Abstract:
We study the renormalization group flow in strongly interacting field theories in the fermion sector corresponding to the transition from theories without a Lorentz invariance at high energies to theories with an approximate Lorentz invariance in the infrared limit. We use the holographic description of the strong coupling. We give special attention to the emergence of chiral fermions in the low-energy limit.
The research of I. V. Kharuk is supported by the
Russian Foundation for Basic Research (Grant No. 14-02-31429). The research of S. M. Sibiryakov is supported by the Swiss National Science Foundation.
Citation:
I. V. Kharuk, S. M. Sibiryakov, “Emergent Lorentz invariance with chiral fermions”, TMF, 189:3 (2016), 405–428; Theoret. and Math. Phys., 189:3 (2016), 1755–1774
This publication is cited in the following 11 articles:
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Matteo Baggioli, Oriol Pujolàs, Xin-Meng Wu, “Holographic Lifshitz flows”, J. High Energ. Phys., 2024:9 (2024)
Andrei O. Barvinsky, Handbook of Quantum Gravity, 2024, 521
Andrei O. Barvinsky, Handbook of Quantum Gravity, 2023, 1
S. Vercellone, C. Bigongiari, A. Burtovoi, M. Cardillo, O. Catalano, A. Franceschini, S. Lombardi, L. Nava, F. Pintore, A. Stamerra, F. Tavecchio, L. Zampieri, R. Alves Batista, E. Amato, L.A. Antonelli, C. Arcaro, J. Becerra González, G. Bonnoli, M. Böttcher, G. Brunetti, A.A. Compagnino, S. Crestan, A. D'Aì, M. Fiori, G. Galanti, A. Giuliani, E.M. de Gouveia Dal Pino, J.G. Green, A. Lamastra, M. Landoni, F. Lucarelli, G. Morlino, B. Olmi, E. Peretti, G. Piano, G. Ponti, E. Poretti, P. Romano, F.G. Saturni, S. Scuderi, A. Tutone, G. Umana, J.A. Acosta-Pulido, P. Barai, A. Bonanno, G. Bonanno, P. Bruno, A. Bulgarelli, V. Conforti, A. Costa, G. Cusumano, M. Del Santo, M.V. del Valle, R. Della Ceca, D.A. Falceta-Gonçalves, V. Fioretti, S. Germani, R.J. García-López, A. Ghedina, F. Gianotti, V. Giordano, M. Kreter, F. Incardona, S. Iovenitti, A. La Barbera, N. La Palombara, V. La Parola, G. Leto, F. Longo, A. López-Oramas, M.C. Maccarone, S. , “ASTRI Mini-Array core science at the Observatorio del Teide”, Journal of High Energy Astrophysics, 35 (2022), 1
P.-L. Zhao, X.-B. Qiang, H.-Zh. Lu, X. C. Xie, “Coulomb instabilities of a three-dimensional higher-order topological insulator”, Phys. Rev. Lett., 127:16 (2021), 176601
Ch. F. Steinwachs, “Towards a unitary, renormalizable, and ultraviolet-complete quantum theory of gravity”, Front. Physics, 8 (2020), 185
A. Eichhorn, A. Platania, M. Schiffer, “Lorentz invariance violations in the interplay of quantum gravity with matter”, Phys. Rev. D, 102:2 (2020), 026007
A. O. Barvinsky, M. Herrero-Valea, S. M. Sibiryakov, “Towards the renormalization group flow of Horava gravity in 3+1 dimensions”, Phys. Rev. D, 100:2 (2019), 026012
A. Coates, C. Melby-Thompson, S. Mukohyama, “Revisiting Lorentz violation in Horava gravity”, Phys. Rev. D, 100:6 (2019), 064046
G. Rubtsov, P. Satunin, S. Sibiryakov, “Constraints on violation of Lorentz invariance from atmospheric showers initiated by multi-TeV photons”, J. Cosmol. Astropart. Phys., 2017, no. 5, 049