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

@article{Baaban2016ComplexBM, title={Complex Bosonic Many-Body Models: Overview of the Small Field Parabolic Flow}, author={Tadeusz Bałaban and Joel J. Feldman and Horst Kn{\"o}rrer and Eug{\`e}ne Trubowitz}, journal={Annales Henri Poincar{\'e}}, year={2016}, volume={18}, pages={2873-2903} }

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…

## 26 Citations

### The Small Field Parabolic Flow for Bosonic Many-Body Models: Part 2—Fluctuation Integral and Renormalization

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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…

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

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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…

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### The Small Field Parabolic Flow for Bosonic Many-body Models: Part 3 - Nonperturbatively Small Errors

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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…

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Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even though a proof of…

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In this paper, we describe a multi-scale technique introduced in Pizzo (Bose particles in a box I. A convergent expansion of the ground state of a three-modes Bogoliubov Hamiltonian, [32]) to study…

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Block spin renormalization group is the main tool used in our program to see symmetry breaking in a weakly interacting many Boson system on a three dimensional lattice at low temperature. In this…

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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…

### The Small Field Parabolic Flow for Bosonic Many-body Models: Part 4 - Background and Critical Field Estimates

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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…

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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…

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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…

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