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1998•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOpen access

SU(3) breaking and hidden local symmetry

M. Benayoun, H.B. O’Connell

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Abstract

We study the various existing implementations of SU(3) breaking in the hidden local symmetry model for the low energy hadronic sector following a mechanism originally proposed by Bando, Kugo and Yamawaki (BKY). We pay particular attention to Hermiticity and current conservation. Following this, we present a new method for including symmetry breaking effects which preserves the BKY mass relation among vector mesons. Symmetry breaking (SB) necessarily requires a transformation of the pseudoscalar fields, which, following BKY, we refer to as field renormalization. We examine the consequences of propagating this through all Lagrangian terms including the anomalous ones. We thus explore the consequences of these various SB schemes for both charged and neutral pseudoscalar decay constants as measured in weak and anomalous decays respectively.

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We study the various existing implementations of SU(3) breaking in the hidden local symmetry model for the low energy hadronic sector following a mechanism originally proposed by Bando, Kugo and Yamawaki (BKY). We pay particular attention to Hermiticity and current conservation. Following this, we present a new method for including symmetry breaking effects which preserves the BKY mass relation among vector mesons. Symmetry breaking (SB) necessarily requires a transformation of the pseudoscalar fields, which, following BKY, we refer to as field renormalization. We examine the consequences of propagating this through all Lagrangian terms including the anomalous ones. We thus explore the consequences of these various SB schemes for both charged and neutral pseudoscalar decay constants as measured in weak and anomalous decays respectively.

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Available abstract

We study the various existing implementations of SU(3) breaking in the hidden local symmetry model for the low energy hadronic sector following a mechanism originally proposed by Bando, Kugo and Yamawaki (BKY). We pay particular attention to Hermiticity and current conservation. Following this, we present a new method for including symmetry breaking effects which preserves the BKY mass relation among vector mesons. Symmetry breaking (SB) necessarily requires a transformation of the pseudoscalar fields, which, following BKY, we refer to as field renormalization. We examine the consequences of propagating this through all Lagrangian terms including the anomalous ones. We thus explore the consequences of these various SB schemes for both charged and neutral pseudoscalar decay constants as measured in weak and anomalous decays respectively.

Key concepts: Pseudoscalar, Physics, Symmetry breaking, Particle physics, Local symmetry, Renormalization, Hadron, Symmetry (geometry)

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