O'Connor, Denjoe and Dolan, Brian P. and Vachovski, Martin Petrov
(2013)
Critical behaviour of the fuzzy sphere.
Journal of High Energy Physics, 12 (085).
pp. 1-28.
ISSN 1029-8479
Abstract
We study a multi-matrix model whose low temperature phase is a fuzzy sphere
that undergoes an evaporation transition as the temperature is increased. We investigate
finite size scaling of the system as the limiting temperature of stability of the fuzzy sphere
phase is approached. We find on theoretical grounds that the system should obey scaling
with specific heat exponent α = 1
2 , shift exponent λ = 4
3 and that the peak in the specific
heat grows with exponent ω = 2
3 . Using hybrid Monte Carlo simulations we find good
collapse of specific heat data consistent with a scaling ansatz which give our best estimates
for the scaling exponents as α = 0.50 ± 0.01, λ = 1.41 ± 0.08 and ω = 0.66 ± 0.08.
| Item Type: |
Article
|
| Additional Information: |
This article is distributed under the creative commons license CC-BY 4.0 (http://creativecommons.org/licenses/by/4.0/) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. |
| Keywords: |
Matrix Models; Non-Commutative Geometry; M(atrix) Theories; Nonperturbative
Effects; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematical Physics |
| Item ID: |
5813 |
| Identification Number: |
https://doi.org/10.1007/JHEP12(2013)085 |
| Depositing User: |
Dr. Brian Dolan
|
| Date Deposited: |
11 Feb 2015 15:07 |
| Journal or Publication Title: |
Journal of High Energy Physics |
| Publisher: |
Springer (for SISSA) |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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