• Corpus ID: 215737029

On a dual representation of the Goldstone manifold

@article{JimenezHoyos2020OnAD,
  title={On a dual representation of the Goldstone manifold},
  author={Carlos A. Jim'enez-Hoyos and R. Rodr'iguez-Guzm'an and Thomas M. Henderson and Gustavo E. Scuseria},
  journal={arXiv: Chemical Physics},
  year={2020}
}
An intrinsic wavefunction with a broken continuous symmetry can be rotated with no energy penalty leading to an infinite set of degenerate states known as a Goldstone manifold. In this work, we show that a dual representation of such manifold exists that is sampled by an infinite set of non-degenerate states. A proof that both representations are equivalent is provided. From the work of Peierls and Yoccoz (Proc. Phys. Soc. A {\bf 70}, 381 (1957)), it is known that collective states with good… 

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