Abstract
We compute the first five terms in the short-time heat trace asymptotics expansion for an operator of the Laplace type with transfer boundary conditions using the functorial properties of these invariants.
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Albeverio, S., Gesztesy, F., Hoegh-Krohn, R. and Holden, H.: Solvable Models in Quantum Mechanics, Springer-Verlag, New York, 1988.
Bachas, C., de Boer, J., Dijkgraaf, R. and Ooguri, H.: Permeable conformal walls and holography, J. High Energy Phys. 0206 (2002), 027 [arXiv:hep-th/0111210].
Bordag, M. and Vassilevich, D. V.: Heat kernel expansion for semitransparent boundaries, J. Phys. A 32 (1999), 8247 [arXiv:hep-th/9907076].
Bordag, M., Vassilevich, D., Falomir, H. and Santangelo, E. M.: Multiple reflection expansion and heat kernel coefficients, Phys. Rev. D 64 (2001), 045017 [arXiv:hep-th/0103037].
Branson, T. P. and Gilkey, P. B.: The asymptotics of the Laplacian on a manifold with boundary. Comm. Partial Differential Equations 15 (1990), 245.
Branson, T. P., Gilkey, P. B. and Vassilevich, D. V.: Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary, J. Math. Phys. 39 (1998), 1040 [Erratum, ibid. 41 (2000), 3301] [arXiv:hep-th/9702178].
Carslaw, H. S. and Jaeger, J. C.: Conduction of Heat in Solids, Clarendon Press, Oxford, 1986.
Gilkey, P. B. and Kirsten, K.: Heat content asymptotics with transmittal and transmission boundary conditions [arXiv:math-ph/0206022].
Gilkey, P. B., Kirsten, K. and Vassilevich, D. V.: Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario, Nuclear Phys. B 601 (2001), 125 [arXiv:hep-th/0101105].
Grosche, C.: δ'-function perturbations and Neumann boundary conditions by path integration, J. Phys. A 28 (1995), L99.
Moss, I. G.: Heat kernel expansions for distributional backgrounds, Phys. Lett. B 491 (2000), 203 [arXiv:hep-th/0007185].
Vassilevich, D. V.: Spectral geometry for strings and branes, Nuclear Phys. Proc. Suppl. 104 (2002), 208 [arXiv:hep-th/0107083].
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Gilkey, P., Kirsten, K. & Vassilevich, D. Heat Trace Asymptotics Defined by Transfer Boundary Conditions. Letters in Mathematical Physics 63, 29–37 (2003). https://doi.org/10.1023/A:1022910823496
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DOI: https://doi.org/10.1023/A:1022910823496