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Complex Bosonic Many-body Models: Overview of the Small Field Parabolic Flow

Mathematical Physics 2018-03-28 v1 math.MP

Abstract

This paper is a contribution to a program to see symmetry breaking in a weakly interacting many Boson system on a three dimensional lattice at low temperature. It provides an overview of our analysis of the "small field" approximation to the "parabolic flow" which exhibits the formation of a "Mexican hat" potential well.

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Cite

@article{arxiv.1609.00968,
  title  = {Complex Bosonic Many-body Models: Overview of the Small Field Parabolic Flow},
  author = {Tadeusz Balaban and Joel Feldman and Horst Knörrer and Eugene Trubowitz},
  journal= {arXiv preprint arXiv:1609.00968},
  year   = {2018}
}

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36 pages