量子引力扩展圈表象中微分同胚约束的作用

Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity

以不同方法将微分同胚约束 (D约束 )对扩展圈表象抽象波函数的作用特殊化到圈表象上 .以Chern -Simons两点传播子乘积项为量子引力态基本片段 ,构造出了满足齐次D约束作用的扩展knot不变量引力态 ( φG) n.对其中n =1 ,2之引力态分别进行了满足齐次D约束的具体证明 ;对n >

By a different way, we particularized the action of the diffeomorphism constraint (D constraint) on the abstract wave function in the extended loop representation to the action in the loop representation. Using the two point propagator of Chern Simons theory as the basic blocks of quantum gravity states, we constructed the extended knot invariant gravity states (* φ G) n that which satisfied with the homogeneous D constraint. For the states of n =1,2, we demonstrated a detailed proof, To the states of n >2, we gave a general identification.