Related papers: Chaotic signatures in free field theory

Chaotic signatures in free field theory

URL: http://arxiv.org/abs/2507.18746v1
Date: Thu, 24 Jul 2025 18:51:59 GMT
Title: Chaotic signatures in free field theory
Authors: Dmitry S. Ageev, Vasilii V. Pushkarev,
Abstract summary: We consider free scalar relativistic field theory in finite volume taken out-of-equilibrium.<n>We show how the chaotic behavior emerges in such a quantum system for particular quench protocols.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We consider free scalar relativistic field theory in finite volume taken out-of-equilibrium and show how the chaotic behavior emerges in such a quantum system for particular quench protocols. Namely, we show that for the operator local quench, correlation functions exhibit statistical properties quite close to that of the Gaussian orthogonal ensemble of random matrices. Moreover, we show that the spectral form factor for the excited state after the local quench reveals a dip-ramp-plateau structure which also supports our conjecture. Finally, we show that the spectral form factor computed directly from the spectrum clearly demonstrates this structure as well.

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