منابع مشابه
On Loop States in Loop Quantum Gravity
We explicitly construct and characterize all possible independent loop states in 3+1 dimensional loop quantum gravity by regulating it on a 3-d regular lattice in the Hamiltonian formalism. These loop states, characterized by the (dual) angular momentum quantum numbers, describe SU(2) rigid rotators on the links of the lattice. The loop states are constructed using the Schwinger bosons which ar...
متن کاملLectures on Loop Quantum Gravity
Quantum General Relativity (QGR), sometimes called Loop Quantum Gravity, has matured over the past fifteen years to a mathematically rigorous candidate quantum field theory of the gravitational field. The features that distinguish it from other quantum gravity theories are 1) background independence and 2) minimality of structures. Background independence means that this is a non-perturbative a...
متن کاملSome Comments on the Representation Theory of the Algebra Underlying Loop Quantum Gravity
Important characteristics of the loop approach to quantum gravity are a specific choice of the algebra A of observables and of a representation of A on a measure space over the space of generalized connections. This representation is singled out by its elegance and diffeomorphism covariance. Recently, in the context of the quest for semiclassical states, states of the theory in which the quantu...
متن کاملOn the constraint algebra of quantum gravity in the loop representation
Although an important issue in canonical quantization, the problem of representing the constraint algebra in the loop representation of quantum gravity has received little attention. The only explicit computation was performed by Gambini, Garat and Pullin for a formal point-splitting regularization of the diffeomorphism and Hamiltonian constraints. It is shown that the calculation of the algebr...
متن کاملSeeking the Loop Quantum Gravity
We embed the Loop Quantum Gravity Barbero-Immirzi parameter and field within an action describing 4D, N = 1 supergravity and thus within a Low Energy Effective Action of Superstring/M-Theory. We use the fully gauge-covariant description of supergrav-ity in (curved) superspace. The gravitational constant is replaced with the vacuum expectation value of a scalar field, which in local supersymmetr...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2008
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/25/6/065003