Nonperturbative evolution equation for quantum gravity
نویسندگان
چکیده
منابع مشابه
Nonperturbative Evolution Equation for Quantum Gravity
A scale–dependent effective action for gravity is introduced and an exact nonperturbative evolution equation is derived which governs its renormalization group flow. It is invariant under general coordinate transformations and satisfies modified BRS Ward–Identities. The evolution equation is solved for a simple truncation of the space of actions. In 2+ε dimensions, nonperturbative corrections t...
متن کاملThe physical Hamiltonian in nonperturbative quantum gravity.
A quantum Hamiltonian which evolves the gravitational field according to time as measured by constant surfaces of a scalar field is defined through a regularization procedure based on the loop representation, and is shown to be finite and diffeomorphism invariant. The problem of constructing this Hamiltonian is reduced to a combinatorial and algebraic problem which involves the rearrangements o...
متن کاملSpin Networks in Nonperturbative Quantum Gravity
A spin network is a generalization of a knot or link: a graph embedded in space, with edges labelled by representations of a Lie group, and vertices labelled by intertwining operators. Such objects play an important role in 3-dimensional topological quantum field theory, functional integration on the space A/G of connections modulo gauge transformations, and the loop representation of quantum g...
متن کاملRECENT DEVELOPMENTS in NONPERTURBATIVE QUANTUM GRAVITY
New results from the new variables/loop representation program of nonperturbative quantum gravity are presented, with a focus on results of Ashtekar, Rovelli and the author which greatly clarify the physical interpretation of the quantum states in the loop representation. These include: 1) The construction of a class of states which approximate smooth metrics for length measurements on scales, ...
متن کاملLinking topological quantum field theory and nonperturbative quantum gravity
Quantum gravity is studied nonperturbatively in the case in which space has a boundary with finite area. A natural set of boundary conditions is studied in the Euclidean signature theory, in which the pullback of the curvature to the boundary is self-dual (with a cosmological constant). A Hilbert space which describes all the information accessible by measuring the metric and connection induced...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 1998
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.57.971