Critical and multicritical Kasner scaling in holographic phase transitions
Year: 2026
Type: article
Abstract: A bstract We study how holographic phase transitions imprint their scaling laws on the local Kasner geometry inside Einstein-scalar black holes. At fixed double-trace coupling, we derive the near-critical scaling of the deviation of the first-epoch Kasner exponent from the Schwarzschild value: $$ {p}_t^{(1)}+\frac{1}{3}\propto {O}^2\propto {\left({T}_c-T\right)}^{1/r} $$ p t 1 + 1 3 ∝ O 2 ∝ T c − T 1 / r , where O denotes the boundary condensate and r labels ordinary criticality ( r = 1), tricriticality ( r = 2), and higher multicriticality ( r ≥ 3). A super-exponential scalar potential generates a sequence of Kasner epochs separated by scalar-field bounces. We further find that any later epoch that can be tracked continuously across the transition inherits the same temperature exponent, while its coefficient depends on the epoch. Numerical solutions confirm these predictions for the ordinary and tricritical cases. Finally, we show analytically that the leading irrelevant exponent of the infrared fixed point governs the low-temperature Kasner scaling, and verify the resulting scaling numerically for the first Kasner exponent.
Source: Journal of High Energy Physics
Authors: Ling-Long Gao, Yan Liu, Hong-Da Lyu
Institutions: Beihang University, Shandong University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7196957182