The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field

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dc.creatorLorinczi, Jozsef
dc.creatorMinlos, Robert A.
dc.creatorSpohn, Herbert
dc.date2000-11-27
dc.date.accessioned2026-07-07T04:28:09Z
dc.date.available2026-07-07T04:28:09Z
dc.descriptionWe prove that Nelson's massless scalar field model is infrared divergent in three dimensions. In particular, the Nelson Hamiltonian and the Hamiltonian obtained from Euclidean quantization are not unitarily equivalent. In contrast, for dimensions higher than three the Nelson Hamiltonian has a unique ground state in Fock space and the two Hamiltonians are unitarily equivalent. We also show that the Euclidean Hamiltonian has no spectral gap.
dc.identifierhttps://arxiv.org/abs/math-ph/0011043
dc.identifierhttp://arxiv.org/abs/math-ph/0011043
dc.identifierAnnales Henri Poincare 3 (2002) 269-295
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56678
dc.subjectMathematical Physics
dc.subjectGeometric Topology
dc.subjectProbability
dc.titleThe infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field
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