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SUMMARY:Spectral functions for hot pions below Tc
DTSTART;VALUE=DATE-TIME:20191105T042000Z
DTEND;VALUE=DATE-TIME:20191105T044000Z
DTSTAMP;VALUE=DATE-TIME:20200226T050140Z
UID:indico-contribution-3535623@indico.cern.ch
DESCRIPTION:Speakers: Sourendu Gupta (TIFR)\nLong-distance properties of Q
CD are non-perturbative in nature. Lattice computations provide a reliable
tool for extracting such information for correlation functions in the spa
ce-like domain of momenta\, for example for screening phenomena. However\,
the approach to equilibrium of QCD matter requires knowledge of correlati
on functions in the time-like domain.\n\nAnalytic continuation of correlat
ion functions from space-like to time-like momenta require knowledge of a
spectral function. There are few known constraints on the nature of spectr
al functions at finite temperature. Computations in the weak-coupling theo
ry\, provide constraints at high momenta. Analytic continuations of lattic
e data otherwise have used ``zero-knowledge schemes'' such as MEM. However
\, any further information on the nature of spectral functions would help
to guard against unknown theoretical biases.\n\nHere we apply an effective
field theory (EFT) which was developed recently to examine correlators of
axial currents. This is a generalization of the Nambu-Jona-Lasinio model
applied to finite temperatures. This was parametrized to describe lattice
data obtained with two flavours of light dynamical Wilson quarks.\n\nWe us
e this effective field theory to examine the analytic continuation of corr
elation functions of composite pion operators below T_c from the space-lik
e to the time-like domain. Several interesting phenomena are observed: the
analytic continuation of the pion mass and decay constant are non-trivial
. We discuss the complex behaviour of the corresponding spectral function
.\n\nhttps://indico.cern.ch/event/792436/contributions/3535623/
LOCATION:Wanda Reign Wuhan Hotel HongKong Room
URL:https://indico.cern.ch/event/792436/contributions/3535623/
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