Simulating gauge theories on Lefschetz thimbles

Lefschetz thimbles have been proposed recently as a possible solution to the complex action problem (sign problem) in Monte Carlo simulations. Here we discuss pure abelian gauge theory with a complex coupling $\beta$ and apply the concept of Generalized Lefschetz thimbles. We propose to simulate the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Pawlowski, Jan M. (VerfasserIn) , Scherzer, Manuel (VerfasserIn) , Schmidt, Christian F. (VerfasserIn) , Ziegler, Felix P. G. (VerfasserIn) , Ziesché, Felix (VerfasserIn)
Dokumenttyp: Article (Journal) Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: 27 Jan 2020
In: Arxiv
Year: 2020, Pages: 1-7
DOI:10.48550/arXiv.2001.09767
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2001.09767
Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2001.09767
Volltext
Verfasserangaben:Jan M. Pawlowski, Manuel Scherzer, Christian Schmidt, Felix P.G. Ziegler, Felix Ziesché

MARC

LEADER 00000caa a2200000 c 4500
001 1818214636
003 DE-627
005 20230118164448.0
007 cr uuu---uuuuu
008 221007s2020 xx |||||o 00| ||eng c
024 7 |a 10.48550/arXiv.2001.09767  |2 doi 
035 |a (DE-627)1818214636 
035 |a (DE-599)KXP1818214636 
035 |a (OCoLC)1361714826 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 29  |2 sdnb 
100 1 |a Pawlowski, Jan M.  |d 1965-  |e VerfasserIn  |0 (DE-588)1047077388  |0 (DE-627)777525925  |0 (DE-576)400331381  |4 aut 
245 1 0 |a Simulating gauge theories on Lefschetz thimbles  |c Jan M. Pawlowski, Manuel Scherzer, Christian Schmidt, Felix P.G. Ziegler, Felix Ziesché 
264 1 |c 27 Jan 2020 
300 |a 7 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Gesehen am 07.10.2022 
520 |a Lefschetz thimbles have been proposed recently as a possible solution to the complex action problem (sign problem) in Monte Carlo simulations. Here we discuss pure abelian gauge theory with a complex coupling $\beta$ and apply the concept of Generalized Lefschetz thimbles. We propose to simulate the theory on the union of the tangential manifolds to the thimbles. We construct a local Metropolis-type algorithm, that is constrained to a specific tangential manifold. We also discuss how, starting from this result, successive subleading tangential manifolds can be taken into account via a reweighting approach. We demonstrate the algorithm on $U(1)$ gauge theory in 1+1 dimensions and investigate the residual sign problem. 
650 4 |a High Energy Physics - Lattice 
700 1 |a Scherzer, Manuel  |e VerfasserIn  |0 (DE-588)1156540917  |0 (DE-627)1019338962  |0 (DE-576)502235950  |4 aut 
700 1 |a Schmidt, Christian F.  |e VerfasserIn  |0 (DE-588)1269200887  |0 (DE-627)1817888552  |4 aut 
700 1 |a Ziegler, Felix P. G.  |d 1990-  |e VerfasserIn  |0 (DE-588)1147584567  |0 (DE-627)1006327932  |0 (DE-576)495768162  |4 aut 
700 1 |a Ziesché, Felix  |e VerfasserIn  |4 aut 
773 0 8 |i Enthalten in  |t Arxiv  |d Ithaca, NY : Cornell University, 1991  |g (2020), Artikel-ID 2001.09767, Seite 1-7  |h Online-Ressource  |w (DE-627)509006531  |w (DE-600)2225896-6  |w (DE-576)28130436X  |7 nnas  |a Simulating gauge theories on Lefschetz thimbles 
773 1 8 |g year:2020  |g elocationid:2001.09767  |g pages:1-7  |g extent:7  |a Simulating gauge theories on Lefschetz thimbles 
856 4 0 |u https://doi.org/10.48550/arXiv.2001.09767  |x Verlag  |x Resolving-System  |z lizenzpflichtig  |3 Volltext 
856 4 0 |u http://arxiv.org/abs/2001.09767  |x Verlag  |z lizenzpflichtig  |3 Volltext 
951 |a AR 
992 |a 20221007 
993 |a Article 
994 |a 2020 
998 |g 1047077388  |a Pawlowski, Jan M.  |m 1047077388:Pawlowski, Jan M.  |d 130000  |d 130300  |d 700000  |d 728500  |e 130000PP1047077388  |e 130300PP1047077388  |e 700000PP1047077388  |e 728500PP1047077388  |k 0/130000/  |k 1/130000/130300/  |k 0/700000/  |k 1/700000/728500/  |p 1  |x j 
999 |a KXP-PPN1818214636  |e 419505382X 
BIB |a Y 
JSO |a {"id":{"eki":["1818214636"],"doi":["10.48550/arXiv.2001.09767"]},"language":["eng"],"name":{"displayForm":["Jan M. Pawlowski, Manuel Scherzer, Christian Schmidt, Felix P.G. Ziegler, Felix Ziesché"]},"type":{"media":"Online-Ressource","bibl":"chapter"},"recId":"1818214636","title":[{"title_sort":"Simulating gauge theories on Lefschetz thimbles","title":"Simulating gauge theories on Lefschetz thimbles"}],"person":[{"display":"Pawlowski, Jan M.","role":"aut","family":"Pawlowski","given":"Jan M."},{"role":"aut","display":"Scherzer, Manuel","family":"Scherzer","given":"Manuel"},{"role":"aut","display":"Schmidt, Christian F.","family":"Schmidt","given":"Christian F."},{"family":"Ziegler","given":"Felix P. G.","display":"Ziegler, Felix P. G.","role":"aut"},{"display":"Ziesché, Felix","role":"aut","given":"Felix","family":"Ziesché"}],"relHost":[{"title":[{"title_sort":"Arxiv","title":"Arxiv"}],"part":{"year":"2020","extent":"7","text":"(2020), Artikel-ID 2001.09767, Seite 1-7","pages":"1-7"},"disp":"Simulating gauge theories on Lefschetz thimblesArxiv","type":{"media":"Online-Ressource","bibl":"edited-book"},"language":["eng"],"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"note":["Gesehen am 28.05.2024"],"origin":[{"publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]","dateIssuedKey":"1991","dateIssuedDisp":"1991-","publisher":"Cornell University ; Arxiv.org"}],"physDesc":[{"extent":"Online-Ressource"}],"recId":"509006531","id":{"zdb":["2225896-6"],"eki":["509006531"]},"pubHistory":["1991 -"]}],"physDesc":[{"extent":"7 S."}],"note":["Gesehen am 07.10.2022"],"origin":[{"dateIssuedKey":"2020","dateIssuedDisp":"27 Jan 2020"}]} 
SRT |a PAWLOWSKIJSIMULATING2720