Summary
We satisfy the Slavnov-Taylor identities of two- and three-point functions in the same momentum configuration, in the first order, with an appropriate choice of the gauge parameter, the asymmetry parameter and the tensorial structure of the vertices. In this way one avoids theg MOM dependence on the vertex chosen to defineg MOM.
Riassunto
Si soddisfano le identità Slavnov-Taylor delle funzioni a due e tre punti nella stessa configurazione dei momenti, nel primo ordine, utilizzando il parametro di gauge, il parametro che caratterizza l'asimmetria del punto di rinormalizzazione e l'arbitrarietà della struttura tensoriale della scomposizione dei vertici. In questo modo si ottiene di svincolare la dipendenza dig MOM dal vertice scelto per definirla.
Similar content being viewed by others
References
G. 't Hooft:Nucl. Phys. B,61, 445 (1973).
S. Weinberg:Phys. Lett. B,91, 51 (1980).
See, however,W. Bernreuther andW. Wetzel:Nucl. Phys. B,197, 228 (1982).
T. Appelquist andJ. Carazzone:Phys. Rev. D,11, 2856 (1975).
H. Georgi andH. D. Politzer:Phys. Rev. D,14, 1829 (1976).
A. A. Slavnov:Sov. J. Part. Nucl.,5, 303 (1975);J. C. Taylor:Nucl. Phys. B,33, 436 (1971).
W. Celmaster andR. J. Gonsalves:Phys. Rev. Lett.,42, 1435 (1979);Phys. Rev. D,20, 1420 (1979); alsoE. Braaten andJ. P. Leiveille:Phys. Rev. D,24, 1369 (1981).
P. Pascual andR. Tarrach:Nucl. Phys. B,174, 123 (1980);181, 546 (1981).
O. Natchtmam andW. Wetzel:Nucl. Phys. B,146, 273 (1978);H. D. Politzer:Nucl. Phys. B,146, 283 (1978).
A. de Rujula andH. Georgi:Phys. Rev. D.,13, 1296 (1976).
R. Coquereaux:Phys. Rev. D,23, 1365 (1981).
B. J. Edwards andT. D. Gottschalk:Nucl. Phys. B,196, 328 (1982).
J. S. Ball andT. W. Chiu:Phys. Rev. D,22, 2550 (1980).
See alsoA. Dhar andV. Gupta:Pramāna,17, 469 (1981);Phys. Lett. B,101, 432 (1981).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vendramin, I. QCD renormalization in an asymmetric point with massive quarks and Slavnov-Taylor identities. Nuov Cim A 87, 295–308 (1985). https://doi.org/10.1007/BF02902223
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02902223