Algebraic quantum gravity (AQG): II. Semiclassical analysis Export

@article{citeulike:1287182, abstract = {In the previous paper (Giesel and Thiemann 2006 Conceptual setup Preprint gr-qc/0607099) a new combinatorial and thus purely algebraical approach to quantum gravity, called algebraic quantum gravity (AQG), was introduced. In the framework of AQG, existing semiclassical tools can be applied to operators that encode the dynamics of AQG such as the master constraint operator. In this paper, we will analyse the semiclassical limit of the (extended) algebraic master constraint operator and show that it reproduces the correct infinitesimal generators of general relativity. Therefore, the question of whether general relativity is included in the semiclassical sector of the theory, which is still an open problem in LQG, can be significantly improved in the framework of AQG. For the calculations, we will substitute SU(2) with U(1)3. That this substitution is justified will be demonstrated in the third paper (Giesel and Thiemann 2006 Semiclassical perturbation theory Preprint gr-qc/0607101) of this series.}, author = {Giesel, K. and Thiemann, T.}, citeulike-article-id = {1287182}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/0264-9381/24/10/004}, citeulike-linkout-1 = {http://www.ingentaconnect.com/content/iop/cqg/2007/00000024/00000010/art00004}, day = {21}, doi = {10.1088/0264-9381/24/10/004}, issn = {0264-9381}, journal = {Classical and Quantum Gravity}, month = {May}, number = {10}, pages = {2499--2564}, posted-at = {2009-10-27 01:01:40}, priority = {2}, publisher = {Institute of Physics Publishing}, title = {Algebraic quantum gravity (AQG): II. Semiclassical analysis}, url = {http://dx.doi.org/10.1088/0264-9381/24/10/004}, volume = {24}, year = {2007} }

TY - JOUR ID - citeulike:1287182 L3 - citeulike-article-id:1287182 N2 - In the previous paper (Giesel and Thiemann 2006 Conceptual setup Preprint gr-qc/0607099) a new combinatorial and thus purely algebraical approach to quantum gravity, called algebraic quantum gravity (AQG), was introduced. In the framework of AQG, existing semiclassical tools can be applied to operators that encode the dynamics of AQG such as the master constraint operator. In this paper, we will analyse the semiclassical limit of the (extended) algebraic master constraint operator and show that it reproduces the correct infinitesimal generators of general relativity. Therefore, the question of whether general relativity is included in the semiclassical sector of the theory, which is still an open problem in LQG, can be significantly improved in the framework of AQG. For the calculations, we will substitute SU(2) with U(1)3. That this substitution is justified will be demonstrated in the third paper (Giesel and Thiemann 2006 Semiclassical perturbation theory Preprint gr-qc/0607101) of this series. IS - 10 JF - Classical and Quantum Gravity SN - 0264-9381 EP - 2564 TI - Algebraic quantum gravity (AQG): II. Semiclassical analysis PB - Institute of Physics Publishing VL - 24 SP - 2499 AU - Giesel, K AU - Thiemann, T PY - 2007/05/21/ UR - http://dx.doi.org/10.1088/0264-9381/24/10/004 ER -