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: Yang–Mills theories | Statement: [Ward–Takahashi identities, appliesTo, Yang–Mills theories]

Target entity: Yang–Mills theories
Context triple: [Ward–Takahashi identities, appliesTo, Yang–Mills theories]

• A. Yang–Mills theory chosen
  Yang–Mills theory is a gauge field theory describing the behavior of non-abelian gauge fields, forming the mathematical foundation for modern particle physics, including the strong and electroweak interactions.
• B. gauge theory
  Gauge theory is a class of field theories in physics and mathematics in which the fundamental interactions are described by fields that are invariant under continuous local symmetry (gauge) transformations, forming the basis of the Standard Model of particle physics.
• C. Chern–Simons theory
  Chern–Simons theory is a topological quantum field theory in three dimensions that plays a central role in modern geometry, topology, and theoretical physics, particularly in the study of knot invariants and gauge fields.
• D. Schwinger model
  The Schwinger model is a two-dimensional quantum electrodynamics theory that serves as a exactly solvable toy model for studying phenomena like confinement, chiral symmetry breaking, and anomalies in quantum field theory.
• E. Seiberg–Witten theory
  Seiberg–Witten theory is a framework in quantum field theory and string theory that uses supersymmetry to exactly analyze strongly coupled gauge theories, leading to profound insights into dualities and four-dimensional topology.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.