Towards chaos criterion in quantum field theory
V.I. Kuvshinov, A.V. Kuzmin
TL;DR
This paper proposes a chaos criterion for quantum field theory, demonstrating its relation to classical chaos and its application in analyzing the stability of classical solutions in scalar fields.
Contribution
Introduces a novel chaos criterion for quantum field theory and establishes its connection with classical chaos in the semi-classical regime.
Findings
Chaos criterion aligns with classical chaos in semi-classical limit
Can be used to assess stability of classical solutions in scalar fields
Provides a new tool for studying quantum field dynamics
Abstract
Chaos criterion for quantum field theory is proposed. Its correspondence with classical chaos criterion in semi-classical regime is shown. It is demonstrated for real scalar field that proposed chaos criterion can be used to investigate stability of classical solutions of field equations.
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