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2022

Operator growth in SU(2) Yang-Mills theory

Guo, Shiyong

Understand

Krylov complexity is a novel observable for detecting quantum chaos, and an indicator of a possible gravity dual.

In this paper, we compute the Krylov complexity and the associated Lanczos coefficients in the SU(2) Yang-Mills theory, which can be reduced to a nonlinearly coupled harmonic oscillators (CHO) model.
We show that there exists a chaotic transition in the growth of Krylov complexity.
The Krylov complexity shows a quadratic growth in the early time stage and then grows linearly.