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• W3106071061 abstract "We analyze the phenomenon of fermion pairing into an effective boson associated with anomalies and the anomalous commutators of currents bilinear in the fermion fields. In two spacetime dimensions the chiral bosonization of the Schwinger model is determined by the axial current anomaly of massless Dirac fermions. A similar bosonized description applies to the 2D conformal trace anomaly of the fermion stress tensor. For both the chiral and conformal anomalies, correlation functions involving anomalous currents, $j^{mu}_5$ or $T^{munu}$ of massless fermions exhibit a massless boson $1/k^2$ pole, and the associated spectral functions obey a UV finite sum rule, becoming $delta$-functions in the massless limit. In both cases the corresponding effective action of the anomaly is non-local, but may be expressed in a local form by the introduction of a new bosonic field, which becomes a bona fide propagating quantum field in its own right. In both cases this is expressed in Fock space by the anomalous Schwinger commutators of currents becoming the canonical commutation relations of the corresponding boson. The boson has a Fock space operator realization as a coherent superposition of massless fermion pairs, which saturates the intermediate state sums in quantum correlation functions of fermion currents. The Casimir energy of fermions on a finite spatial interval $[0,L]$ can also be described as a coherent scalar condensation of pairs, and the one-loop correlation function of any number $n$ of fermion stress tensors $langle TTdots Trangle$ may be expressed as a combinatoric sum of $n!/2$ linear tree diagrams of the scalar boson." @default.
• W3106071061 created "2020-11-23" @default.
• W3106071061 creator A5033604278 @default.
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• W3106071061 date "2014-12-01" @default.
• W3106071061 modified "2023-10-13" @default.
• W3106071061 title "Fermion pairing and the scalar boson of the 2D conformal anomaly" @default.
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• W3106071061 doi "https://doi.org/10.1007/jhep12(2014)153" @default.
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