Current Algebras and Matrix Elements of the Axial-Vector Current

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26 August 1966

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 148 (4) , 1405-1407
https://doi.org/10.1103/physrev.148.1405

Abstract

The matrix elements of the axial-vector current are calculated directly from the algebra of chiral

U (3) \times U (3)

and from its chiral isospin

U (2) \times U (2)

subgroup without writing down sum rules.

G_{A}

is evaluated for the

SU {(6)}_{W}

56, 70, and 20 representations for various values of

L

and

W

.

Keywords

This publication has 10 references indexed in Scilit:

Current Commutators and Representation Mixing
Physical Review Letters, 1966
Relation Between $\frac{D}{F}$ AND $\frac{G_{A}}{G_{V}}$ from Current Algebra
Physical Review Letters, 1966
Approximate symmetry and the algebra of current components
Physics Letters, 1965
Renormalization of the Weak Axial-Vector Coupling Constant
Physical Review Letters, 1965
Calculation of the Axial-Vector Coupling Constant Renormalization in $β$ Decay
Physical Review Letters, 1965
Algebra of Current Components and Their Moments: An Interpretation of SU(6)
Physical Review Letters, 1965
Angular Momentum and the Algebra of Current Components
Physical Review Letters, 1965
Spin and Unitary Spin Independence of Strong Interactions
Physical Review Letters, 1964
The symmetry group of vector and axial vector currents
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Physical Review B, 1962