1995/06/23 by Giampiero Esposito, Esposito, Giampiero
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9506048
15 pages, plain-tex, appearing in Problems on High Energy Physics and Field Theory, Proceedings of the XVII Workshop, Dedicated to the 140th Anniversary of Henri Poincare, pp. 127-134 (Protvino: IHEP Pub. 1995)
arxiv created 1995/06/23 · openalex publication_date 1995/06/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.