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SUMMARY:Is the Feynman Path Integral Complex Enough? - Kemal Gokce Basar (
 University of North Carolina)
DTSTART:20221216T143000Z
DTEND:20221216T153000Z
UID:TALK193310@talks.cam.ac.uk
DESCRIPTION:\nMonte-Carlo evaluation of path integrals is a ubiquitous&nbs
 p\;method to study a wide range of strongly interacting systems\,&nbsp\;fr
 om nuclear to condensed matter physics. For many interesting problems\, su
 ch as finite density systems and real-time evolution\, however\, its appli
 cability is severely limited due to the infamous sign problem which&nbsp\;
 arises when the path integral measure has a fast oscillating&nbsp\;phase. 
 In this talk\, I will discuss a class of approaches to mitigate the sign p
 roblem based on the application of Picard-Leschetz&nbsp\;theory to path in
 tegrals. These approaches&nbsp\;stem from the idea of deforming the domain
  of path integration in complex field space in a way that preserves the pa
 th integral&nbsp\;but ameliorates the phase oscillations. I will discuss v
 arious implementations of this idea in Monte-Carlo algorithms&nbsp\;with s
 everal examples.&nbsp\;\n
LOCATION:Seminar Room 1\, Newton Institute
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