出版社：The Editorial Committee of the Interdisciplinary Information Sciences
摘要：A scalar quantum field model defined on a pseudo Riemannian manifold is considered. The model is unitarily transformed to 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.
关键词：Nelson model;infrared divergence;pseudo Riemannian manifold;functional integrals;ground states
