Coleman theorem on symmetry breaking in two dimensions

Target entity: Coleman theorem on symmetry breaking in two dimensions
Context triple: [Sidney Coleman, notableIdea, Coleman theorem on symmetry breaking in two dimensions]

• A. Kramers–Wannier duality in the Ising model
  Kramers–Wannier duality in the Ising model is a mathematical transformation that relates the high-temperature and low-temperature phases of the two-dimensional Ising model, revealing the location of its critical point and illustrating a deep symmetry between ordered and disordered states.
• B. Yang–Lee theory
  Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
• C. Lectures on Phase Transitions and the Renormalization Group
  *Lectures on Phase Transitions and the Renormalization Group* is a widely used advanced physics textbook that provides a clear, modern introduction to critical phenomena, scaling, and renormalization group methods in statistical mechanics and condensed matter physics.
• D. Landau theory of second-order phase transitions
  Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
• E. Luttinger liquid theory
  Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Coleman theorem on symmetry breaking in two dimensions
Target entity description: The Coleman theorem on symmetry breaking in two dimensions is a result in quantum field theory stating that continuous symmetries cannot undergo spontaneous symmetry breaking in two-dimensional spacetime due to large infrared fluctuations.

• A. Kramers–Wannier duality in the Ising model
  Kramers–Wannier duality in the Ising model is a mathematical transformation that relates the high-temperature and low-temperature phases of the two-dimensional Ising model, revealing the location of its critical point and illustrating a deep symmetry between ordered and disordered states.
• B. Yang–Lee theory
  Yang–Lee theory is a framework in statistical mechanics and phase transition theory that studies the distribution of zeros of the partition function in the complex plane to understand critical phenomena.
• C. Lectures on Phase Transitions and the Renormalization Group
  *Lectures on Phase Transitions and the Renormalization Group* is a widely used advanced physics textbook that provides a clear, modern introduction to critical phenomena, scaling, and renormalization group methods in statistical mechanics and condensed matter physics.
• D. Landau theory of second-order phase transitions
  Landau theory of second-order phase transitions is a phenomenological framework that explains continuous phase transitions by expanding the free energy in terms of an order parameter and analyzing symmetry-breaking behavior near critical points.
• E. Luttinger liquid theory
  Luttinger liquid theory is a framework describing the collective, non-Fermi-liquid behavior of interacting electrons in one-dimensional conductors, where excitations are best understood as bosonic density waves rather than quasiparticles.
• F. None of above. chosen