Mean-Field Bound on the 1-Arm Exponent for Ising Ferromagnets in High Dimensions


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Files in This Item:

Sojourns in Probability and Statistical Physics.pdf

393.64 kB

PDF

Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/85989

Title:	Mean-Field Bound on the 1-Arm Exponent for Ising Ferromagnets in High Dimensions
Authors:	Handa, Satoshi Browse this author
	Heydenreich, Markus Browse this author
	Sakai, Akira Browse this author →KAKEN DB
Keywords:	Ising model
	1-arm exponent
	Random-current representation
Issue Date:	18-Oct-2019
Publisher:	Springer
Journal Title:	Sojourns in Probability and Statistical Physics - I(Springer Proceedings in Mathematics & Statistics)
Volume:	298
Start Page:	183
End Page:	198
Publisher DOI:	10.1007/978-981-15-0294-1_8
Abstract:	The 1-arm exponent ρ for the ferromagnetic Ising model on Zd is the critical exponent that describes how fast the critical 1-spin expectation at the center of the ball of radius r surrounded by plus spins decays in powers of r. Suppose that the spin-spin coupling J is translation-invariant, Zd-symmetric and finite-range. Using the random-current representation and assuming the anomalous dimension η=0, we show that the optimal mean-field bound ρ≤1 holds for all dimensions d>4. This significantly improves a bound previously obtained by a hyperscaling inequality.
Type:	article (author version)
URI:	http://hdl.handle.net/2115/85989
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 坂井哲

OAI-PMH ( junii2 , jpcoar_1.0 )

- Hokkaido University