Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold

2009/04/18 by Christian Gérard, Fumio Hiroshima, Gérard, C. +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0904.2805

openalex publication_date 2009/04/18 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

A scalar quantum field model defined on a pseudo Riemann manifold is considered. The model is unitarily transformed the one with a variable mass. By means of a Feynman-Kac-type formula, it is shown that when the variable mass is short range, the Hamiltonian has no ground state. Moreover the infrared divergence of the expectation values of the number of bosons in the ground state is discussed.

Citations

• Spectral properties of Schrödinger operators and time-decay of the wave functions

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