Quantum gravity: a progress report

By Steven Carlip. 2001

411 citations recorded by the source corpus.

The problem of reconciling general relativity and quantum theory has fascinated and bedeviled physicists for more than 70 years. Despite recent progress in string theory and loop quantum gravity, a complete solution remains out of reach. I review the status of the continuing effort to quantize gravity, emphasizing the underlying conceptual issues and the various attempts to come to grips with them.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/442100b9770f3aa74f62b622122f7a0b1b0649f8

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Citations in the corpus

Dilaton gravity in two-dimensions (2002, background): “One can either treat this system directly in D = 4 and impose spherical symmetry in the equa- 4 A recent survey of the present situation is the one of Carlip [79].”
The Phoenix Project: master constraint programme for loop quantum gravity (2003, neutral): “…l ∈ Φ∗Kin is called a generalized eigenvector with eigenvalue λ with respect to a closable operator M̂ which together with its adjoint is densely defined on the (invariant) domain ΦKin provided that M̂ ′ l = λl ⇔ l(M̂† f) = λl(f) ∀f ∈ ΦKin (A.1) Here M̂ ′ is called the dual representation on Φ∗Kin.”
Analogue Gravity (2005, background): “The three main approaches to quantum gravity currently in vogue, “string models” (also known as “M-models”), “loop space” (and the related “spin foams”), and “lattice models” (Euclidean or Lorentzian) all share one feature: They attempt to develop a “pre-geometry” as a replacement for classical diff”
Loop quantum gravity: an outside view (2005, background): “At the same time, as we move along, we will try to make precise and clearly state the questions that are often raised about the LQG programme (for earlier reviews which mention some of these concerns, see [15, 16, 17]).”
Quantum-Spacetime Phenomenology (2008, background): “And it is not uncommon for recent quantum-gravity reviews [91, 475, 501, 151], even when the primary focus is on developments on the mathematics side, to discuss in some detail (and acknowledge the significance of) the work done in quantum-”