---
res:
bibo_abstract:
- "In this proceeding we consider a translation invariant Nelson type model in\r\ntwo
spatial dimensions modeling a scalar relativistic particle in interaction\r\nwith
a massive radiation field. As is well-known, the corresponding Hamiltonian\r\ncan
be defined with the help of an energy renormalization. First, we review a\r\nFeynman-Kac
formula for the semigroup generated by this Hamiltonian proven by\r\nthe authors
in a recent preprint (where several matter particles and exterior\r\npotentials
are treated as well). After that, we employ a few technical key\r\nrelations and
estimates obtained in our preprint to present an otherwise\r\nself-contained derivation
of new Feynman-Kac formulas for the fiber\r\nHamiltonians attached to fixed total
momenta of the translation invariant\r\nsystem. We conclude by inferring an alternative
derivation of the Feynman-Kac\r\nformula for the full translation invariant Hamiltonian.@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Benjamin
foaf_name: Hinrichs, Benjamin
foaf_surname: Hinrichs
foaf_workInfoHomepage: http://www.librecat.org/personId=99427
orcid: 0000-0001-9074-1205
- foaf_Person:
foaf_givenName: Oliver
foaf_name: Matte, Oliver
foaf_surname: Matte
dct_date: 2023^xs_gYear
dct_language: eng
dct_title: Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model
in two spatial dimensions@
...