428 citations
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Showing 2004 · math-phShow all
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math-ph2004★ 4 cited
Regularities of ground states of quantum field models
Asao Arai, Masao Hirokawa, Fumio Hiroshima
Regularities and higher order regularities of ground states of quantum field models are investigated through the fact that asymptotic annihilation operators vanish ground states. M…
math-ph2004
On irreducibility of the energy representation of the gauge group and the white noise distribution theory
Yoshihito Shimada
We consider the energy representation for the gauge group. The gauge group is the set of (C^{\infty})-mappings from a compact Riemannian manifold to a semi-simple compact Lie group…
math-ph2004
Multiplicity of ground states in quantum field models: applications of asymptotic fields
Fumio Hiroshima
The ground states of an abstract model in quantum field theory are investigated. By means of the asymptotic field theory, we give a necessary and sufficient condition for that the…