Background independent quantum gravity: a status report
The goal of this review is to present an introduction to loop quantum gravity—a background-
independent, non-perturbative approach to the problem of unification of general relativity …
independent, non-perturbative approach to the problem of unification of general relativity …
Introduction to modern canonical quantum general relativity
T Thiemann - arxiv preprint gr-qc/0110034, 2001 - arxiv.org
This is an introduction to the by now fifteen years old research field of canonical quantum
general relativity, sometimes called" loop quantum gravity". The term" modern" in the title …
general relativity, sometimes called" loop quantum gravity". The term" modern" in the title …
Loop quantum gravity: an inside view
T Thiemann - Approaches to Fundamental Physics: An Assessment …, 2007 - Springer
Loop quantum gravity (LQG)[1–3] has become a serious competitor to string theory as a
candidate theory of quantum gravity. Its popularity is steadily growing because it has …
candidate theory of quantum gravity. Its popularity is steadily growing because it has …
Complexifier coherent states for quantum general relativity
T Thiemann - Classical and Quantum Gravity, 2006 - iopscience.iop.org
Recently, substantial amount of activity in quantum general relativity (QGR) has focused on
the semiclassical analysis of the theory. In this paper, we want to comment on two such …
the semiclassical analysis of the theory. In this paper, we want to comment on two such …
New variables for classical and quantum gravity in all dimensions: III. Quantum theory
N Bodendorfer, T Thiemann… - Classical and Quantum …, 2013 - iopscience.iop.org
We quantize the new connection formulation of (D+ 1)-dimensional general relativity
developed in our companion papers by loop quantum gravity (LQG) methods. It turns out …
developed in our companion papers by loop quantum gravity (LQG) methods. It turns out …
Quantum Gowdy T3 model: A uniqueness result
Modulo a homogeneous degree of freedom and a global constraint, the linearly polarized
Gowdy T 3 cosmologies are equivalent to a free scalar field propagating in a fixed …
Gowdy T 3 cosmologies are equivalent to a free scalar field propagating in a fixed …
Canonical quantization of 1+ 1-dimensional Yang-Mills theory: an operator-algebraic approach
We present a mathematically rigorous canonical quantization of Yang-Mills theory in 1+ 1
dimensions (YM $ _ {1+ 1} $) by operator-algebraic methods. The latter are based on …
dimensions (YM $ _ {1+ 1} $) by operator-algebraic methods. The latter are based on …
Quantum Gowdy model: Schrödinger representation with unitary dynamics
The linearly polarized Gowdy T 3 model is paradigmatic for studying technical and
conceptual issues in the quest for a quantum theory of gravity since, after a suitable and …
conceptual issues in the quest for a quantum theory of gravity since, after a suitable and …
Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism-invariant context
Osterwalder and Schrader introduced a procedure to obtain a (Lorentzian) Hamiltonian
quantum theory starting from a measure on the space of (Euclidean) histories of a scalar …
quantum theory starting from a measure on the space of (Euclidean) histories of a scalar …
Uniqueness of the Fock quantization of fields with unitary dynamics in nonstationary spacetimes
The Fock quantization of fields propagating in cosmological spacetimes is not uniquely
determined because of several reasons. Apart from the ambiguity in the choice of the …
determined because of several reasons. Apart from the ambiguity in the choice of the …