RT Journal Article
T1 Consistent and non-consistent deformations of gravitational theories
A1 Barbero G., J. Fernando
A1 Basquens, Marc
A1 Díaz Jiménez, Bogar
A1 Sánchez Villaseñor, Eduardo Jesús
AB We study the internally abelianized version of a range of gravitational theories, written in connection tetrad form, and study the possible interaction terms that can be added to them in a consistent way. We do this for 2+1 and 3+1 dimensional models. In the latter case we show that the Cartan-Palatini and Holst actions are not consistent deformations of their abelianized versions. We also show that the Husain-Kuchař and Euclidean self-dual actions are consistent deformations of their abelianized counterparts. This suggests that if the latter can be quantized, it could be possible to devise a perturbative scheme leading to the quantization of Euclidean general relativity along the lines put forward by Smolin in the early nineties.
PB Springer
SN 1029-8479
YR 2022
FD 2022-05
LK https://hdl.handle.net/10016/36439
UL https://hdl.handle.net/10016/36439
LA eng
NO This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación PID2020-116567GB-C22 grants. E.J.S. Villaseñor is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation). Bogar Díaz acknowledges support from the CONEX-Plus programme funded by Universidad Carlos III de Madrid and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 801538.
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RD 3 jul. 2024