| 1991 | |
| ISSN | 0556-2821 |
| Volume | 44Issue:4Pages:R942-R945 |
| Subject Area | Physics |
| Indexed By | SCI |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/11293 |
| Collection | SCI期刊论文 |
| Corresponding Author | LEE, 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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| Quantum holonomy and（181KB） | 开放获取 | License | Application Full Text | |||
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