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Universal regularizations. IV: Compensations of diagrams in Ward identities. (English. Russian original) Zbl 0934.81030
Theor. Math. Phys. 108, No. 2, 1046-1068 (1996); translation from Teor. Mat. Fiz. 108, No. 2, 249-275 (1996).
Summary: [For Parts I–III, see O. I. Zav’yalov and A. M. Malokostov, Theor. Math. Phys. 84, 706–718 (1991; Zbl 0934.81029); ibid., 809–815 (1991; Zbl 1019.81506); ibid., 952–960 (1990; Zbl 1020.81727).]
On the diagram level, we describe the mechanism of compensations in Ward identities for non-Abelian gauge theories. The description of this mechanism allows one to analyze the non-Lagrangian regularizations. We propose a regularization (different from dimensional regularization and the higher covariant derivative method) from the class of “universal” regularizations. Our regularization keeps the gauge invariance of the Yang-Mills theory in the one-loop approximation, and in two-loop approximation at least for the polarization operator.

81T15 Perturbative methods of renormalization applied to problems in quantum field theory
81T13 Yang-Mills and other gauge theories in quantum field theory
81T70 Quantization in field theory; cohomological methods
Full Text: DOI
[1] O. I. Zavialov and A. M. Malokostov,Teor. Mat. Fiz.,84, 46–63 (1990).
[2] O. I. Zavialov and A. M. Malokostov,Teor. Mat. Fiz.,84, 195–204 (1990).
[3] O. I. Zavialov,Renormalized Quantum Field Theory, Kluwer Academic Publishers, Dordrecht, Holland (1990).
[4] O. I. Zavialov and A. M. Malokostov,Teor. Mat. Fiz.,84, 398–410 (1990).
[5] G. ’t Hooft,Nucl. Phys. B,33, 173 (1971).
[6] O. I. Zavialov and V. A. Smirnov,Teor. Mat. Fiz.,96, 288–301 (1993); O. I. Zavialov,Teor. Mat. Fiz.,98, 536–543 (1994); O. I. Zavialov, G. A. Kravtsova, and A. M. Malokostov,Teor. Mat. Fiz.,107, 64–74 (1996).
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