Translation invariant models in QFT without ultraviolet cutoffs
Mathematical Physics
2015-06-25 v1 math.MP
Abstract
The translation invariant model in quantum field theory is considered by functional integrations. Ultraviolet renormalization of the translation invariant Nelson model with a fixed total momentum is proven by functional integrations. As a corollary it can be shown that the Nelson Hamiltonian with zero total momentum has a ground state for arbitrary values of coupling constants in two dimension. Furthermore the ultraviolet renormalization of the polaron model is also studied.
Cite
@article{arxiv.1506.07514,
title = {Translation invariant models in QFT without ultraviolet cutoffs},
author = {Fumio Hiroshima},
journal= {arXiv preprint arXiv:1506.07514},
year = {2015}
}
Comments
This is a proceeding of 51 Winter School of Theoretical Physics Ladek Zdroj, Poland, 9 - 14 February 2015