Chiral Sum Rules to Second Order in Quark Mass

Journal Article · Sat Nov 01 04:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.4092· OSTI ID:553128

Golowich, E ^[1]; Kambor, J ^[2]

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1. Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01003 (United States)
2. Institut fuer Theoretische Physik, Universitaet Zuerich, CH-8057 Zuerich (Switzerland)

A new calculation of the isospin and hypercharge axial-vector current propagators [{Delta}{sup {mu}{nu}}{sub A33}( q{sup 2}) and {Delta}{sup {mu}{nu}}{sub A88}( q{sup 2}) ] to two loops in SU(3){times}SU(3) chiral perturbation theory is used to derive chiral spectral function sum rules valid to second order in the light quark masses. Explicit forms are given for the three-pion isospin axial-vector spectral functions at low energy, and application of the sum rules to the determination of counterterms of the chiral Lagrangian is discussed. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 553128
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 21 Vol. 79; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
AXIAL-VECTOR CURRENTS
CHIRAL SYMMETRY
HYPERCHARGE
ISOSPIN
LAGRANGIAN FUNCTION
MASS
PERTURBATION THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUARKS
SPECTRAL FUNCTIONS
SU-3 GROUPS
SUM RULES