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 the analysis, given in Balaban et al. (The small field parabolic flow for bosonic many-body models: part 1—main results and algebra, arXiv:1609.01745, 2016, The small field parabolic flow for bosonic many-body models: part 2—fluctuation integral and renormalization, arXiv:1609.01746, 2016), of the ‘small field’ approximation to the ‘parabolic flow’ which exhibits the formation of a ‘Mexican hat’ potential well.
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Communicated by Vieri Mastropietro.
Research supported in part by the Natural Sciences and Engineering Research Council of Canada and the Forschungsinstitut für Mathematik, ETH Zürich.
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Balaban, T., Feldman, J., Knörrer, H. et al. Complex Bosonic Many-Body Models: Overview of the Small Field Parabolic Flow. Ann. Henri Poincaré 18, 2873–2903 (2017). https://doi.org/10.1007/s00023-017-0587-9
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DOI: https://doi.org/10.1007/s00023-017-0587-9