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.
Highlights
A consistent non-perturbative theory of the Yang-Mills (YM) vacuum responsible e.g. for spontaneous chiralHow to cite this paper: Pasechnik, R., Prokhorov, G. and Vereshkov, G. (2014) Conformal Evolution of Waves in the YangMills Condensate: The Quasi-Classical Approach
We studied the heterogenic system of two interacting YM condensate (YMC) in the SU (4) gauge theory and similar energy swap effect has been found
Starting from the basic idea about an important dynamical role of the YMC (8), we have constructed a consistent quasi-classical approach based on Hamilton formulation and canonical quantization of the wave modes in the classical YMC
Summary
A consistent non-perturbative theory of the Yang-Mills (YM) vacuum responsible e.g. for spontaneous chiral. Based on the canonical framework we present in this paper and play out in the simplest one-condensate model, one may further extend this study incorporating effects of mutual interactions between different wave modes The latter have to be taken into account in a complete theory of ultra-relativistic gluon plasma. The basic new result of our study is observation that the interactions between the YM waves and the condensate in a simple SU (2) YM theory trigger a significant energy transfer in one particular direction, namely, from the condensate to the wave modes2 Such a specific energy swap effect between the two vacuum subsystems may have serious consequences to the theory of non-perturbative YM vacuum and, in particular, may have important phenomenological implications e.g. in the theory of QCD phase transition in early Universe and in particle production mechanisms in the hot cosmological plasma. Canonical quantization of the YM wave modes in the classical YMC has been performed in Appendix B as a consistency check of our quasi-classical analysis
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
