Probing the quantum nature of spacetime by diffusion
Many approaches to quantum gravity have resorted to diffusion processes to characterize the spectral properties of the resulting quantum spacetimes. We critically discuss these quantum-improved diffusion equations and point out that a crucial property, namely positivity of their solutions, is not pr...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
2013
|
| In: |
Arxiv
|
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/1304.7247
|
| Verfasserangaben: | Gianluca Calcagni, Astrid Eichhorn, and Frank Saueressig |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1567062970 | ||
| 003 | DE-627 | ||
| 005 | 20220814055340.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180111s2013 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)1567062970 | ||
| 035 | |a (DE-576)497062976 | ||
| 035 | |a (DE-599)BSZ497062976 | ||
| 035 | |a (OCoLC)1340985922 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Calcagni, Gianluca |e VerfasserIn |0 (DE-588)1125130814 |0 (DE-627)879445610 |0 (DE-576)375383778 |4 aut | |
| 245 | 1 | 0 | |a Probing the quantum nature of spacetime by diffusion |c Gianluca Calcagni, Astrid Eichhorn, and Frank Saueressig |
| 264 | 1 | |c 2013 | |
| 300 | |a 14 | ||
| 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 11.01.2018 | ||
| 520 | |a Many approaches to quantum gravity have resorted to diffusion processes to characterize the spectral properties of the resulting quantum spacetimes. We critically discuss these quantum-improved diffusion equations and point out that a crucial property, namely positivity of their solutions, is not preserved automatically. We then construct a novel set of diffusion equations with positive semi-definite probability densities, applicable to Asymptotically Safe gravity, Horava-Lifshitz gravity and Loop Quantum Gravity. These recover all previous results on the spectral dimension and shed further light on the structure of the quantum spacetimes by assessing the underlying stochastic processes. Pointing out that manifestly different diffusion processes lead to the same spectral dimension, we propose the probability distribution of the diffusion process as a refined probe of quantum spacetime. | ||
| 650 | 4 | |a High Energy Physics - Theory | |
| 650 | 4 | |a General Relativity and Quantum Cosmology | |
| 650 | 4 | |a Condensed Matter - Statistical Mechanics | |
| 700 | 1 | |a Eichhorn, Astrid |d 1983- |e VerfasserIn |0 (DE-588)1137344369 |0 (DE-627)894438050 |0 (DE-576)432759603 |4 aut | |
| 700 | 1 | |a Saueressig, Frank |d 1975- |e VerfasserIn |0 (DE-588)129324396 |0 (DE-627)393096564 |0 (DE-576)297599011 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (2013) Artikel-Nummer 1304.7247, 14 Seiten |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Probing the quantum nature of spacetime by diffusion |
| 773 | 1 | 8 | |g year:2013 |g extent:14 |a Probing the quantum nature of spacetime by diffusion |
| 856 | 4 | 0 | |u http://arxiv.org/abs/1304.7247 |x Verlag |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20180111 | ||
| 993 | |a Article | ||
| 998 | |g 1137344369 |a Eichhorn, Astrid |m 1137344369:Eichhorn, Astrid |p 2 | ||
| 999 | |a KXP-PPN1567062970 |e 2992654507 | ||
| BIB | |a Y | ||
| JSO | |a {"language":["eng"],"person":[{"role":"aut","display":"Calcagni, Gianluca","given":"Gianluca","family":"Calcagni"},{"role":"aut","display":"Eichhorn, Astrid","given":"Astrid","family":"Eichhorn"},{"role":"aut","display":"Saueressig, Frank","given":"Frank","family":"Saueressig"}],"relHost":[{"language":["eng"],"title":[{"title":"Arxiv","title_sort":"Arxiv"}],"physDesc":[{"extent":"Online-Ressource"}],"disp":"Probing the quantum nature of spacetime by diffusionArxiv","note":["Gesehen am 28.05.2024"],"pubHistory":["1991 -"],"part":{"text":"(2013) Artikel-Nummer 1304.7247, 14 Seiten","year":"2013","extent":"14"},"type":{"media":"Online-Ressource","bibl":"edited-book"},"id":{"zdb":["2225896-6"],"eki":["509006531"]},"recId":"509006531","titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"origin":[{"dateIssuedDisp":"1991-","publisher":"Cornell University ; Arxiv.org","dateIssuedKey":"1991","publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]"}]}],"title":[{"title":"Probing the quantum nature of spacetime by diffusion","title_sort":"Probing the quantum nature of spacetime by diffusion"}],"id":{"eki":["1567062970"]},"type":{"media":"Online-Ressource","bibl":"chapter"},"physDesc":[{"extent":"14 S."}],"note":["Gesehen am 11.01.2018"],"name":{"displayForm":["Gianluca Calcagni, Astrid Eichhorn, and Frank Saueressig"]},"recId":"1567062970","origin":[{"dateIssuedDisp":"2013","dateIssuedKey":"2013"}]} | ||
| SRT | |a CALCAGNIGIPROBINGTHE2013 | ||