Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 8 (2012), 010, 26 pages      arXiv:1110.3874      https://doi.org/10.3842/SIGMA.2012.010
Contribution to the Special Issue “Loop Quantum Gravity and Cosmology”

Matter in Loop Quantum Gravity

Ghanashyam Date a and Golam Mortuza Hossain b
a) The Institute of Mathematical Sciences, CIT Campus, Chennai, 600 113, India
b) Department of Physical Sciences, Indian Institute of Science Education and Research - Kolkata, Mohanpur Campus, Nadia - 741 252, WB, India

Received October 16, 2011, in final form February 27, 2012; Published online March 09, 2012

Abstract
Loop quantum gravity, a non-perturbative and manifestly background free, quantum theory of gravity implies that at the kinematical level the spatial geometry is discrete in a specific sense. The spirit of background independence also requires a non-standard quantum representation of matter. While loop quantization of standard model fields has been proposed, detail study of its implications is not yet available. This review aims to survey the various efforts and results.

Key words: loop quantization; loop quantum gravity; matter in loop quantum gravity.

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