Adler–Bell–Jackiw anomaly

Target entity: Adler–Bell–Jackiw anomaly
Context triple: ['t Hooft anomaly, relatesTo, Adler–Bell–Jackiw anomaly]

• A. ’t Hooft anomaly
  ’t Hooft anomaly is a quantum field theory phenomenon where a classical global symmetry cannot be consistently preserved at the quantum level, imposing powerful constraints on the dynamics and possible phases of the theory.
• 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. Heisenberg–Euler effective Lagrangian
  The Heisenberg–Euler effective Lagrangian is a quantum electrodynamics result that captures nonlinear corrections to classical electromagnetism arising from virtual electron–positron pair effects in strong electromagnetic fields.
• D. Gell-Mann–Low theorem
  The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
• E. 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.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Adler–Bell–Jackiw anomaly
Target entity description: The Adler–Bell–Jackiw anomaly is a quantum field theory phenomenon in which a classical chiral symmetry is broken by quantum effects, famously explaining the decay of the neutral pion into two photons.

• A. ’t Hooft anomaly
  ’t Hooft anomaly is a quantum field theory phenomenon where a classical global symmetry cannot be consistently preserved at the quantum level, imposing powerful constraints on the dynamics and possible phases of the theory.
• 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. Heisenberg–Euler effective Lagrangian
  The Heisenberg–Euler effective Lagrangian is a quantum electrodynamics result that captures nonlinear corrections to classical electromagnetism arising from virtual electron–positron pair effects in strong electromagnetic fields.
• D. Gell-Mann–Low theorem
  The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
• E. 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.
• F. None of above. chosen