Effect of Gravitational Waves on Yang-Mills condensates

Authors: Narasimha Reddy Gosala, Arundhati Dasgupta

23 pages, 20 figures
License: CC BY 4.0

Results of the summarizing process for the arXiv paper: 2401.12330v1

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, , , , In this article, the authors investigate the effects of Gravitational Waves (GW) on Yang-Mills (YM) condensates. They re-analyse the study of fluctuations in the system by decomposing the gauge field into condensate, longitudinal, and transverse modes. The authors find that there is an energy transfer between the condensate and modes, but this effect is delayed and dependent on initial conditions. Over time, the modes and condensate exchange energy in an oscillatory manner, highlighting the non-linear nature of their interactions. One interesting finding is that even if the transverse modes of the gauge field were initially zero, they are generated by GW. Additionally, GW determines the initial conditions for the decay of the condensate. The authors also explore how Fermions in YM condensates and GW backgrounds affect isotropy and coupling between different flavors of SU(2) group Fermions. They observe that Fermions break isotropy in the condensate and induce flavor fluctuations. These findings have important implications for experimental observations and quark-gluon plasma. The induced flavor fluctuations due to GW can impact experimental measurements, providing new insights into quark-gluon plasma behavior. Overall, this study sheds light on how GW interactions affect YM wave fluctuations in classical homogeneous YM condensates and provides valuable insights into their dynamics and implications for fundamental physics research.
AI-generated keywords: Gravitational Waves

AI-generated Key Points

  • Investigating effects of Gravitational Waves (GW) on Yang-Mills (YM) condensates
  • Energy transfer between condensate and modes, dependent on initial conditions
  • Modes and condensate exchange energy in an oscillatory manner
  • Transverse modes generated by GW even if initially zero
  • GW determines initial conditions for decay of condensate
  • Fermions in YM condensates and GW backgrounds affect isotropy and coupling between different flavors of SU(2) group Fermions
  • Fermions break isotropy in the condensate and induce flavor fluctuations
  • Implications for experimental observations and quark-gluon plasma behavior
  • Induced flavor fluctuations due to GW can impact experimental measurements
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Abstract: In this article, we investigate how the Yang-Mills (YM) wave fluctuations of the classical homogeneous YM condensate get affected by interaction with a Gravitational Wave (GW). We re-analyse the study of fluctuations of the system using vector decomposition of the gauge field into condensate, longitudinal, and transverse modes. We find that there is an energy transfer between condensate and modes, but the effect is delayed, and dependent on the initial conditions. Over a long time the modes and the condensate exchange energy in an oscillatory way, and the non-linear nature of the interactions is evident. We find that the transverse modes of the fluctuations of the gauge field are generated by the GW even if they were initially zero, and the GW determines the initial conditions for the condensate to decay. We also studied the Fermions in the background of YM condensate and GW. We find that they break the isotropy of the condensate and they also couple Fermions of different flavours of the SU(2) group. The GW induces flavour fluctuations, and this has interesting implications for experimental observations and quark-gluon plasma.

Submitted to arXiv on 22 Jan. 2024

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