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: Faddeev–Popov ghosts | Statement: [Yang–Mills theory, includesFeature, Faddeev–Popov ghosts]

Target entity: Faddeev–Popov ghosts
Context triple: [Yang–Mills theory, includesFeature, Faddeev–Popov ghosts]

• A. Slavnov–Taylor identities
  Slavnov–Taylor identities are relations in non-Abelian gauge theories that generalize Ward identities, ensuring the consistency and renormalizability of gauge-invariant quantum field theories.
• B. Ward–Takahashi identities
  The Ward–Takahashi identities are fundamental relations in quantum field theory that express the consequences of gauge or global symmetries for Green’s functions and ensure the consistency of renormalization with these symmetries.
• C. Schwinger–Dyson equations
  The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
• D. Faddeev’s axioms
  Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
• E. Polyakov loop
  The Polyakov loop is a gauge-invariant observable in finite-temperature quantum chromodynamics used to probe confinement and deconfinement phases of quarks and gluons.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Faddeev–Popov ghosts
Triple: [Yang–Mills theory, includesFeature, Faddeev–Popov ghosts]

Faddeev–Popov ghosts are auxiliary, anticommuting fields introduced in the path integral quantization of non-Abelian gauge theories to correctly account for gauge redundancy and maintain unitarity and renormalizability.

Target entity: Faddeev–Popov ghosts
Target entity description: Faddeev–Popov ghosts are auxiliary, anticommuting fields introduced in the path integral quantization of non-Abelian gauge theories to correctly account for gauge redundancy and maintain unitarity and renormalizability.

• A. Slavnov–Taylor identities
  Slavnov–Taylor identities are relations in non-Abelian gauge theories that generalize Ward identities, ensuring the consistency and renormalizability of gauge-invariant quantum field theories.
• B. Ward–Takahashi identities
  The Ward–Takahashi identities are fundamental relations in quantum field theory that express the consequences of gauge or global symmetries for Green’s functions and ensure the consistency of renormalization with these symmetries.
• C. Schwinger–Dyson equations
  The Schwinger–Dyson equations are a set of integral equations in quantum field theory that relate correlation functions and encode the full dynamics of a quantum field.
• D. Faddeev’s axioms
  Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
• E. Polyakov loop
  The Polyakov loop is a gauge-invariant observable in finite-temperature quantum chromodynamics used to probe confinement and deconfinement phases of quarks and gluons.
• F. None of above. chosen