Conformal Evolution of Waves in the Yang-Mills Condensate: The Quasi-Classical Approach

Roman Pasechnik, George Prokhorov, Grigory Vereshkov

1Research Institute of Physics, Southern Federal University, Rostov-on-Don, Russia 2Institute for Nuclear Research of Russian Academy of Sciences, Moscow, Russia.
Research Institute of Physics, Southern Federal University, Rostov-on-Don, Russia.
Theoretical High Energy Physics, Department of Astronomy and Theoretical Physics, Lund University, Lund, Sweden.

DOI: 10.4236/jmp.2014.55032                

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.

Keywords

Gauge Theories; Canonical Quantization; Relativistic Yang-Mills Plasma; Quantum-Wave Fluctuations; Classical Yang-Mills Condensate

Conflicts of Interest

The authors declare no conflicts of interest.

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