The effective mass meff 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 meff in coupling constant e are shown. Let us set meff/m = 1 +a1(Λ/m)e2 + a2(Λ/m)e 4 + script O sign (e6). The explicit form of constant a2(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 c1 and c2 such that equation presented In particular though it is known that a1(Λ/m) diverge log(Λ/m) as Λ → ∞, a22(Λ/m) does not diverge as ±[log(Λ/m)]2 but -(Λ/m)2.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics