Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Mermin–Wagner theorem | Statement: [Coleman theorem on symmetry breaking in two dimensions, relatedTo, Mermin–Wagner theorem]

Target entity: Mermin–Wagner theorem
Context triple: [Coleman theorem on symmetry breaking in two dimensions, relatedTo, Mermin–Wagner theorem]

• A. Kosterlitz–Thouless–Halperin–Nelson–Young theory
  The Kosterlitz–Thouless–Halperin–Nelson–Young theory is a framework in condensed matter physics that explains phase transitions in two-dimensional systems via topological defects and the unbinding of vortex–antivortex pairs, rather than conventional symmetry breaking.
• B. Coleman theorem on symmetry breaking in two dimensions
  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.
• C. Landau–Peierls instability
  Landau–Peierls instability is a theoretical prediction in condensed matter physics that shows how long-wavelength thermal fluctuations destroy true long-range positional order in low-dimensional crystalline systems.
• 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. 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.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Mermin–Wagner theorem
Target entity description: The Mermin–Wagner theorem is a fundamental result in statistical physics and quantum field theory stating that continuous symmetries cannot be spontaneously broken at finite temperature in one- and two-dimensional systems with short-range interactions, thereby forbidding long-range order such as conventional ferromagnetism in these low dimensions.

• A. Kosterlitz–Thouless–Halperin–Nelson–Young theory
  The Kosterlitz–Thouless–Halperin–Nelson–Young theory is a framework in condensed matter physics that explains phase transitions in two-dimensional systems via topological defects and the unbinding of vortex–antivortex pairs, rather than conventional symmetry breaking.
• B. Coleman theorem on symmetry breaking in two dimensions
  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.
• C. Landau–Peierls instability
  Landau–Peierls instability is a theoretical prediction in condensed matter physics that shows how long-wavelength thermal fluctuations destroy true long-range positional order in low-dimensional crystalline systems.
• 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. 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.
• F. None of above. chosen