Algebraic Approach to Bose–Einstein Condensation in Relativistic Quantum Field Theory: Spontaneous Symmetry Breaking and the Goldstone Theorem

@article{Brunetti2019AlgebraicAT,
  title={Algebraic Approach to Bose–Einstein Condensation in Relativistic Quantum Field Theory: Spontaneous Symmetry Breaking and the Goldstone Theorem},
  author={Romeo Brunetti and Klaus Fredenhagen and Nicola Pinamonti},
  journal={Annales Henri Poincar{\'e}},
  year={2019},
  volume={22},
  pages={951 - 1000}
}
We construct states describing Bose–Einstein condensates at finite temperature for a relativistic massive complex scalar field with |φ|4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$|\varphi |^4$$\end{document}-interaction. We start with the linearized theory over a classical condensate and construct interacting… 
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