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.
