| __Loop quantum gravity Article, Loopquantumgravity Information__ *(Site not responding. Last check: 2007-10-06)* |

| | Being closely related to topological quantum field theory and **group** representationtheory, LQG is mostly established at the level of rigour of mathematical physics, as opposed to string theory, which isestablished at the level of rigour of physics. |

| | Mathematically LQG is local **gauge** theory of the self-dual subgroup of the complexified Lorentz **group**, which is related to the action of the Lorentz **group** on Weyl spinors commonly used in elementary particle physics. |

| | Thecompactness of the Lie **group** avoids some thus-far unsolved difficulties in thequantization of **gauge** theories of noncompact lie **groups**, and is responsible for the discreteness of the area and volume spectra.The infamous Immirzi parameter is necessary to resolve anambiguity in the process of complexification. |

| www.anoca.org /theory/lqg/loop_quantum_gravity.html (5292 words) |