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Keywords
(10)
Boundary Condition
Chiral Perturbation Theory
Electromagnetic Form Factor
Error Reduction
Form Factor
Gauge Field
Lattice Qcd
Lattice Quantum Field Theory
Momentum Transfer
Periodic Boundary Condition
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Electromagnetic form factor of pion from N f = 2 + 1 dynamical flavor QCD
Electromagnetic form factor of pion from N f = 2 + 1 dynamical flavor QCD,10.1007/JHEP04(2011)122,Journal of High Energy Physics,Oanh Hoang Nguyen,Ken
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Electromagnetic form factor of pion from N f = 2 + 1 dynamical flavor QCD
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Oanh Hoang Nguyen
,
KenIchi Ishikawa
,
Akira Ukawa
,
Naoya Ukita
We present a calculation of the
electromagnetic form factor
of the pion in N f = 2 + 1 flavor lattice QCD. Calculations are made on the PACSCS
gauge field
configurations generated using Iwasaki gauge action and Wilsonclover quark action on a 323 × 64 lattice volume with the lattice spacing estimated as a = 0.0907(13) fm at the physical point. Measurements of the
form factor
are made using the technique of partially twisted
boundary condition
to reach small
momentum transfer
as well as
periodic boundary condition
with integer momenta. Additional improvements including random wall source techniques and a judicious choice of momenta carried by the incoming and outgoing quarks are employed for error reduction. Analyzing the
form factor
data for the pion mass at M π ≈ 411 MeV and 296 MeV, we find that the NNLO SU(2)
chiral perturbation theory
fit yields 〈r 2〉 = 0.441 ± 0.046 fm2 for the pion charge radius at the physical pion mass. Albeit the error is quite large, this is consistent with the experimental value of 0.452 ± 0.011 fm2. Below M π ≈ 300 MeV, we find that statistical fluctuations in the pion twoand threepoint functions become too large to extract statistically meaningful averages on a 323 spatial volume. We carry out a sample calculation on a 644 lattice with the quark masses close to the physical point, which suggests that
form factor
calculations at the physical point become feasible by enlarging lattice sizes to M π L ≈ 4.
Journal:
Journal of High Energy Physics  J HIGH ENERGY PHYS
, vol. 2011, no. 4, pp. 123, 2011
DOI:
10.1007/JHEP04(2011)122
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