Renormalization of the Axial Anomaly Operators

Espriu, D.; Tarrach, R.

doi:10.1007/BF01573750

Renormalization of the Axial Anomaly Operators

D. Espriu
(
- Barcelona U.
)
,
R. Tarrach
(
- Barcelona U.
)

Jun, 1982

21 pages

Published in:

Z.Phys.C 16 (1982) 77

DOI:

10.1007/BF01573750

Report number:

UBFT-FP-3-82

reference search97 citations

Citations per year

Abstract: (Springer)

The renormalization of the three pseudoscalar gauge invariant operators which appear in the Adler-Bell-Jackiw anomaly is studied in the back-ground field gauge, where it is simplest. We analyse questions concerning renormalization-group invariance, mixing, the γ5-perscription inD dimensions, as well as the meaning of the nonrenormalization of the axial anomaly in the context of the renormalization of composite operators.

CURRENT: AXIAL-VECTOR
CURRENT: ANOMALY
RENORMALIZATION
SUM RULE
QUANTUM CHROMODYNAMICS: OPERATOR PRODUCT EXPANSION
MODEL: COMPOSITE
RENORMALIZATION GROUP
GAUGE FIELD THEORY: BACKGROUND GAUGE
FEYNMAN GRAPH: HIGHER-ORDER

References(30)

Figures(0)

Quantum Geometry of Fermionic Strings

Alexander M. Polyakov
(
- Landau Inst.
)

- Phys.Lett.B 103 (1981) 211-213,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 291-293,
•
DOI:
- 10.1016/0370-2693(81)90744-9

Quantum Geometry of Bosonic Strings

Alexander M. Polyakov
(
- Landau Inst.
)

- Phys.Lett.B 103 (1981) 207-210,
- In *Schwarz, J.H. (ed.): Superstrings, Vol. 1*, 287-290,
•
DOI:
- 10.1016/0370-2693(81)90743-7

Quantum Chromodynamics as Dynamics of Loops

Yu. Makeenko
(
- Moscow, ITEP
)
,
Alexander A. Migdal
(
- Moscow, ITEP
)

- Nucl.Phys.B 188 (1981) 269,
- Sov.J.Nucl.Phys. 32 (1980) 431,
- Yad.Fiz. 32 (1980) 838-854
•
DOI:
- 10.1016/0550-3213(81)90258-3

Confinement of Quarks

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.D 10 (1974) 2445-2459,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 45-59. ( Phys. Rev. D10 ( 1974) 2445-2459) and Cornell Univ. Ithaca - CLNS-74-262 (74,REC.MAR.) 47p,
•
DOI:
- 10.1103/PhysRevD.10.2445

QCD and Resonance Physics. Theoretical Foundations

- Nucl.Phys.B 147 (1979) 385-447
•
DOI:
- 10.1016/0550-3213(79)90022-1

QCD and Resonance Physics: Applications

- Nucl.Phys.B 147 (1979) 448-518
•
DOI:
- 10.1016/0550-3213(79)90023-3

The renormalization of FF

R. Tarrach
(
- Barcelona U.
)

- Nucl.Phys.B 196 (1982) 45-61
•
DOI:
- 10.1016/0550-3213(82)90301-7

Nonperturbative evaluation of the anomalies in low-energy theorems

R.J. Crewther
(
- Cornell U., LNS
)

- Phys.Rev.Lett. 28 (1972) 1421
•
DOI:
- 10.1103/PhysRevLett.28.1421

Canonical Anomalies and Broken Scale Invariance

Michael S. Chanowitz
(
- SLAC
)
,
John R. Ellis
(
- SLAC
)

- Phys.Lett.B 40 (1972) 397-400
•
DOI:
- 10.1016/0370-2693(72)90829-5

Canonical Trace Anomalies

Michael S. Chanowitz
(
- SLAC
)
,
John R. Ellis
(
- Caltech
)

- Phys.Rev.D 7 (1973) 2490-2506
•
DOI:
- 10.1103/PhysRevD.7.2490

Trace and Dilatation Anomalies in Gauge Theories

- Phys.Rev.D 16 (1977) 438-449
•
DOI:
- 10.1103/PhysRevD.16.438

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

Extracting the Vacuum Expectation Value of the Quantity alpha / pi G G from Gauge Theories on a Lattice

A. Di Giacomo
(
- Pisa U. and
- INFN, Pisa
)
,
G.C. Rossi
(
- Rome U. and
- INFN, Rome
)

- Phys.Lett.B 100 (1981) 481-484
•
DOI:
- 10.1016/0370-2693(81)90609-2

Ward Identities and Some Clues to the Renormalization of Gauge Invariant Operators

H. Kluberg-Stern
(
- Saclay
)
,
J.B. Zuber
(
- Saclay
)

- Phys.Rev.D 12 (1975) 467-481,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 267-281
•
DOI:
- 10.1103/PhysRevD.12.467

Renormalization of Nonabelian Gauge Theories in a Background Field Gauge. 2. Gauge Invariant Operators

H. Kluberg-Stern
(
- Saclay
)
,
J.B. Zuber
(
- Saclay
)

- Phys.Rev.D 12 (1975) 3159-3180
•
DOI:
- 10.1103/PhysRevD.12.3159

Dimensional regularization and the renormalization group

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 61 (1973) 455-468
•
DOI:
- 10.1016/0550-3213(73)90376-3

The Background Field Method Beyond One Loop

L.F. Abbott
(
- CERN
)

- Nucl.Phys.B 185 (1981) 189-203
•
DOI:
- 10.1016/0550-3213(81)90371-0

- Nucl.Phys.B 44 89

Dimensional regularization, abnormal amplitudes and anomalies

- Nuovo Cim.A 17 (1973) 578-586
•
DOI:
- 10.1007/BF02786835

Dimensional regularization and PCAC

- Nuovo Cim.A 18 (1973) 94-104
•
DOI:
- 10.1007/BF02820839

Anomalies via dimensional regularization

- Nuovo Cim.A 19 (1974) 219-224
•
DOI:
- 10.1007/BF02801848

Dimensional Renormalization and the Action Principle

- Commun.Math.Phys. 52 (1977) 11-38,
- Commun.Math.Phys.52 (1977) 11-38 and Muenchen Max-planck-inst Phys - MPI-PAE-PTH 25-74 (74,REC.JAN 75) 32p
•
DOI:
- 10.1007/BF01609069

Trace and Axial Anomalies in Dimensional Renormalization Through Zimmermann Like Identities

Guy Bonneau
(
- Paris U., VI-VII
)

- Nucl.Phys.B 171 (1980) 477-508
•
DOI:
- 10.1016/0550-3213(80)90382-X

Supersymmetric Dimensional Regularization via Dimensional Reduction

Warren Siegel
(
- Harvard U.
)

- Phys.Lett.B 84 (1979) 193-196
•
DOI:
- 10.1016/0370-2693(79)90282-X

QCD Nonleading Corrections to Weak Decays as an Application of Regularization by Dimensional Reduction

Guido Altarelli
(
- Rome U. and
- INFN, Rome
)
,
G. Curci
(
- Pisa, Scuola Normale Superiore and
- INFN, Pisa
)
,
G. Martinelli
(
- CERN
)
,
S. Petrarca
(
- Rome U. and
- INFN, Rome
)

- Nucl.Phys.B 187 (1981) 461-513
•
DOI:
- 10.1016/0550-3213(81)90473-9

1-25 of 30
1
2
25 / page