The Axial Anomaly and the Bound State Spectrum in Confining Theories

Frishman, Y.; Schwimmer, A.; Banks, Tom; Yankielowicz, S.

doi:10.1016/0550-3213(81)90268-6

The Axial Anomaly and the Bound State Spectrum in Confining Theories

Jun, 1980

15 pages

Published in:

Nucl.Phys.B 177 (1981) 157-171

Published: 1981

DOI:

10.1016/0550-3213(81)90268-6

Report number:

WIS-80/27-Ph

reference search315 citations

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Abstract: (Elsevier)

We show that the axial anomaly of three-point functions of colour singlet currents in quark confining theories implies the presence of zero-mass bound states in the physical spectrum. These can be either massless fermions or Goldstone bosons. This supplements an argument given by 't Hooft. We then show, for any number of colours (with more than two flavours), that Goldstone bosons actually follow. Various aspects of heavy quark decoupling are also discussed.

QUARK: CONFINEMENT
QUARK: COLOR
VERTEX FUNCTION
AXIAL: ANOMALY
BOUND STATE: MASSLESS
MASSLESS: BOUND STATE
FERMION: MASSLESS
MASSLESS: FERMION
FERMION: SPECTRUM
SPECTRUM: FERMION

References(7)

Figures(0)

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The Axial Anomaly and the Bound State Spectrum in Confining Theories

Citations per year

Axial vector vertex in spinor electrodynamics

A PCAC puzzle: π0→γγ\pi^0 \to \gamma \gammaπ0→γγ in the σ\sigmaσ model

Absence of higher order corrections in the anomalous axial vector divergence equation

On Conservation of the axial current in massless electrodynamics

Chiral Symmetry Breaking in Quark Confining Theories

Infrared Singularities and Massive Fields

Infrared singularities and small distance behavior analysis

A PCAC puzzle: $\pi^0 \to \gamma \gamma$ in the $\sigma$ model