Power series representations for complex bosonic effective actions. III. Substitution and fixed point equations

@article{Baaban2016PowerSR,
title={Power series representations for complex bosonic effective actions. III. Substitution and fixed point equations},
author={Tadeusz Bałaban and Joel J. Feldman and Horst Knorrer and Eug{\e}ne Trubowitz},
journal={Annales de l’Institut Henri Poincar{\'e} D},
year={2016}
}`
• Published 4 September 2016
• Mathematics
• Annales de l’Institut Henri Poincaré D
We have previously developed a polymer-like expansion that applies when the (effective) action in a functional integral is an analytic function of the fields being integrated. Here, we develop methods to aid the application of this technique when the method of steepest descent is used to analyze the functional integral. We develop a version of the Banach fixed point theorem that can be used to construct and control the critical fields, as analytic functions of external fields, and substitution…
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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
• Physics
Annales Henri Poincaré
• 2018
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
• Physics
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• 2018
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 "small
• Physics
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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 provides an overview of the
• Physics
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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