Chiral Symmetry in Light-Cone Field Theory
F. Lenz, K. Ohta, M. Thies, K. Yazaki
TL;DR
This paper investigates how chiral symmetry breaking manifests in light-cone field theory, addressing the unique non-local features and deriving modified Ward-Takahashi identities relevant for understanding Nambu-Goldstone bosons.
Contribution
It provides a systematic derivation of chiral Ward-Takahashi identities in light-cone field theory, including modifications due to non-locality and axial anomaly effects.
Findings
Derived general structure of chiral Ward-Takahashi identities
Explicit constructions for various model theories
Discussed modifications due to axial anomaly
Abstract
An analysis of spontaneously broken chiral symmetry in light-cone field theory is presented. The non-locality inherent to light-cone field theory requires revision of the standard procedure in the derivation of Ward-Takahashi identities. We derive the general structure of chiral Ward-Takahashi identities and construct them explicitly for various model field theories. Gell-Mann-Oakes-Renner relations and relations between fermion propagators and the structure functions of Nambu-Goldstone bosons are discussed and the necessary modifications of the Ward-Takahashi identities due to the axial anomaly are indicated.
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