@article{331f97fc16b748bca779924f98f7b156,
title = "Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach",
abstract = "The Nelson model describes a quantum particle coupled to a scalar Bose field. We study properties of its ground state through functional integration techniques in case the particle is confined by an external potential. We obtain bounds on the average and the variance of the Bose field both in position and momentum space, on the distribution of the number of bosons, and on the position space distribution of the particle.",
author = "Volker Betz and Fumio Hiroshima and J{\'o}zsef Lorinczi and Minlos, {Robert A.} and Herbert Spohn",
note = "Funding Information: The author, R. A. Minlos, thanks Zentrum Mathematik of Technische Univer-sit{\"a}t M{\"u}nchen for warm hospitality and nancial support. He also thanks the Russian Fundamental Research Foundation (grants 99-01-00284 and 00-01-00271), CRDF (grant NRM 1-2085) and DFG (grant 436 RUS 113/485/5) for nancial support. The author, J. Lo}rinczi thanks Schwerpunktprogramm \Interagierende stochastische Systeme von hoher Komplexit{\"a}t{"} (grant SP 181/12). The author, F. Hiroshima thanks Technische Universit{\"a}t M{\"u}nchen for kind hospitality. This work was partially supported by the Graduiertenkolleg \Mathematik in ihrer Wechselbeziehung zur Physik{"} of the LMU Munich and Grant-in-Aid 13740106 for Encouragement of Young Scientists from the Japanese Ministry of Education, Science, Sports and Culture.",
year = "2002",
doi = "10.1142/S0129055X02001119",
language = "English",
volume = "14",
pages = "173--198",
journal = "Reviews in Mathematical Physics",
issn = "0129-055X",
publisher = "World Scientific",
number = "2",
}