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SUMMARY:Improved real-time dynamics from imaginary frequency lattice simul
ations
DTSTART;VALUE=DATE-TIME:20170619T154000Z
DTEND;VALUE=DATE-TIME:20170619T160000Z
DTSTAMP;VALUE=DATE-TIME:20200227T050407Z
UID:indico-contribution-26@cern.ch
DESCRIPTION:Speakers: Dr. ROTHKOPF\, Alexander (Heidelberg University (ITP
))\nThe computation of real-time properties\, such as transport coefficien
ts or bound state spectra of strongly interacting quantum fields in therma
l equilibrium is a pressing matter. Since the sign problem prevents a dire
ct evaluation of these quantities\, lattice data needs to be analytically
continued from the Euclidean domain of the simulation to Minkowski time\,
in general an ill-posed inverse problem.\n\nHere we present a novel approa
ch to improve the determination of real-time information in the form of sp
ectral functions by setting up a simulation prescription in imaginary freq
uencies [1]. By carefully distinguishing between initial conditions and qu
antum dynamics one obtains access to correlation functions also outside th
e conventional Matsubara frequencies. In particular the range between w_0
and w_1=2\\piT\, which is most relevant for the inverse problem may be mor
e highly resolved. In combination with the fact that in imaginary frequenc
ies the Kernel of the inverse problem is not an exponential but only a rat
ional function we observe significant improvements in the reconstruction o
f spectral functions\, demonstrated in a simple 0+1 dimensional scalar fie
ld theory toy model.\n\n[1] J.M. Pawlowski and A. Rothkopf\, arXiv:1610.09
531\n\nhttps://makondo.ugr.es/event/0/session/91/contribution/26
LOCATION: Auditorio Manuel de Falla
URL:https://makondo.ugr.es/event/0/session/91/contribution/26
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