Mass renormalization in nonrelativistic QED

Details Mass renormalization in nonrelativistic QED Mass renormalization in nonrelativistic QED

2003-10-22

arxiv.org/abs/math-ph/0310043v3

J.Math.Phys. 46 (2005) 042302

Physics

Mathematical Physics

Scientific paper

In nonrelativistic QED the charge of an electron equals its bare value, whereas the self-energy and the mass have to be renormalized. In our contribution we study perturbative mass renormalization, including second order in the fine structure constant $\alpha$, in the case of a single, spinless electron. As well known, if $m$ denotes the bare mass and $\mass$ the mass computed from the theory, to order $\alpha$ one has $$\frac{\mass}{m} =1+\frac{8\alpha}{3\pi} \log(1+\half (\Lambda/m))+O(\alpha^2)$$ which suggests that $\mass/m=(\Lambda/m)^{8\alpha/3\pi}$ for small $\alpha$. If correct, in order $\alpha^2$ the leading term should be $\displaystyle \half ((8\alpha/3\pi)\log(\Lambda/m))^2$. To check this point we expand $\mass/m$ to order $\alpha^2$. The result is $\sqrt{\Lambda/m}$ as leading term, suggesting a more complicated dependence of $m_{\mathrm{eff}}$ on $m$.

Affiliated with

Also associated with

No associations

Rating

Mass renormalization in nonrelativistic QED does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mass renormalization in nonrelativistic QED, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mass renormalization in nonrelativistic QED will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-665609