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High temperatures can surprisingly break symmetries in quantum field theory. This study demonstrates symmetry breaking in a local, unitary 2+1 dimensional model at any temperature.

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Area of Science:

  • Quantum Field Theory
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • High temperatures are conventionally associated with increased disorder.
  • The behavior of quantum field theories at finite temperatures is crucial for understanding many physical phenomena.
  • Symmetry breaking at finite temperatures has been observed in specific theoretical limits.

Purpose of the Study:

  • To investigate the effect of high temperatures on symmetry in quantum field theory in 2+1 dimensions.
  • To explore a novel class of tractable models for this investigation.
  • To demonstrate symmetry breaking in a local, unitary model with a finite number of fields.

Main Methods:

  • Exploration of nearly-mean-field scalars interacting with critical scalars.
  • Identification of ultraviolet-complete, local, and unitary models.
  • Analysis of the phase diagram at various temperatures.

Main Results:

  • Symmetry breaking (Z_{2}→∅) was observed at any temperature in certain regions of the phase diagram.
  • This phenomenon was achieved within a local, unitary 2+1 dimensional model.
  • The study presents a model with a finite number of fields exhibiting this behavior.

Conclusions:

  • Symmetry breaking can occur at any temperature in specific quantum field theory models.
  • This work extends the observation of finite-temperature symmetry breaking to local, unitary 2+1 dimensional systems.
  • The findings challenge the simple notion that high temperatures only increase disorder.