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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 1971
't Hooft, G.;
Renormalization of Massless Yang-Mills Fields
Nucl. Phys. B33 (1971) 173;
Abstracts
The problem of renormalization of gauge fields is studied. It is observed that the use of non-gauge invariant regulator fields is not excluded provided that in the limit of high regulator mass gauge invariance can be restored by means of a finite number of counter-terms in the Lagrangian. Massless Yang-Mills fields can be treated in this manner, and appear to be renormalizable in the usual sense.
Consistency of the method is proved for diagrams with non-overlapping divergencies by means of
gauge invariant regulators, which however, cannot be interpreted in terms of regulator fields. Assuming consistency the S-matrix is shown to be unitary in any order of the coupling constant. A restriction must be made: no local, parity-changing transformations must be contained in the underlying gauge group. The interactions must conserve parity.
Related references
See also
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