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

• 作者: George Prokhorov Grigory Vereshkov Roman Pasechnik
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: Gauge Theories Canonical Quantization Relativistic YANG-MILLS Plasma Quantum-Wave Fluctuations CLASSICAL YANG-MILLS CONDENSATE
• 年，卷（期）: 2014,（5）
• 页码范围: 209-229
• 页数: 21页
• 分类号: O1

摘要

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.