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The Small Field Parabolic Flow for Bosonic Many-body Models: Part 1—Main Results and Algebra

Annales Henri Poincare, ISSN: 1424-0637, Vol: 20, Issue: 1, Page: 1-62
2019
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  • Citations
    1
    • Citation Indexes
      1

Article Description

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 is part of an analysis of the “small field” approximation to the “parabolic flow” which exhibits the formation of a “Mexican hat” potential well. Here we state the main result of this analysis, outline the strategy of the proof, which uses a renormalization group flow, and perform the first, algebraic, part of a renormalization group step.

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