Zeta-Function and analytic renormalization
Madore, J.
Annales de l'I.H.P. Physique théorique, Tome 33 (1980), p. 249-256 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1980-01-01
@article{AIHPA_1980__32_3_249_0,
     author = {Madore, J.},
     title = {Zeta-Function and analytic renormalization},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {33},
     year = {1980},
     pages = {249-256},
     mrnumber = {579962},
     zbl = {0434.58018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1980__32_3_249_0}
}

Madore, J. Zeta-Function and analytic renormalization. Annales de l'I.H.P. Physique théorique, Tome 33 (1980) pp. 249-256. http://gdmltest.u-ga.fr/item/AIHPA_1980__32_3_249_0/

[1] M. Atiyah, R. Bott, V.K. Patodi, Inventiones Math., t. 19, 1973, p. 279. | MR 650828 | Zbl 0257.58008

[2] P.B. Gilkey, The Index Theorem and the Heat Equation. Math. Lecture Series, t. 4, 1974. | MR 458504 | Zbl 0287.58006

[3] For a description of the classical ζ-and θ-functions see. for example, G. Sansone, J. Gerretsen, Lectures on the Theorey of Functions of a Complex Variable, P. Noordhoff-Groningen, 1960. | Zbl 0093.26803

[4] J.S. Dowker, R. Critchley, Phys. Rev., t. D 13, 1976, p. 3224; t. D 15, 1977, p. 1484. | MR 449343

[5] S.W. Hawking, Comm. math. Phys., t. 55, 1977, p. 133. | MR 524257 | Zbl 0407.58024

[6] A.S. Schwarz, Letters in Math. Physics, t. 2, 1978, p. 247. | Zbl 0383.70017

[7] W. Heisenberg, H. Euler, Zeit. für Physik, t. 98, 1936, p. 714. | JFM 62.1002.03 | Zbl 0013.18503

[8] E.R. Speer, Dimensional and Analytic Renormalization, Ettore Majorana Summer School, Erice, August 1975, G. Velo, A. S. Wightman Editors, and references therein. | MR 522287

[9] S. Coleman, E. Weinberg, Phys. Rev., t. D 7, 1973, p. 1888.

[10] J. Schwinger, Phys. Rev., t. 82, 1951, p. 664. | Zbl 0043.42201

[11] See, for example, E.S. Abers, B.W. Lee, Physics Reports, t. 9 C, 1973, Number 1.

[12] E. Brezin, C. Itzykson, Phys. Rev., t. D 2, 1970, p. 1191.

[13] R.T. Seeley, Amer. Math. Soc. Proc. Symp. Pure Math., t. 10, 1967, p. 288. | MR 237943 | Zbl 0159.15504