Chronology of Milestone Events in Particle Physics - ’T HOOFT 1972B
Chronology of Milestone Events in Particle Physics

  Nobel prize for Gerardus 't Hooft and Martinus J.C. Veltman awarded in 1999 "for elucidating the quantum structure of electroweak interactions in physics''

’T HOOFT 1972B

't Hooft, G.; Veltman, M.;
Combinatorics of Gauge Fields
Nucl. Phys. B50 (1972) 318;

Abstracts
Gauge field theories can be described by many different sets of Feynman rules, depending on the particular gauge chosen. In this paper a prescription for obtaining the Feynman rules in different gauges is given. A rigorous combinatorial proof of the independence of the S-matrix of the chosen gauge is presented. The proof is general and applies to Yang-Mills type theories as well as to gravitation. For renormalizable Yang-Mills type theories it is shown that the renormalized theory is invariant with respect to renormalized gauge transformations.

Related references
See also
C. N. Yang and R. L. Mills, Phys. Rev. 96 (1954) 191;
M. Veltman, Nucl. Phys. B21 (1970) 288;
G. 't Hooft, Nucl. Phys. B35 (1971) 167;
P. W. Higgs, Phys. Lett. 12 (1964) 132;
P. W. Higgs, Phys. Rev. Lett. 13 (1964) 508;
P. W. Higgs, Phys. Rev. 145 (1966) 1156;
F. Englert and R. Brout, Phys. Rev. Lett. 13 (1964) 321;
G. S. Guralnik, C. R. Hagen, and T. W. B. Kibble, Phys. Rev. Lett. 13 (1964) 585;
T. W. B. Kibble, Phys. Rev. 155 (1967) 627;
B. W. Lee, Phys. Rev. D5 (1972) 823;
B. W. Lee and J. Zinn Justin, Phys. Rev. D5 (1972) 3121;
B. W. Lee and J. Zinn Justin, Phys. Rev. D5 (1972) 3137;
B. W. Lee and J. Zinn Justin, Phys. Rev. D5 (1972) 3155;
S. Weinberg, Phys. Rev. Lett. 27 (1971) 1688;
L. D. Faddeev and V. N. Popov, Phys. Lett. 25B (1967) 29;
G. 't Hooft, M. Veltman, Nucl. Phys. B44 (1972) 189;
I. Bialynicki-Birula, Phys. Rev. D2 (1970) 2877;
G. 't Hooft, Nucl. Phys. B33 (1971) 173;

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Universal regularization and renormalization method for gauge fields theories. II.
    
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