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authorJaron Kent-Dobias <jaron@kent-dobias.com>2018-10-03 22:59:46 -0400
committerJaron Kent-Dobias <jaron@kent-dobias.com>2018-10-03 22:59:46 -0400
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updated exponents, added more explanation to performance section
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@@ -15,6 +15,22 @@
file = {APS Snapshot:/home/pants/.zotero/data/storage/RMHXAR3A/PhysRevB.16.html:text/html;José et al. - 1977 - Renormalization, vortices, and symmetry-breaking p.pdf:/home/pants/.zotero/data/storage/M2V99JHC/José et al. - 1977 - Renormalization, vortices, and symmetry-breaking p.pdf:application/pdf}
}
+@article{wu_potts_1982,
+ title = {The {Potts} model},
+ volume = {54},
+ url = {https://link.aps.org/doi/10.1103/RevModPhys.54.235},
+ doi = {10.1103/RevModPhys.54.235},
+ abstract = {This is a tutorial review on the Potts model aimed at bringing out in an organized fashion the essential and important properties of the standard Potts model. Emphasis is placed on exact and rigorous results, but other aspects of the problem are also described to achieve a unified perspective. Topics reviewed include the mean-field theory, duality relations, series expansions, critical properties, experimental realizations, and the relationship of the Potts model with other lattice-statistical problems.},
+ number = {1},
+ urldate = {2018-04-04},
+ journal = {Reviews of Modern Physics},
+ author = {Wu, F. Y.},
+ month = jan,
+ year = {1982},
+ pages = {235--268},
+ file = {APS Snapshot:/home/pants/.zotero/data/storage/TJ83QK5V/RevModPhys.54.html:text/html;Wu - 1982 - The Potts model.pdf:/home/pants/.zotero/data/storage/KN9S57Z9/Wu - 1982 - The Potts model.pdf:application/pdf}
+}
+
@article{coniglio_exact_1989,
title = {Exact relations between droplets and thermal fluctuations in external field},
volume = {22},
@@ -167,6 +183,24 @@
file = {Geyer - 1992 - Practical Markov Chain Monte Carlo.pdf:/home/pants/.zotero/data/storage/UAU5QJNP/Geyer - 1992 - Practical Markov Chain Monte Carlo.pdf:application/pdf}
}
+@article{el-showk_solving_2014,
+ title = {Solving the 3d {Ising} {Model} with the {Conformal} {Bootstrap} {II}. \$\$\$\$-{Minimization} and {Preise} {Critial} {Exponents}},
+ volume = {157},
+ issn = {0022-4715, 1572-9613},
+ url = {https://link.springer.com/article/10.1007/s10955-014-1042-7},
+ doi = {10.1007/s10955-014-1042-7},
+ abstract = {We use the conformal bootstrap to perform a precision study of the operator spectrum of the critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central charge {\textbackslash}(c{\textbackslash}) in the space of unitary solutions to crossing symmetry. Because extremal solutions to crossing symmetry are uniquely determined, we are able to precisely reconstruct the first several {\textbackslash}({\textbackslash}mathbb \{Z\}\_2{\textbackslash})-even operator dimensions and their OPE coefficients. We observe that a sharp transition in the operator spectrum occurs at the 3d Ising dimension {\textbackslash}({\textbackslash}Delta \_{\textbackslash}sigma = 0.518154(15){\textbackslash}), and find strong numerical evidence that operators decouple from the spectrum as one approaches the 3d Ising point. We compare this behavior to the analogous situation in 2d, where the disappearance of operators can be understood in terms of degenerate Virasoro representations.},
+ language = {en},
+ number = {4-5},
+ urldate = {2018-04-04},
+ journal = {Journal of Statistical Physics},
+ author = {El-Showk, Sheer and Paulos, Miguel F. and Poland, David and Rychkov, Slava and Simmons-Duffin, David and Vichi, Alessandro},
+ month = dec,
+ year = {2014},
+ pages = {869--914},
+ file = {Full Text PDF:/home/pants/.zotero/data/storage/XB5EWQ28/El-Showk et al. - 2014 - Solving the 3d Ising Model with the Conformal Boot.pdf:application/pdf;Snapshot:/home/pants/.zotero/data/storage/9P7WJY86/s10955-014-1042-7.html:text/html}
+}
+
@article{janke_nonlocal_1998,
title = {Nonlocal {Monte} {Carlo} algorithms for statistical physics applications},
volume = {47},
@@ -377,6 +411,23 @@
file = {APS Snapshot:/home/pants/.zotero/data/storage/Q5RL6Q8U/PhysRevE.58.html:text/html;Redner et al. - 1998 - Graphical representations and cluster algorithms f.pdf:/home/pants/.zotero/data/storage/WYEU9G6Y/Redner et al. - 1998 - Graphical representations and cluster algorithms f.pdf:application/pdf}
}
+@article{guida_critical_1998,
+ title = {Critical exponents of the {N} -vector model},
+ volume = {31},
+ issn = {0305-4470},
+ url = {http://stacks.iop.org/0305-4470/31/i=40/a=006},
+ doi = {10.1088/0305-4470/31/40/006},
+ abstract = {Recently the series for two renormalization group functions (corresponding to the anomalous dimensions of the fields \#\#IMG\#\# [http://ej.iop.org/images/0305-4470/31/40/006/img1.gif] and \#\#IMG\#\# [http://ej.iop.org/images/0305-4470/31/40/006/img2.gif] ) of the three-dimensional \#\#IMG\#\# [http://ej.iop.org/images/0305-4470/31/40/006/img3.gif] field theory have been extended to next order (seven loops) by Murray and Nickel. We examine the influence of these additional terms on the estimates of critical exponents of the N -vector model, using some new ideas in the context of the Borel summation techniques. The estimates have slightly changed, but remain within the errors of the previous evaluation. Exponents such as \#\#IMG\#\# [http://ej.iop.org/images/0305-4470/31/40/006/img4.gif] (related to the field anomalous dimension), which were poorly determined in the previous evaluation of Le Guillou-Zinn-Justin, have seen their apparent errors significantly decrease. More importantly, perhaps, summation errors are better determined. The change in exponents affects the recently determined ratios of amplitudes and we report the corresponding new values. Finally, because an error has been discovered in the last order of the published \#\#IMG\#\# [http://ej.iop.org/images/0305-4470/31/40/006/img5.gif] expansions (order \#\#IMG\#\# [http://ej.iop.org/images/0305-4470/31/40/006/img6.gif] ), we have also re-analysed the determination of exponents from the \#\#IMG\#\# [http://ej.iop.org/images/0305-4470/31/40/006/img7.gif] -expansion. The conclusion is that the general agreement between \#\#IMG\#\# [http://ej.iop.org/images/0305-4470/31/40/006/img7.gif] -expansion and three-dimensional series has improved with respect to Le Guillou-Zinn-Justin.},
+ language = {en},
+ number = {40},
+ urldate = {2018-04-18},
+ journal = {Journal of Physics A: Mathematical and General},
+ author = {Guida, R. and Zinn-Justin, J.},
+ year = {1998},
+ pages = {8103},
+ file = {IOP Full Text PDF:/home/pants/.zotero/data/storage/K468APXL/Guida and Zinn-Justin - 1998 - Critical exponents of the N -vector model.pdf:application/pdf}
+}
+
@article{stauffer_scaling_1979,
title = {Scaling theory of percolation clusters},
volume = {54},