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Symmetry breaking in a gas of bosons - an approach using constructive field theory

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SRQW01 - Renormalisation in quantum field theory and in stochastic partial differential equations: a gentle introduction and some recent developments

T.Balaban, J.Feldman, E.Trubowitz and the speaker have the long term goal to rigorously demonstrate symmetry breaking in a gas of weakly interaction bosons hopping on a three-dimensional lattice. Technically, to show that the correlation functions decay at a nonintegrable rate when the chemical potential is sufficiently positive, the nonintegrability reflecting the presence of a long range Goldstone boson mediating the inteaction between quasiparticles in the superfluid condensate.

In addition to a report on the status of this program, I will try to describe in more detail the method of block spin transformations that we use to define and control a renormalization group flow.

This talk is part of the Isaac Newton Institute Seminar Series series.

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