Geodesic
Compact expression for a bilinear combination of Dirac spinors in terms of world tensors
Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 3, pp. 384-390 
R. N. Rogalev. Compact expression for a bilinear combination of Dirac spinors in terms of world tensors. Teoretičeskaâ i matematičeskaâ fizika, Tome 101 (1994) no. 3, pp. 384-390. http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a6/
@article{TMF_1994_101_3_a6,
     author = {R. N. Rogalev},
     title = {Compact expression for a~bilinear combination of {Dirac} spinors in terms of world tensors},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {384--390},
     year = {1994},
     volume = {101},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a6/}
}
TY  - JOUR
AU  - R. N. Rogalev
TI  - Compact expression for a bilinear combination of Dirac spinors in terms of world tensors
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 384
EP  - 390
VL  - 101
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a6/
LA  - ru
ID  - TMF_1994_101_3_a6
ER  - 
%0 Journal Article
%A R. N. Rogalev
%T Compact expression for a bilinear combination of Dirac spinors in terms of world tensors
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 384-390
%V 101
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1994_101_3_a6/
%G ru
%F TMF_1994_101_3_a6

Voir la notice de l'article provenant de la source Math-Net.Ru

A compact expression is obtained for the product of two Dirac spinors in the form of a linear combination of 16 Dirac matrices. A convenient form of expression of the results, permitting its use for analytic calculations of the amplitudes of many-particle processes, is found. It is shown that a bilinear combination of Dirac spinors can be expressed in terms of the 4-momentum vectors and spins of the corresponding particles together with a common phase factor.

[1] de Gausmaecker P. et al., Nucl. Phys. B, 206 (1982), 53 | DOI

[2] Berends F. A., Giele W., Nucl. Phys. B, 294 (1987), 700 | DOI

[3] Berends F. A. et al., Nucl. Phys. B, 357 (1991), 32 | DOI

[4] Berken Dzh., Drell S., Relyativistskaya kvantovaya teoriya, Nauka, M., 1978 | MR

[5] Itsikson K., Zyuber Zh. B., Kvantovaya teoriya polya, Mir, M., 1984 | MR

[6] Schelkachev A. V., TMF, 96 (1993), 3

[7] Kartan E., Teoriya spinorov, Gosudarstvennoe izdatelstvo inostrannoi literatury, M., 1947

[8] Penrouz R., Rindler V., Spinory i prostranstvo-vremya, Mir, M., 1987 | MR

[9] Ilin V. A. i dr., Trudy III shkoly molodykh uchenykh “Kvantoval teoriya polya i fizika vysokikh energii”, MGU, 1988, 171

[10] Bondarev A. L., TMF, 96 (1993), 96

[11] Yehudai E., Preprint FERMILAB-PUB-92/526-T, 1992 | Zbl