slides PDF - Theory Group
slides PDF - Theory Group
slides PDF - Theory Group
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Twisted mass dynamical fermions<br />
Consider two degenerate flavors of quarks: Action is<br />
$<br />
( )<br />
S F = a 4 !(x) D w [U]+ m 0 + iµ" 5 # 3<br />
x<br />
!(x)<br />
Wilson Dirac operator untwisted mass<br />
Advantages: - Automatic O(a) improvement (at maximal twist)<br />
- Only one parameter to tune (zero PCAC mass at smallest µ)<br />
- No additional operator improvement<br />
Disadvantages: - explicit chiral symmetry breaking (like in all Wilson)<br />
C. Alexandrou, University of Cyprus PSI, December 18th 2007<br />
Twisted mass µ<br />
τ 3 acts in flavor space<br />
- explicit breaking of flavour symmetry appears only at O(a 2 )<br />
in practice only affects π 0<br />
Physics results reported for ~300 MeV pions on spatial size of about 2.7 fm with a < 0.1fm
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