## Abstract

The effective mass m_{eff} of the Pauli-Fierz Hamiltonian with ultraviolet cutoff Λ and the bare mass m in non-relativistic quantum electrodynamics (QED) with spin 1/2 is investigated. Analytic properties of m_{eff} in coupling constant e are shown. Let us set m_{eff}/m = 1 +a_{1}(Λ/m)e^{2} + a_{2}(Λ/m)e ^{4} + script O sign (e^{6}). The explicit form of constant a_{2}(Λ/m) depending on Λ/m is given. It is shown that the spin interaction enhances the effective mass and that there exist strictly positive constants c_{1} and c_{2} such that equation presented In particular though it is known that a_{1}(Λ/m) diverge log(Λ/m) as Λ → ∞, a_{2}2(Λ/m) does not diverge as ±[log(Λ/m)]^{2} but -(Λ/m)^{2}.

Original language | English |
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Pages (from-to) | 405-454 |

Number of pages | 50 |

Journal | Reviews in Mathematical Physics |

Volume | 19 |

Issue number | 4 |

DOIs | |

Publication status | Published - May 2007 |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics