Complex Langevin: etiology and diagnostics of its main problem
The complex Langevin method is a leading candidate for solving the so-called sign problem occurring in various physical situations. Its most vexing problem is that sometimes it produces ‘convergence to the wrong limit’. In this paper we carefully revisit the formal justification of the method, ident...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
01 October 2011
|
| In: |
The European physical journal. C, Particles and fields
Year: 2011, Jahrgang: 71, Heft: 10, Pages: 1-17 |
| ISSN: | 1434-6052 |
| DOI: | 10.1140/epjc/s10052-011-1756-5 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1140/epjc/s10052-011-1756-5
|
| Verfasserangaben: | Gert Aarts, Frank A. James, Erhard Seiler, Ion-Olimpiu Stamatescu |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1793709157 | ||
| 003 | DE-627 | ||
| 005 | 20220820133928.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220223s2011 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1140/epjc/s10052-011-1756-5 |2 doi | |
| 035 | |a (DE-627)1793709157 | ||
| 035 | |a (DE-599)KXP1793709157 | ||
| 035 | |a (OCoLC)1341445354 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Aarts, Gert |d 1972- |e VerfasserIn |0 (DE-588)139626999 |0 (DE-627)703404539 |0 (DE-576)312503415 |4 aut | |
| 245 | 1 | 0 | |a Complex Langevin |b etiology and diagnostics of its main problem |c Gert Aarts, Frank A. James, Erhard Seiler, Ion-Olimpiu Stamatescu |
| 264 | 1 | |c 01 October 2011 | |
| 300 | |a 17 | ||
| 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 23.02.2023 | ||
| 520 | |a The complex Langevin method is a leading candidate for solving the so-called sign problem occurring in various physical situations. Its most vexing problem is that sometimes it produces ‘convergence to the wrong limit’. In this paper we carefully revisit the formal justification of the method, identifying points at which it may fail and derive a necessary and sufficient criterion for correctness. This criterion is, however, not practical, since its application requires checking an infinite tower of identities. We propose instead a practical test involving only a check of the first few of those identities; this raises the question of the ‘sensitivity’ of the test. This sensitivity as well as the general insights into the possible reasons of failure (the etiology) are then tested in two toy models where the correct answer is known. At least in those models the test works perfectly. | ||
| 700 | 1 | |a James, Frank A. |e VerfasserIn |4 aut | |
| 700 | 1 | |a Seiler, Erhard |e VerfasserIn |4 aut | |
| 700 | 1 | |a Stamatescu, Ion-Olimpiu |d 1941- |e VerfasserIn |0 (DE-588)1054303746 |0 (DE-627)791271358 |0 (DE-576)176705139 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t The European physical journal. C, Particles and fields |d Berlin : Springer, 1998 |g 71(2011), 10, Artikel-ID 1756, Seite 1-17 |h Online-Ressource |w (DE-627)253722934 |w (DE-600)1459069-4 |w (DE-576)072372664 |x 1434-6052 |7 nnas |a Complex Langevin etiology and diagnostics of its main problem |
| 773 | 1 | 8 | |g volume:71 |g year:2011 |g number:10 |g elocationid:1756 |g pages:1-17 |g extent:17 |a Complex Langevin etiology and diagnostics of its main problem |
| 856 | 4 | 0 | |u https://doi.org/10.1140/epjc/s10052-011-1756-5 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220223 | ||
| 993 | |a Article | ||
| 994 | |a 2011 | ||
| 998 | |g 1054303746 |a Stamatescu, Ion-Olimpiu |m 1054303746:Stamatescu, Ion-Olimpiu |d 130000 |e 130000PS1054303746 |k 0/130000/ |p 4 |y j | ||
| 999 | |a KXP-PPN1793709157 |e 4071598921 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"person":[{"given":"Gert","family":"Aarts","role":"aut","display":"Aarts, Gert","roleDisplay":"VerfasserIn"},{"role":"aut","display":"James, Frank A.","roleDisplay":"VerfasserIn","given":"Frank A.","family":"James"},{"given":"Erhard","family":"Seiler","role":"aut","roleDisplay":"VerfasserIn","display":"Seiler, Erhard"},{"roleDisplay":"VerfasserIn","display":"Stamatescu, Ion-Olimpiu","role":"aut","family":"Stamatescu","given":"Ion-Olimpiu"}],"title":[{"title":"Complex Langevin","subtitle":"etiology and diagnostics of its main problem","title_sort":"Complex Langevin"}],"type":{"bibl":"article-journal","media":"Online-Ressource"},"note":["Gesehen am 23.02.2023"],"language":["eng"],"recId":"1793709157","name":{"displayForm":["Gert Aarts, Frank A. James, Erhard Seiler, Ion-Olimpiu Stamatescu"]},"origin":[{"dateIssuedKey":"2011","dateIssuedDisp":"01 October 2011"}],"id":{"eki":["1793709157"],"doi":["10.1140/epjc/s10052-011-1756-5"]},"physDesc":[{"extent":"17 S."}],"relHost":[{"physDesc":[{"extent":"Online-Ressource"}],"origin":[{"dateIssuedDisp":"1998-","publisher":"Springer","dateIssuedKey":"1998","publisherPlace":"Berlin ; Heidelberg"}],"id":{"issn":["1434-6052"],"eki":["253722934"],"zdb":["1459069-4"]},"type":{"bibl":"periodical","media":"Online-Ressource"},"disp":"Complex Langevin etiology and diagnostics of its main problemThe European physical journal. C, Particles and fields","note":["Gesehen am 24.09.14"],"recId":"253722934","language":["eng"],"pubHistory":["1.1998 -"],"part":{"year":"2011","issue":"10","pages":"1-17","text":"71(2011), 10, Artikel-ID 1756, Seite 1-17","volume":"71","extent":"17"},"titleAlt":[{"title":"The European physical journal / C"}],"title":[{"title":"The European physical journal","title_sort":"European physical journal","partname":"Particles and fields"}]}]} | ||
| SRT | |a AARTSGERTJCOMPLEXLAN0120 | ||