Deterministic chaos in non-Abelian lattice gauge theory

Journal Article · Mon Jun 08 00:00:00 EDT 1992 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.68.3387· OSTI ID:7106900

Mueller, B; Trayanov, A ^[1]

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1. Department of Physics, Duke University, Durham, North Carolina 27706 (United States) North Carolina Supercomputing Center, Research Triangle Park, North Carolina 27709 (United States)

We present numerical evidence that the real-time Hamiltonian dynamics of SU(2) gauge theory on a spatial lattice exhibits deterministic chaos in the semiclassical limit. We determine the largest Lyapunov exponent of the gauge field as a function of energy density, and derive a nonperturbative expression for the thermalization time.

• DOE Contract Number: FG05-90ER40592
• OSTI ID: 7106900
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 68:23; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ENTROPY
ERRORS
FIELD THEORIES
LATTICE FIELD THEORY
LIE GROUPS
LYAPUNOV METHOD
MATHEMATICS
NUMERICAL ANALYSIS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES