Pion mass difference from vacuum polarization

Details Pion mass difference from vacuum polarization Pion mass difference from vacuum polarization

2007-10-03

arxiv.org/abs/0710.0691v1

PoSLAT2007:134,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 2 figures, talk (Hadron spectroscopy) presented at the XXV International Symposium on Lattice Field Theory, July 30 -

Scientific paper

We calculate the electromagnetic contribution to the pion mass difference, $\Delta m^2_\pi=m^2_{\pi^+}-m^2_{\pi^0}$, in the chiral limit through the $VV-AA$ type vacuum polarization using Das-Guralnik-Mathur-Low-Young (DGMLY) sum rule. The calculation is made with two-flavors of dynamical overlap fermions on a $16^3\times 32$ lattice at $a\sim$0.12 fm. The exact chiral symmetry of the overlap fermion is essential to control the systematic error in the difference $VV-AA$. We obtain $\Delta m_\pi^2 = 1024(100) {\rm MeV^2}$ combining the lattice data with the perturbative contribution in the high momentum region evaluated by the operator product expansion. By analyzing the momentum dependence of the vacuum polarization, we also obtain pion decay constant $f_\pi$ and the low-energy constants $L_{10}^r$ in the chiral limit.

Affiliated with

Also associated with

No associations

Rating

Pion mass difference from vacuum polarization 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 Pion mass difference from vacuum polarization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pion mass difference from vacuum polarization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285348