TY - JOUR
T1 - Ground state for point particles interacting through a massless scalar Bose field
AU - Hirokawa, Masao
AU - Hiroshima, Fumio
AU - Spohn, Herbert
N1 - Funding Information:
M. Hirokawa and F. Hiroshima thank for the hospitality at Technische Universität München. M. Hirokawa is indebted to his colleagues of the seminar on constructive field theory and renormalization group organized by H. Ezawa at Gakushuin University. He also thanks Griesemer for explaining him that Lemma 5.1 implies Lemma 5.2(ii), and as a consequence Proposition 5.3(ii), (iii), and exponential decay in Proposition 5.4. His work in Japan is supported by JSPS, Grant-in-Aid for Scientific Research (C) 13640215, and his work in Germany by DAAD. F. Hiroshima’s work is supported by the Graduiertenkolleg ‘‘Mathematik in ihrer Wechselbeziehung zur Physik’’ of the LMU Munich and by JSPS, Grant-in-Aid 13740106 for Encouragement of Young Scientists.
PY - 2005/3/1
Y1 - 2005/3/1
N2 - We consider a massless scalar Bose field interacting with two particles, one of them infinitely heavy. Neither an infrared nor an ultraviolet cutoff is imposed. In case the charge of the particles is of the same sign and sufficiently small, we prove the existence of a ground state.
AB - We consider a massless scalar Bose field interacting with two particles, one of them infinitely heavy. Neither an infrared nor an ultraviolet cutoff is imposed. In case the charge of the particles is of the same sign and sufficiently small, we prove the existence of a ground state.
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U2 - 10.1016/j.aim.2004.03.011
DO - 10.1016/j.aim.2004.03.011
M3 - Article
AN - SCOPUS:6944235784
SN - 0001-8708
VL - 191
SP - 339
EP - 392
JO - Advances in Mathematics
JF - Advances in Mathematics
IS - 2
ER -