- 09-65 Christian G rard, Fumio Hiroshima, Annalisa Panati and Akito Suzuki
- Infrared divergence of a scalar quantum field on a pseudo Riemann manifold
Apr 23, 09
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Abstract. A scalar quantum field model
defined on a pseudo Riemann manifold
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.
the infrared divergence
of the expectation values of the number of bosons in the ground state is discussed.