# Effect of Gravitational Waves on Yang-Mills condensates

**Authors:** Narasimha Reddy Gosala, Arundhati Dasgupta  
**arXiv:** [2401.12330](https://arxiv.org/abs/2401.12330)  
**Date:** 2024-01-22  
**Summary page:** https://www.summarizepaper.com/en/paper/2401.12330v1/

## 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

## Summary

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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.