Scalars and Pseudoscalars in Non-linear Chiral Dynamics Based on QCD

doi:https://doi.org/10.1007/978-1-4612-5619-9_8

Scalars and Pseudoscalars in Non-linear Chiral Dynamics Based on QCD

Douglas W. McKay,Herman J. Munczek-1983-01-01-Birkhäuser Boston eBooks

1

TL;DRAbstract

The 1/N expansion of quantum chromodynamics (QCD) has recently been advocated as a guide to the construction of the effective, hadronic chiral-Lagrangian, including the consequences of the U (1) axial anomaly [1– 4]. We extend the standard non-linear chiral Lagrangian approach and include non-linearly transforming scalar fields In addition to the usuπal pseudoscalars. We thereby obtain a low-energy effective Lagrangian which incorporates both the usual PCAC and U (1) anomaly constraints and the new (for non-linear lagrangians) SU(3) breaking effects due to the scalar field vacuum expectation values. FK/Fπ ≠ 1 follows naturally in our approach, for example.

Chat with Paper

AI Agents for this Paper

The 1/N expansion of quantum chromodynamics (QCD) has recently been advocated as a guide to the construction of the effective, hadronic chiral-Lagrangian, including the consequences of the U (1) axial anomaly [1– 4]. We extend the standard non-linear chiral Lagrangian approach and include non-linearly transforming scalar fields In addition to the usuπal pseudoscalars. We thereby obtain a low-energy effective Lagrangian which incorporates both the usual PCAC and U (1) anomaly constraints and the new (for non-linear lagrangians) SU(3) breaking effects due to the scalar field vacuum expectation values. FK/Fπ ≠ 1 follows naturally in our approach, for example.

Keywords

PhysicsQuantum chromodynamicsParticle physicsScalar (mathematics)Anomaly (physics)LagrangianHadronQCD vacuum

Chat

Click to start Chat