The pion Form Factor from Lattice QCD
van der Heide, J.
Publication date
2004
Link to publication
Citation for published version (APA):
van der Heide, J. (2004). The pion Form Factor from Lattice QCD.
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Additional figures and tables
A . l . Zero temperature
In this appendix we have collected additional tables and figures with zero temperature results not used in the main text.
Table A . l : Masses and energies from a single state fit to the two-point function data for T = 0. K 0.13230 0.13330 0.13380 0.13430 0.13480 K 0.13230 0.13330 0.13380 0.13430 0.13480 P2 E(P2) 0.518(2) 0.416(2) 0.358(1) 0.288(3) 0.193(6) P2 = E(p2) 0.640(6) 0.568(7) 0.520(8) 0.493(17) 0.445(25) = 0.0 Q.o.f. 0.007 0.04 0.09 0.17 0.12 = 0.137 Q.o.f. 0.10 0.18 0.23 0.29 0.38 f.r. 13 15 17 17 15 f.r. 15 19 15 21 23 P2 -E(P2) 0.581(4) 0.491(6) 0.445(3) 0.398(6) 0.335(80) P2 = E(p2) 0.700(14) 0.597(25) 0.532(65) = 0.069 Q.o.f. 0.03 0.10 0.03 0.28 0.03 = 0.206 Q.o.f. 0.04 0.30 0.34 f.r. 15 15 15 21 11 f.r. 13 19 15 0.13230 0.13380 0.13430 P2 = 0.756(25) 0.675(21) 0.579(57) = 0.274 0.12 0.30 0.20 13 21 19 „,2 P = 0.815(17) 0.751(35) 0.720(62) = 0.343 0.09 0.42 0.11 21 21 21
ST
Improved current '—'—' Conserved current •—•*---Renormalised local current >•—•*
Figure A . l : Form factors extracted from different currents as a function of Q2 for
mn = 0.516. Solid curve: VMD prediction with my = mp taken from [65]
ST
Improved current '—i-Conserved current ••---x--Renormalised local current *••••*•
Figure A.2: Form factors extracted from different currents as a function of Q2 for
2
0.2 h
0
Improved current Conserved current Renormalised local current
TOjr = 0.287
0.1 0.2 0.3
Q2
0.4 0.5 0.6
Figure A.3: Form factors extracted from different currents as a function of Q2 for
m-n = 0.287. Solid curve: VMD prediction with my = mp taken from [65]
A.2. Finite temperature
This appendix contains additional tables and figures for finite temperature.
Table A.2: Masses as determined from a single state fit to the two-point function data for T = 0.93 Tr. p i = 0.0 K Esc{p\) Q-o.f. f.r. 0.13230 0.511(3) 0.10 13 0.13330 0.410(4) 0.11 13 0.13380 0.352(5) 0.12 13 0.13430 0.281(6) 0.39 13 0.13480 0.193(6) 0.12 15
ST
o
0.2p i
0.039 pz± = 0.077 p\ = 0.193 0.4 Q2 0.6 0.8Figure A . 4 : Form factor for different pion momenta, m , = 0.511.
ST
Figure A.6: Form factor for different pion momenta, m^ = 0.353. fen 0.8 -0.6 0.4 -0.2 p]_ = 0.039 -p2± = 0.077 -0 -0.1 -0.2 -0.3 Q2
1 0.8 0.6 0.4 0.2
i
-mn = 0.511 i i © i T n 0 3 T rii i • i l — v. JÓ ±ci P\ 'T = 0.93 T
c,p
h~
T = 0 • » =
-1 0 o -1 + t 1 J + 0.2 0.4 Q2 0.6 0.8Figure A . 8 : Form factor as a function of Q2 for different T and external momenta.
ST
1 O.b 0.6 0.4 0.2 T 1f
-m-n 1 - i © i = 0.410 T n <~P T « , i • i — u.yo JC, p\ T = 0.93 Tc,ph T = 0 >••••-• t 0Ï 1
J j 1 1 -- J j -0.2 0.4 Q2 0.6 0.81 r 0.8 0.6 0.4 h 0.2 0
i
m-v = 0.283 T = 0.93 Tc, p , T = 0.93 rC ) ph T = 0 0.2 0.4 Q2 0.6 0.8Figure A. 10: Form factor as a function of Q2 for different T and external momenta.
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