Numerical RG-time integration of the effective potential: analysis and benchmark
We investigate the renormalization group (RG)-time integration of the effective potential in the functional renormalization group in the presence of spontaneous symmetry breaking and its subsequent convexity restoration on the example of a scalar theory in d=3. The features of this setup are common...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
7 June 2023
|
| In: |
Physical review
Year: 2023, Jahrgang: 107, Heft: 11, Pages: 1-22 |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.107.114009 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.107.114009 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.107.114009 
|
| Verfasserangaben: | Friederike Ihssen, Franz R. Sattler, and Nicolas Wink |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1856521354 | ||
| 003 | DE-627 | ||
| 005 | 20240307060859.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 230818s2023 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1103/PhysRevD.107.114009 |2 doi | |
| 035 | |a (DE-627)1856521354 | ||
| 035 | |a (DE-599)KXP1856521354 | ||
| 035 | |a (OCoLC)1425212887 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Ihssen, Friederike |d 1997- |e VerfasserIn |0 (DE-588)1241910561 |0 (DE-627)1771802332 |4 aut | |
| 245 | 1 | 0 | |a Numerical RG-time integration of the effective potential |b analysis and benchmark |c Friederike Ihssen, Franz R. Sattler, and Nicolas Wink |
| 264 | 1 | |c 7 June 2023 | |
| 300 | |a 22 | ||
| 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 18.08.2023 | ||
| 520 | |a We investigate the renormalization group (RG)-time integration of the effective potential in the functional renormalization group in the presence of spontaneous symmetry breaking and its subsequent convexity restoration on the example of a scalar theory in d=3. The features of this setup are common to many physical models and our results are, therefore, directly applicable to a variety of situations. We provide exhaustive work-precision benchmarks and numerical stability analyses by considering the combination of different discrete formulations of the flow equation and a large collection of different algorithms. The results are explained by using the different components entering the RG-time integration process and the eigenvalue structure of the discrete system. Particularly, the combination of Rosenbrock methods, implicit multistep methods, or certain (diagonally) implicit Runge-Kutta methods with exact or automatic differentiation Jacobians proves to be very potent. Furthermore, a reformulation in a logarithmic variable circumvents issues related to the singularity bound in the flat regime of the potential. | ||
| 700 | 1 | |a Sattler, Franz R. |d 1996- |e VerfasserIn |0 (DE-588)1299587402 |0 (DE-627)1856524175 |4 aut | |
| 700 | 1 | |a Wink, Nicolas |d 1994- |e VerfasserIn |0 (DE-588)1153918382 |0 (DE-627)1015518893 |0 (DE-576)500627967 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Physical review |d Ridge, NY : American Physical Society, 2016 |g 107(2023), 11 vom: Juni, Artikel-ID 114009, Seite 1-22 |h Online-Ressource |w (DE-627)846313510 |w (DE-600)2844732-3 |w (DE-576)454495811 |x 2470-0029 |7 nnas |a Numerical RG-time integration of the effective potential analysis and benchmark |
| 773 | 1 | 8 | |g volume:107 |g year:2023 |g number:11 |g month:06 |g elocationid:114009 |g pages:1-22 |g extent:22 |a Numerical RG-time integration of the effective potential analysis and benchmark |
| 856 | 4 | 0 | |u https://doi.org/10.1103/PhysRevD.107.114009 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u https://link.aps.org/doi/10.1103/PhysRevD.107.114009 |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20230818 | ||
| 993 | |a Article | ||
| 994 | |a 2023 | ||
| 998 | |g 1299587402 |a Sattler, Franz R. |m 1299587402:Sattler, Franz R. |d 130000 |d 130300 |e 130000PS1299587402 |e 130300PS1299587402 |k 0/130000/ |k 1/130000/130300/ |p 2 | ||
| 998 | |g 1241910561 |a Ihssen, Friederike |m 1241910561:Ihssen, Friederike |d 130000 |d 130300 |e 130000PI1241910561 |e 130300PI1241910561 |k 0/130000/ |k 1/130000/130300/ |p 1 |x j | ||
| 999 | |a KXP-PPN1856521354 |e 4367412946 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"physDesc":[{"extent":"22 S."}],"relHost":[{"name":{"displayForm":["published by American Physical Society"]},"recId":"846313510","id":{"issn":["2470-0029"],"eki":["846313510"],"zdb":["2844732-3"]},"pubHistory":["3rd series, volume 93, number 1 (January 2016)-"],"origin":[{"publisherPlace":"Ridge, NY","dateIssuedKey":"2016","publisher":"American Physical Society","dateIssuedDisp":"2016-"}],"note":["Gesehen am 14.03.2023"],"physDesc":[{"extent":"Online-Ressource"}],"disp":"Numerical RG-time integration of the effective potential analysis and benchmarkPhysical review","type":{"media":"Online-Ressource","bibl":"periodical"},"language":["eng"],"titleAlt":[{"title":"Particles, fields, gravitation, and cosmology"}],"corporate":[{"role":"isb","display":"American Physical Society"}],"part":{"issue":"11","text":"107(2023), 11 vom: Juni, Artikel-ID 114009, Seite 1-22","pages":"1-22","extent":"22","volume":"107","year":"2023"},"title":[{"title_sort":"Physical review","title":"Physical review"}]}],"title":[{"subtitle":"analysis and benchmark","title_sort":"Numerical RG-time integration of the effective potential","title":"Numerical RG-time integration of the effective potential"}],"person":[{"given":"Friederike","family":"Ihssen","role":"aut","display":"Ihssen, Friederike"},{"role":"aut","display":"Sattler, Franz R.","given":"Franz R.","family":"Sattler"},{"given":"Nicolas","family":"Wink","role":"aut","display":"Wink, Nicolas"}],"origin":[{"dateIssuedDisp":"7 June 2023","dateIssuedKey":"2023"}],"note":["Gesehen am 18.08.2023"],"id":{"eki":["1856521354"],"doi":["10.1103/PhysRevD.107.114009"]},"recId":"1856521354","name":{"displayForm":["Friederike Ihssen, Franz R. Sattler, and Nicolas Wink"]},"language":["eng"],"type":{"bibl":"article-journal","media":"Online-Ressource"}} | ||
| SRT | |a IHSSENFRIENUMERICALR7202 | ||