Singularities of Green functions of the products of the Laplace type operators

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 403, Issue 3-4, 1997, Pages 280-284

  Avramidi, I G ^a,b  

^a UNIVERSITY OF GREIFSWALD   (Germany)

^b SOUTHERN FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039375260     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(97)00536-4     Document Type: Article

References (13)

1. J. Hadamard, Lectures on Cauchy's Problem, in: Linear Partial Differential Equations (Yale U.P., New Haven, 1923).
2. B.S. De Witt, Dynamical Theory of Groups and Fields, (Gordon and Breach, New York, 1965).
3. P.B. Gilkey, Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem (Publish or Perish, Wilmington, DE, USA, 1984).
4. A.O. Barvinsky and G.A. Vilkovisky, Phys. Rep. C 119 (1985) 1.
5. N.N. Bogolyubov and D.V. Shirkov, Introduction to the theory of quantized fields (Nauka, Moscow, 1976).
6. I.G. Avramidi, Covariant Methods for the Calculation of the Effective Action in Quantum Field Theory and Investigation of Higher-Derivative Quantum Gravity, PhD thesis, Moscow State University (1986), UDK 530.12:531.51, [in Russian]; Transl.: hep-th/9510140.
7. I.G. Avramidi, Nucl. Phys. B 355 (1991) 712.
8. S. Minakshisundaram, J. Indian Math. Soc. 17 (1953) 158.
9. R.T. Seeley, Proc. Symp. Pure Math. 10 (1967) 288.
10. P.B. Gilkey, J. Diff, Geom. 10 (1975) 601.
11. I.G. Avramidi, Phys. Lett. B 238 (1990) 92.
12. P. Amsterdamski, A.L. Berkin and D.J. O'Connor, Class. Quantum Grav. 6 (1989) 1981.
13. I.G. Avramidi and R. Schimming, Algorithms for the calculation of the heat kernel coefficients, in: Quantum Field Theory under the Influence of External Conditions', ed. M. Bordag, Teubner-Texte zur Physik, Band 30 (Teubner, Stuttgart, 1996) p. 150.