Chaotic thermalization in Yang-Mills-Higgs theory on a spacial lattice

Journal Article · Wed Jul 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.025021· OSTI ID:21316289

Fariello, Ricardo ^[1]; Forkel, Hilmar ^[2]

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1. Instituto de Fisica Teorica, Universidade Estadual Paulista, 01405-900 Sao Paulo, SP (Brazil)
2. Institut fuer Physik, Humboldt-Universitaet zu Berlin, D-12489 Berlin (Germany)

We analyze the Hamiltonian time evolution of classical SU(2) Yang-Mills-Higgs theory with a fundamental Higgs doublet on a spacial lattice. In particular, we study energy transfer and equilibration processes among the gauge and Higgs sectors, calculate the maximal Lyapunov exponents under randomized initial conditions in the weak-coupling regime, where one expects them to be related to the high-temperature plasmon damping rate, and investigate their energy and coupling dependence. We further examine finite-time and finite-size errors, study the impact of the Higgs fields on the instability of constant non-Abelian magnetic fields, and comment on the implications of our results for the thermalization properties of hot gauge fields in the presence of matter.

• OSTI ID: 21316289
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHAOS THEORY
COMPUTERIZED SIMULATION
COUPLING
DAMPING
ENERGY TRANSFER
HAMILTONIANS
HIGGS BOSONS
HIGGS MODEL
LATTICE FIELD THEORY
LYAPUNOV METHOD
MAGNETIC FIELDS
MATTER
SU-2 GROUPS
THERMALIZATION
YANG-MILLS THEORY