• DOI:10.1007/BF01608557
Corpus ID: 16501561

Infrared bounds, phase transitions and continuous symmetry breaking

@article{Frhlich1976InfraredBP,
  title={Infrared bounds, phase transitions and continuous symmetry breaking},
  author={J. Fr{\"o}hlich and B. Simon and T. Spencer},
  journal={Communications in Mathematical Physics},
  year={1976},
  volume={50},
  pages={79-95}
}

• J. Fröhlich, B. Simon, T. Spencer
• Published 1976
• Mathematics
• Communications in Mathematical Physics

We present a new method for rigorously proving the existence of phase transitions. In particular, we prove that phase transitions occur in (φ·φ)32 quantum field theories and classical, isotropic Heisenberg models in 3 or more dimensions. The central element of the proof is that for fixed ferromagnetic nearest neighbor coupling, the absolutely continuous part of the two point function ink space is bounded by 0(k−2). When applicable, our results can be fairly accurate numerically. For example… Expand

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