Abstract
We report a high statistics simulation of Ising spins coupled to 2D quantum gravity in the Regge calculus approach using triangulated tori with up to 512{sup 2} vertices. For the constant area ensemble and the dl/l functional measure we definitively can exclude the critical exponents of the Ising phase transition as predicted for dynamically triangulated surfaces. We rather find clear evidence that the critical exponents agree with the Onsager values for static regular lattices, independent of the coupling strength of an R{sup 2} interaction term. For exploratory simulations using the lattice version of the Misner measure the situation is less clear. ((orig.)).
Citation Formats
Holm, C, and Janke, W.
The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00363-E.
Holm, C, & Janke, W.
The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00363-E
Holm, C, and Janke, W.
1995.
"The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?"
Netherlands.
https://doi.org/10.1016/0920-5632(95)00363-E.
@misc{etde_101082,
title = {The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?}
author = {Holm, C, and Janke, W}
abstractNote = {We report a high statistics simulation of Ising spins coupled to 2D quantum gravity in the Regge calculus approach using triangulated tori with up to 512{sup 2} vertices. For the constant area ensemble and the dl/l functional measure we definitively can exclude the critical exponents of the Ising phase transition as predicted for dynamically triangulated surfaces. We rather find clear evidence that the critical exponents agree with the Onsager values for static regular lattices, independent of the coupling strength of an R{sup 2} interaction term. For exploratory simulations using the lattice version of the Misner measure the situation is less clear. ((orig.)).}
doi = {10.1016/0920-5632(95)00363-E}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {The Ising transition in 2D simplicial quantum gravity - can Regge calculus be right?}
author = {Holm, C, and Janke, W}
abstractNote = {We report a high statistics simulation of Ising spins coupled to 2D quantum gravity in the Regge calculus approach using triangulated tori with up to 512{sup 2} vertices. For the constant area ensemble and the dl/l functional measure we definitively can exclude the critical exponents of the Ising phase transition as predicted for dynamically triangulated surfaces. We rather find clear evidence that the critical exponents agree with the Onsager values for static regular lattices, independent of the coupling strength of an R{sup 2} interaction term. For exploratory simulations using the lattice version of the Misner measure the situation is less clear. ((orig.)).}
doi = {10.1016/0920-5632(95)00363-E}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}