Anomaly of the Axial-Vector Current in One Space and One Time Dimension

Shei, Sun-Sheng

doi:10.1103/PhysRevD.6.3469

Title: Anomaly of the Axial-Vector Current in One Space and One Time Dimension

Journal Article · Tue Aug 01 00:00:00 EDT 1972 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.6.3469· OSTI ID:1442562

Shei, Sun-Sheng

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Research Organization:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: AC02-76SF00515

OSTI ID:: 1442562

Report Number(s):: SLAC-PUB-1101; PRVDAQ

Journal Information:: Physical Review. D, Particles Fields, Vol. 6, Issue 12; ISSN 0556-2821

Country of Publication:: United States

Language:: English

References (19)

Axial-Vector Vertex in Spinor Electrodynamics Adler, Stephen L. Physical Review, Vol. 177, Issue 5 https://doi.org/10.1103/PhysRev.177.2426	journal	January 1969
A PCAC puzzle: π0→γγ in the σ-model Bell, J. S.; Jackiw, R. Il Nuovo Cimento A, Vol. 60, Issue 1 https://doi.org/10.1007/BF02823296	journal	March 1969
Electromagnetic Decays of Pseudoscalar Mesons Glashow, S. L.; Jackiw, R.; Shei, S. S. Physical Review, Vol. 187, Issue 5 https://doi.org/10.1103/PhysRev.187.1916	journal	November 1969
Low-Energy Theorem for $γ + γ \to π + π + π$ Adler, Stephen L.; Lee, Benjamin W.; Treiman, S. B. Physical Review D, Vol. 4, Issue 11 https://doi.org/10.1103/PhysRevD.4.3497	journal	December 1971
Low-Energy Theorem for $γ \to 3 π$ Aviv, Ruvi; Zee, A. Physical Review D, Vol. 5, Issue 9 https://doi.org/10.1103/PhysRevD.5.2372	journal	May 1972
Non-Lagrangian Models of Current Algebra Wilson, Kenneth G. Physical Review, Vol. 179, Issue 5 https://doi.org/10.1103/PhysRev.179.1499	journal	March 1969
Nonperturbative Evaluation of the Anomalies in Low-Energy Theorems Crewther, R. J. Physical Review Letters, Vol. 28, Issue 21 https://doi.org/10.1103/PhysRevLett.28.1421	journal	May 1972
Conformal Symmetry and Three-Point Functions Schreier, Ethan J. Physical Review D, Vol. 3, Issue 4 https://doi.org/10.1103/PhysRevD.3.980	journal	February 1971
Constraints on Anomalies Adler, Stephen L.; Callan, Curtis G.; Gross, David J. Physical Review D, Vol. 6, Issue 10 https://doi.org/10.1103/PhysRevD.6.2982	journal	November 1972
Gauge Invariance and Mass. II Schwinger, Julian Physical Review, Vol. 128, Issue 5 https://doi.org/10.1103/PhysRev.128.2425	journal	December 1962
A soluble relativistic field theory Thirring, Walter E. Annals of Physics, Vol. 3, Issue 1 https://doi.org/10.1016/0003-4916(58)90015-0	journal	January 1958
Solution of the equations for the green’s functions of a two dimensional relativistic field theory Johnson, K. Il Nuovo Cimento, Vol. 20, Issue 4 https://doi.org/10.1007/BF02731566	journal	May 1961
On the definition of currents and the action principle in field theories of one spatial dimension Sommerfield, Charles M. Annals of Physics, Vol. 26, Issue 1 https://doi.org/10.1016/0003-4916(64)90273-8	journal	January 1964
Current algebra and some non-strong mesonic decays Sutherland, D. G. Nuclear Physics B, Vol. 2, Issue 4 https://doi.org/10.1016/0550-3213(67)90180-0	journal	August 1967
Anomalous Dimensions and the Breakdown of Scale Invariance in Perturbation Theory Wilson, Kenneth G. Physical Review D, Vol. 2, Issue 8 https://doi.org/10.1103/PhysRevD.2.1478	journal	October 1970
On the Green's functions of quantized fields. I Schwinger, J. Proceedings of the National Academy of Sciences, Vol. 37, Issue 7 https://doi.org/10.1073/pnas.37.7.452	journal	July 1951
Gauge Invariance and Mass Schwinger, Julian Physical Review, Vol. 125, Issue 1 https://doi.org/10.1103/PhysRev.125.397	journal	January 1962
Anomalies of the Axial-Vector Current in Two Dimensions Georgi, Howard; Rawls, John M. Physical Review D, Vol. 3, Issue 4 https://doi.org/10.1103/PhysRevD.3.874	journal	February 1971
Anomalous Short-Distance Behavior of Quantum Field Theory: A Massive Thirring Model Mueller, A. H.; Trueman, T. L. Physical Review D, Vol. 4, Issue 6 https://doi.org/10.1103/PhysRevD.4.1635	journal	September 1971

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