Asymptotic Heat Kernels in Quantum Field Theory

Details Asymptotic Heat Kernels in Quantum Field Theory Asymptotic Heat Kernels in Quantum Field Theory

1995-06-23

arxiv.org/abs/gr-qc/9506048v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, plain-tex, appearing in Problems on High Energy Physics and Field Theory, Proceedings of the XVII Workshop, Dedicate

Scientific paper

Asymptotic expansions were first introduced by Henri Poincare in 1886. This paper describes their application to the semi-classical evaluation of amplitudes in quantum field theory with boundaries. By using zeta-function regularization, the conformal anomaly for a massless spin-${1\over 2}$ field in flat Euclidean backgrounds with boundary is obtained on imposing locally supersymmetric boundary conditions. The quantization program for gauge fields and gravitation in the presence of boundaries is then introduced by focusing on conformal anomalies for higher-spin fields. The conditions under which the covariant Schwinger-DeWitt and the non-covariant, mode-by-mode analysis of quantum amplitudes agree are described.

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