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Analysis of the chiral anomaly in dimensional regularization by the projection technique. (English. Russian original) Zbl 1024.81517

Theor. Math. Phys. 109, No. 3, 1536-1543 (1996); translation from Teor. Mat. Fiz. 109, No. 3, 372-380 (1996).
Summary: A self-consistent method for calculating the chiral anomaly in dimensional regularization without the four-dimensional symbols \(\gamma_5\) and \(\varepsilon_{\mu\nu\lambda\rho}\) is proposed. The method is applied to the calculation and analysis of chiral symmetry in massless quantum electrodynamics.

MSC:

81T50 Anomalies in quantum field theory
81V10 Electromagnetic interaction; quantum electrodynamics
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[1] P. A. Baikov and V. A. Il’in,Theor. Math. Phys.,88, 789 (1991).
[2] S. A. Larin,Phys. Lett. B,303, 113 (1993).
[3] J. Collins,Renormalization. An Introduction to Renormalization, the Renormalization Group, and the Operator-Product Expansion, Cambridge University Press, New Rochelle-Melbourne-Sydney (1984). · Zbl 1094.53505
[4] S. Adler and W. Bardeen,Phys. Rev.,182, 1517 (1969).
[5] A. Bondi, G. Curci, G. Paffuti, and P. Rossi,Ann. Phys.,199, 268 (1990).
[6] A. N. Vasiliev, M. I. Viazovskii, S. E. Derkachev, and N. A. Kivel,Theor. Math. Phys.,107, 441 (1996). · Zbl 0937.81045
[7] N. N. Bogolubov and D. V. Shirkov,Introduction to the Theory of Quantum Fields, Wiley, New York (1959). · Zbl 0088.21701
[8] A. Kennedy,J. Math. Phys.,22, 1330 (1981); L. V. Avdeev,Teor. Mat. Fiz.,58, 308 (1984); A. N. Vasiliev. S. E. Derkachev, and N. A. Kivel,Theor. Math. Phys.,103, 487 (1995).
[9] A. N. Vasiliev,Theor. Math. Phys.,81, 1244 (1989).
[10] S. G. Gorishny, A. L. Kataev, S. A. Larin, and L. R. Surguladze,Phys. Lett. B,256, 81 (1991).
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