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Three principles for canonical quantum gravity
Affiliation:1. Instituto de Física, Facultad de Ciencias, Iguá 4225, esq. Mataojo, 11400 Montevideo, Uruguay;2. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, United States;1. Physics Group, CGE, Chang Gung University, Taoyuan 33302, Taiwan;2. Department of Physics, Purdue University, West Lafayette, IN 47907, USA;1. Instituto de Física, Universidade Federal da Bahia Campus Ondina, 40210-340 Salvador-BA, Brazil;2. Instituto de Física, Universidade de Brasília, 70910-900, Brasília, DF, Brazil;1. Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, 91501-970, Porto Alegre, RS, Brazil;2. Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas – UNICAMP, 13083-859 Campinas, SP, Brazil;1. Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China;2. Physics Division, National Center for Theoretical Sciences, Hsinchu 300, Taiwan;3. Department of Physics, National Taiwan University, Taipei 107, Taiwan;4. School of Physics, Korea Institute for Advanced Study, Seoul 02455, Republic of Korea;1. Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Baja California, Ensenada, Baja California, Mexico;2. Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain;3. Departamento de Física de la Universidad de Guanajuato, A.P. E-143, C.P. 37150, León, Guanajuato, Mexico
Abstract:We outline three principles that should guide us in the construction of a theory of canonical quantum gravity: (1) diffeomorphism invariance, (2) implementing the proper dynamics and related constraint algebra, (3) local Lorentz invariance. We illustrate each of them with its role in model calculations in loop quantum gravity.
Keywords:Loop quantum gravity  Diffeomorphism invariance  Local Lorentz invariance
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