Related papers: Quantum chaos in a weakly-coupled field theory with nonlocality

Quantum chaos in a weakly-coupled field theory with nonlocality

URL: http://arxiv.org/abs/2111.10895v1
Date: Sun, 21 Nov 2021 20:32:57 GMT
Title: Quantum chaos in a weakly-coupled field theory with nonlocality
Authors: Willy Fischler, Tyler Guglielmo, and Phuc Nguyen
Abstract summary: We compute the Lyapunov exponent of exponential growth in the large Moyal-scale limit to leading order in the t'Hooft coupling and $1/N$. In this limit, the Lyapunov exponent remains comparable in magnitude to (and somewhat smaller than) the exponent in the commutative case.
Score: 0.7993126899701837
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In order to study the chaotic behavior of a system with non-local interactions, we will consider weakly coupled non-commutative field theories. We compute the Lyapunov exponent of this exponential growth in the large Moyal-scale limit to leading order in the t'Hooft coupling and $1/N$. We found that in this limit, the Lyapunov exponent remains comparable in magnitude to (and somewhat smaller than) the exponent in the commutative case. This can possibly be explained by the infrared sensitivity of the Lyapunov exponent. Another possible explanation is that in examples of weakly coupled non-commutative field theories, non-local contributions to various thermodynamic quantities are sub-dominant.

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