Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary

Journal of Mathematical Physics

Volumn 39, Issue 2, 1998, Pages 1040-1049

  Branson, Thomas P ^a   Gilkey, Peter B ^b   Vassilevich, Dmitri V ^c  

^a UNIVERSITY OF IOWA   (United States)

^b UNIVERSITY OF OREGON   (United States)

^c ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032329975     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532369     Document Type: Article

References (8)

1. P. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, 2nd ed. (CRC, Boca Raton, FL, 1994) (ISBN 0-8493-7874-4).
2. N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge U. P., Cambridge, 1982).
3. K. Fujikawa, "Path integral measure for gauge-invariant fermion theories," Phys. Rev. Lett. 42, 1195-1198 (1979).
4. T. Branson and P. Gilkey, "The asymptotics of the Laplacian on a manifold with boundary," Comm. PDE 15, 245-272 (1990).
5. T. Branson, P. Gilkey, and D. V. Vassilevich, "The asymptotics of the Laplacian on a manifold with boundary II," Boll. Unione Mate. Ital. 7, Suppl. fasc. 2 39-67 (1997).
6. P. Gilkey, "The spectral geometry of a Riemannian manifold," J. Diff. Geom. 10, 601-618 (1975).
7. T. Branson and P. Gilkey, "Residues of the eta function for an operator of Dirac type with local boundary conditions," Diff. Geom. Appl. 2, 249-269 (1992).
8. T. Branson and P. Gilkey, "Residues of the eta function for an operator of Dirac type," J. Funct. Anal. 108, 47-87 (1992).