Geodesic
Anomalies and elliptic operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 2, pp. 190-204 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The coefficients of the asymptotic expansion of $\operatorname{Sp}\exp(-tA)$ in the limit $t\to0$ for the operators of quantum field theory are calculated and it is shown how the obtained results can be applied to the calculation of the axial and conformal anomalies, charge renormalization in gauge theories, and to the investigation of two-dimensional electrodynamics. 
@article{TMF_1979_41_2_a3,
     author = {V. N. Romanov and A. S. Schwarz},
     title = {Anomalies and elliptic operators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {190--204},
     year = {1979},
     volume = {41},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_41_2_a3/}
}
TY  - JOUR
AU  - V. N. Romanov
AU  - A. S. Schwarz
TI  - Anomalies and elliptic operators
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1979
SP  - 190
EP  - 204
VL  - 41
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1979_41_2_a3/
LA  - ru
ID  - TMF_1979_41_2_a3
ER  - 
%0 Journal Article
%A V. N. Romanov
%A A. S. Schwarz
%T Anomalies and elliptic operators
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 190-204
%V 41
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1979_41_2_a3/
%G ru
%F TMF_1979_41_2_a3
V. N. Romanov; A. S. Schwarz. Anomalies and elliptic operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 2, pp. 190-204. http://geodesic.mathdoc.fr/item/TMF_1979_41_2_a3/

[1] R. T. Sili, Matematika, 12:1 (1968), 96

[2] M. Atya, R. Bott, V. Patodi, Matematika, 17:6 (1973), 3 | MR

[3] P. Greiner, Arch. Rat. Mech. Anal., 41 (1971), 163 | DOI | MR | Zbl

[4] A. S. Schwarz, Lett. Math. Phys., 2 (1978), 247 | DOI | MR | Zbl

[5] A. Z. Petrov, Novye metody v obschei teorii otnositelnosti, «Nauka», 1966 | MR

[6] A. S. Schwarz, Commun. Math. Phys., 64 (1979), 233 | DOI | MR | Zbl

[7] V. A. Fateev, A. S. Schwarz, Yu. S. Tyupkin, Preprint Phys. Inst. Acad. Sci. USSR, No 155, 1976

[8] T. Eguchi, P. Freund, Phys. Rev. Lett., 37 (1976), 1251 | DOI | MR

[9] S. L. Adler, Phys. Rev., 177 (1969), 2426 | DOI

[10] L. S. Brown, J. P. Cassidy, Phys. Rev., D15 (1977), 2810

[11] S. W. Hawking, Commun. Math. Phys., 55 (1977), 133 | DOI | MR | Zbl

[12] I. Ya. Arefeva, A. A. Slavnov, L. D. Faddeev, TMF, 21 (1974), 311

[13] D. J. Gross, F. Wilczek, Phys. Rev., D8 (1973), 3633

[14] J. Schwinger, Phys. Rev., 128 (1962), 2425 | DOI | MR | Zbl