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SUMMARY:Vacuum realization of symmetries from first principles: The Probab
ility Distribution Function formalism
DTSTART;VALUE=DATE-TIME:20091022T150000Z
DTEND;VALUE=DATE-TIME:20091022T160000Z
DTSTAMP;VALUE=DATE-TIME:20191118T063643Z
UID:indico-event-1833@agenda.infn.it
DESCRIPTION:The Probability Distribution Function (p.d.f.) formalism can
be used to cast some light on the old aim of understanding the realizati
on of symmetries of QCD from first principles. Applying the p.d.f. to the
Wilson regularization\, we can explore certain\, somewhat overlooked\, pro
perties of the Aoki phase. In fact\, the p.d.f. states that\, either the f
ermionic bilinear iy¯ g5y can take non-zero values in the Aoki phase\, ex
tending thus the current picture of the phase diagram\, or there exists an
infinite tower of sum-rules the eigenvalues of the Dirac-Wilson operator
must comply with. So far\, no theoretical argument is strong enough to pr
ove one of these scenarios to be right\, thus a dynamical fermion simulati
on is mandatory at this point.\n\nBut the most interesting conclusions ap
pear when we apply the p.d.f. formalism to the Ginsparg-Wilson regularizat
ion. There\, we see how parity and vector-like symmetries must be realized
for a non-vanishing fermion mass.\n\nhttps://agenda.infn.it/event/1833/
LOCATION:LNF Auletta A-1
URL:https://agenda.infn.it/event/1833/
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