TITLE:
Conformal Evolution of Waves in the Yang-Mills Condensate: The Quasi-Classical Approach
AUTHORS:
Roman Pasechnik, George Prokhorov, Grigory Vereshkov
KEYWORDS:
Gauge Theories; Canonical Quantization; Relativistic Yang-Mills Plasma; Quantum-Wave Fluctuations; Classical Yang-Mills Condensate
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.5,
March
28,
2014
ABSTRACT: We have
constructed a consistent system of equations for the Yang-Mills quantum-wave
fluctuations in the classical Yang-Mills condensate based on canonical
quantization in the Heisenberg representation. Such a quasi-classical system
has been thoroughly analyzed in the conformal limit in the linear and
quasi-linear approximations, both analytically and numerically. We have found
that interaction between waves and condensate triggers a significant transfer
or swap of energy from the condensate to the wave modes in the SU(2) gauge theory. Remarkably, a
similar energy swap effect has been found in the maximally-supersymmetric N=4
Yang-Mills theory, as well as in the two-condensate SU(4) gauge theory. Such a generic feature of Yang-Mills dynamics
opens up vast phenomenological implications in ultra-relativistic Yang-Mills
plasma physics.