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: Green’s functions | Statement: [Ward–Takahashi identities, relatesTo, Green’s functions]

Target entity: Green’s functions
Context triple: [Ward–Takahashi identities, relatesTo, Green’s functions]

• A. Green's functions chosen
  Green's functions are mathematical tools used in physics and engineering to solve inhomogeneous differential equations and describe the propagation of fields or particles in space and time.
• B. Green's identities
  Green's identities are a set of integral formulas in vector calculus that relate functions and their Laplacians over a region to their behavior on the region’s boundary, forming a foundation for potential theory and partial differential equations.
• C. Born expansion of Green’s function
  The Born expansion of Green’s function is a perturbative series representation used in scattering theory to express the Green’s function as a sum of successive interaction terms.
• D. Wiener–Hopf equations
  Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
• E. Wightman functions
  Wightman functions are vacuum expectation values of time-ordered products of quantum fields that rigorously encode the correlation structure and axiomatic foundations of relativistic quantum field theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.