The Axial Anomaly and the Sum Rules for Spin Dependent Electroproduction - INSPIRE

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The Axial Anomaly and the Sum Rules for Spin Dependent Electroproduction

R.L. Jaffe
(
- MIT, LNS
)

Jan, 1987

4 pages

Published in:

Phys.Lett.B 193 (1987) 101-104

Published: 1987

DOI:

10.1016/0370-2693(87)90464-3

Report number:

MIT-CTP-1445

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Abstract: (Elsevier)

The sum rules for deep inelastic scattering of polarized electrons from polarized protons or neutrons are re-examined in light of the non-conservation of the U(1) axial current in QCD. I derive inequalities (at large Q 2 ) ∫ 0 1 d x g ep 1 (x, Q 2 )⩾(1.18±0.01)[−α s (Q 2 )/π] and ∫ 0 1 d x g en 1 (x, Q 2 ) ⩾ (−0.82±0.01)[1−α s (Q 2 )/π] , which are likely to be saturated. The deviations of these results from parton model sum rules are direct consequences of the axial anomaly.

ELECTRON NUCLEON: DEEP INELASTIC SCATTERING
DEEP INELASTIC SCATTERING: ELECTRON NUCLEON
ELECTRON: POLARIZED BEAM
POLARIZED BEAM: ELECTRON
NUCLEON: POLARIZED TARGET
POLARIZED TARGET: NUCLEON
QUANTUM CHROMODYNAMICS: SUM RULE
NUCLEON: STRUCTURE FUNCTION
SUM RULE: LOWER LIMIT
ANOMALY: AXIAL

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