The Role of the Axial Anomaly in Measuring Spin Dependent Parton Distributions

Carlitz, Robert D.; Collins, John C.; Mueller, Alfred H.

doi:10.1016/0370-2693(88)91474-8

The Role of the Axial Anomaly in Measuring Spin Dependent Parton Distributions

Sep 6, 1988

8 pages

Published in:

Phys.Lett.B 214 (1988) 229-236

Published: 1988

DOI:

10.1016/0370-2693(88)91474-8

Report number:

DOE-ER-40423-11-P8

View in:

ADS Abstract Service

reference search668 citations

Citations per year

Abstract: (Elsevier)

It is shown that forward matrix elements of j 5 μ , the flavor singlet axial vector current, do not merely measure the helicity carried by quarks and antiquarks but also include a spin-dependent gluonic component due to the anomaly. In perturbation theory the exact value of the gluonic component depends on the infrared regulator, and we argue that computing off-shell matrix elements with zero-mass quarks gives the proper method of regulation to exhibit the chiral properties of the theory. We suggest measuring two-jet production in deep inelastic scattering off polarized targets as a means of determining the spin-dependent gluonic component of j 5 μ .

CURRENT: AXIAL-VECTOR
ANOMALY: AXIAL
spin dependence
DEPENDENCE: SPIN
LEPTON HADRON: DEEP INELASTIC SCATTERING
DEEP INELASTIC SCATTERING: LEPTON HADRON
LEPTON: POLARIZED BEAM
POLARIZED BEAM: LEPTON
HADRON: POLARIZED TARGET
POLARIZED TARGET: HADRON

References(13)

Figures(0)

A Measurement of the Spin Asymmetry and Determination of the Structure Function g(1) in Deep Inelastic Muon-Proton Scattering

European Muon

Collaboration

•

J. Ashman
(
- Sheffield U.
)

et al.

- Phys.Lett.B 206 (1988) 364,
•
DOI:
- 10.1016/0370-2693(88)91523-7

Applications of the Chiral U(6) x (6) Algebra of Current Densities

J.D. Bjorken
(
- SLAC
)

- Phys.Rev. 148 (1966) 1467-1478
•
DOI:
- 10.1103/PhysRev.148.1467

Measurements of Hyperon Semileptonic Decays at the CERN Super Proton Synchrotron. 4. Tests of the Cabibbo Model

Bristol-Geneva-Heidelberg-Orsay-Rutherford-Strasbourg

Collaboration

•

M. Bourquin
(
- U. Geneva (main)
)

et al.

- Z.Phys.C 21 (1983) 27
•
DOI:
- 10.1007/BF01648773

Chiral Symmetry and the Spin of the Proton

- Phys.Lett.B 206 (1988) 309-315
•
DOI:
- 10.1016/0370-2693(88)91511-0

The Spin Content of the Proton

F.E. Close
(
- Tennessee U.
)
,
R.G. Roberts
(
- Rutherford
)

- Phys.Rev.Lett. 60 (1988) 1471
•
DOI:
- 10.1103/PhysRevLett.60.1471

The Axial Anomaly and the Sum Rules for Spin Dependent Electroproduction

R.L. Jaffe
(
- MIT, LNS
)

- Phys.Lett.B 193 (1987) 101-104
•
DOI:
- 10.1016/0370-2693(87)90464-3

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

J.S. Bell
(
- CERN
)
,
R. Jackiw
(
- CERN
)

- Nuovo Cim.A 60 (1969) 47-61
•
DOI:
- 10.1007/BF02823296

Axial vector vertex in spinor electrodynamics

Stephen L. Adler
(
- Princeton U.
)

- Phys.Rev. 177 (1969) 2426-2438,
•
DOI:
- 10.1103/PhysRev.177.2426

Regularization and Renormalization of Gauge Fields

Gerard 't Hooft
(
- Utrecht U.
)
,
M.J.G. Veltman
(
- Utrecht U.
)

- Nucl.Phys.B 44 (1972) 189-213,
- Also in *Lai, C. H. ( Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 322-346
•
DOI:
- 10.1016/0550-3213(72)90279-9

Orbital Angular Momentum and the Parton Model

P.G. Ratcliffe
(
- Queen Mary, U. of London
)

- Phys.Lett.B 192 (1987) 180,
- Protvino Symp.1986 v.2:42
•
DOI:
- 10.1016/0370-2693(87)91163-4

QCD Higher Order Effects in Polarized Electroproduction: Flavor Singlet Coefficient Functions

Jiro Kodaira
(
- Kyoto U., Yukawa Inst., Kyoto
)

- Nucl.Phys.B 165 (1980) 129-140
•
DOI:
- 10.1016/0550-3213(80)90310-7

Asymptotic Freedom in Parton Language

- Nucl.Phys.B 126 (1977) 298-318
•
DOI:
- 10.1016/0550-3213(77)90384-4

A Sum Rule for Deep Inelastic Electroproduction from Polarized Protons

John R. Ellis
(
- Caltech and
- SLAC
)
,
Robert L. Jaffe
(
- MIT, LNS and
- SLAC
)

- Phys.Rev.D 9 (1974) 1444,
- Phys.Rev.D 10 (1974) 1669 (erratum)
•
DOI:
- 10.1103/PhysRevD.9.1444