Gravitational quantum states as finite representations of the Lorentz group
نویسندگان
چکیده
A manifestly Lorentz-covariant formulation of Loop Quantum Gravity (LQG) is given in terms finite-dimensional representations the Lorentz group. The accounts for discrete symmetries, such as parity and time-reversal, it establishes a link with Wigner classification particles. resulting quantum model can be seen LQG internal $SU(2)\otimes SU(2)$ group free Immirzi parameter, while scalar constraint just Euclidean part.
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2021
ISSN: ['1361-6382', '0264-9381']
DOI: https://doi.org/10.1088/1361-6382/ac33bd