Alexander Kurov
PhD
Research interests
My main research interests include the study of modified theories of gravity, in particular Lorentz-violating models, as well as the development of the heat kernel method for such theories. Together with my colleagues, we were the first to derive the beta functions for the projectable version of Hořava–Lifshitz gravity, identify all ultraviolet fixed points of the renormalization group flow, and establish the asymptotic freedom of the theory. This is the first example of an ultraviolet-complete, local, unitary, and renormalizable theory of gravity in four spacetime dimensions.
Selected publications:
1. Barvinsky A.O., Kurov A.V., Sibiryakov S.M., Renormalization group flow of projectable Hořava gravity in (3+1) dimensions, Phys.Rev.D 111 (2025) 2, 024030, arXiv: 2411.13574 [gr-qc]
2. Barvinsky A.O., Kurov A.V., Wachowski W., Commutator technique for the heat kernel of minimal higher derivative operators, Phys.Rev.D 110 (2024) 8, 085023, arXiv: 2408.10990 [hep-th]
3. Becker M., Kurov A., Saueressig F., Remarks on the origin of almost-Gaussian scaling in asymptotically safe quantum gravity, Phys.Rev.D 110 (2024) 12, 126003, arXiv: 2402.01075 [hep-th]
4. Barvinsky A.O., Kurov A.V., Sibiryakov S.M., Asymptotic freedom in (3+1)-dimensional projectable Hořava gravity: Connecting the ultraviolet and infrared domains, Phys.Rev.D 108 (2023) 12, L121503, arXiv: 2310.07841 [hep-th]
5. Barvinsky A.O., Kurov A.V., Sibiryakov S.M., Beta functions of (3+1)-dimensional projectable Hořava gravity, Phys.Rev.D 105 (2022) 4, 044009, arXiv: 2110.14688 [hep-th]
6. Kurov A., Saueressig F., On characterizing the quantum geometry underlying asymptotic safety, Front.in Phys. 8 (2020) 187, arXiv: 2003.07454 [hep-th]
7. Houthoff W., Kurov A., Saueressig F., On the scaling of composite operators in asymptotic safety, JHEP 04 (2020) 099, arXiv: 2002.00256 [hep-th]
8. Barvinsky A.O., Kolganov N., Kurov A., Nesterov D., Dynamics of the generalized unimodular gravity theory, Phys.Rev.D 100 (2019) 2, 023542, arXiv: 1903.09897 [hep-th]
9. Houthoff W.B., Kurov A., Saueressig F., Impact of topology in foliated Quantum Einstein
Publications affiliated with ITMP:
physics and mathematics
