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

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

2009-04-18

arxiv.org/abs/0904.2805v4

Physics

Mathematical Physics

The title is revised

Scientific paper

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.

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