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Dynamics of wave fluctuations in the homogeneous Yang-Mills condensate

Pasechnik, Roman LU ; Prokhorov, George and Vereshkov, Grigory (2014) In Journal of High Energy Physics
Abstract
In the present work, the Yang-Mills (YM) quantum-wave excitations of the classical homogeneous YM condensate have been studied in quasi-classical approximation. The formalism is initially formulated in the Hamilton gauge and is based upon canonical quantisation in the Heisenberg representation. This canonical framework is then extended and related to YM dynamics in arbitrary gauge and symmetry group containing at least one SU(2) subgroup. Such generic properties of the interacting YM system as excitation of longitudinal wave modes and energy balance between the evolving YM condensate and waves have been established. In order to prove these findings, the canonical quasi-classical YM system "waves + condensate" in the pure simplest SU(2)... (More)
In the present work, the Yang-Mills (YM) quantum-wave excitations of the classical homogeneous YM condensate have been studied in quasi-classical approximation. The formalism is initially formulated in the Hamilton gauge and is based upon canonical quantisation in the Heisenberg representation. This canonical framework is then extended and related to YM dynamics in arbitrary gauge and symmetry group containing at least one SU(2) subgroup. Such generic properties of the interacting YM system as excitation of longitudinal wave modes and energy balance between the evolving YM condensate and waves have been established. In order to prove these findings, the canonical quasi-classical YM system "waves + condensate" in the pure simplest SU(2) gauge theory has been thoroughly analysed numerically in the linear and next-to-linear approximations in the limit of small wave amplitudes. The effective gluon mass dynamically generated by wave self-interactions in the gluon plasma has been derived. A complete set of equations of motion for the YM "condensate + waves" system accounting for second- and third-order interactions between the waves has been obtained. In the next-to-linear approximation in waves we have found that due to interactions between the YM waves and the YM condensate, the latter looses its energy leading to the growth of amplitudes of the YM wave modes. A similar effect has been found in the maximally-supersymmetric N = 4 Yang-Mills theory as well as in two-condensate SU(4) model. Possible implications of these findings to Cosmology and gluon plasma physics have been discussed. (Less)
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organization
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type
Contribution to journal
publication status
published
subject
keywords
Nonperturbative Effects, Gauge Symmetry, Solitons Monopoles and, Instantons, Integrable Field Theories
in
Journal of High Energy Physics
issue
7
publisher
Springer
external identifiers
  • wos:000338999400001
  • scopus:84904319019
ISSN
1126-6708
DOI
10.1007/JHEP07(2014)003
language
English
LU publication?
yes
id
c0ad202e-c4eb-467f-be44-a27db926b9ce (old id 4601916)
date added to LUP
2014-09-05 08:57:22
date last changed
2017-01-01 03:51:38
@article{c0ad202e-c4eb-467f-be44-a27db926b9ce,
  abstract     = {In the present work, the Yang-Mills (YM) quantum-wave excitations of the classical homogeneous YM condensate have been studied in quasi-classical approximation. The formalism is initially formulated in the Hamilton gauge and is based upon canonical quantisation in the Heisenberg representation. This canonical framework is then extended and related to YM dynamics in arbitrary gauge and symmetry group containing at least one SU(2) subgroup. Such generic properties of the interacting YM system as excitation of longitudinal wave modes and energy balance between the evolving YM condensate and waves have been established. In order to prove these findings, the canonical quasi-classical YM system "waves + condensate" in the pure simplest SU(2) gauge theory has been thoroughly analysed numerically in the linear and next-to-linear approximations in the limit of small wave amplitudes. The effective gluon mass dynamically generated by wave self-interactions in the gluon plasma has been derived. A complete set of equations of motion for the YM "condensate + waves" system accounting for second- and third-order interactions between the waves has been obtained. In the next-to-linear approximation in waves we have found that due to interactions between the YM waves and the YM condensate, the latter looses its energy leading to the growth of amplitudes of the YM wave modes. A similar effect has been found in the maximally-supersymmetric N = 4 Yang-Mills theory as well as in two-condensate SU(4) model. Possible implications of these findings to Cosmology and gluon plasma physics have been discussed.},
  articleno    = {003},
  author       = {Pasechnik, Roman and Prokhorov, George and Vereshkov, Grigory},
  issn         = {1126-6708},
  keyword      = {Nonperturbative Effects,Gauge Symmetry,Solitons Monopoles and,Instantons,Integrable Field Theories},
  language     = {eng},
  number       = {7},
  publisher    = {Springer},
  series       = {Journal of High Energy Physics},
  title        = {Dynamics of wave fluctuations in the homogeneous Yang-Mills condensate},
  url          = {http://dx.doi.org/10.1007/JHEP07(2014)003},
  year         = {2014},
}