Mass renormalization in non-relativistic quantum electrodynamics with spin 1/2

F. Hiroshima, K. R. Ito

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)405-454
Number of pages50
JournalReviews in Mathematical Physics
Volume19
Issue number4
DOIs
Publication statusPublished - May 2007

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint

Dive into the research topics of 'Mass renormalization in non-relativistic quantum electrodynamics with spin 1/2'. Together they form a unique fingerprint.

Cite this