Corpus ID: 119136390

Non-existence of ground states in the translation invariant Nelson model

  title={Non-existence of ground states in the translation invariant Nelson model},
  author={Thomas Norman Dam},
  journal={arXiv: Mathematical Physics},
  • T. N. Dam
  • Published 31 July 2018
  • Physics, Mathematics
  • arXiv: Mathematical Physics
In this paper we consider the massless translation invariant Nelson model with ultraviolet cutoff. It is proven that the fiber operators have no ground state if there is no infrared cutoff. 
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