The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics

@article{Feliciangeli2021TheSC,
  title={The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics},
  author={Dario Feliciangeli and Robert Seiringer},
  journal={Archive for Rational Mechanics and Analysis},
  year={2021},
  volume={242},
  pages={1835 - 1906}
}
We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging. 

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