Record link: 
http://hdl.handle.net/20.500.12708/224745
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Title: 
Exponential decay in đť‘‚(đť‘›)-invariant quantum spin systems
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Citation: 
Björnberg, J. E., & Ryan, K. (2025). Exponential decay in 𝑂(𝑛)-invariant quantum spin systems. arXiv. https://doi.org/10.48550/arXiv.2506.22254
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Publisher DOI: 
10.48550/arXiv.2506.22254
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Publication Type: 
Preprint
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Language: 
English
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Authors: 
Björnberg, Jakob E. 
Ryan, Kieran 
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Organisational Unit: 
E105-07 - Forschungsbereich Wahrscheinlichkeitstheorie 
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ArXiv ID: 
2506.22254
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Date (published): 
27-Jun-2025
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Number of Pages: 
20
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Preprint Server: 
arXiv 
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Keywords: 
Statistical Mechanics
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Abstract: 
We consider đť‘‚(đť‘›)-invariant and reflection-positive quantum spin systems on the integer lattice in any dimension, and prove that spin-spin correlations decay exponentially fast provided n is large enough. This answers a question of Ueltschi, who proved that for small n there is instead long-range order (for d at least 3).
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1020 - Informatik: 10%
5020 - Wirtschaftswissenschaften: 20%
1010 - Mathematik: 70%
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Appears in Collections:
Preprint

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