Using zeros of the canonical partition function map to detect

Oct 20, 2016 - that do not assure the model is in the BKT universality class. In the Fisher zeros approach one starts with a discrete canonical partit...

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The χRMT partition function corresponding to Nf flavours, topological sector ν, quarks in the fundamental and gluons in the adjoint representation is given by [1].

ponent ν of the pure system, and the space dimension of the fluctuation. Planar quasiperiodic graphs obtained by cut-and-project methods3 have low.

The center symmetry is a prosperous implement to characterize ... also [7, 8, 9] but those arguments are essentially integrated into DeTar–McLerran's first insight.

Oct 4, 1994 - Physics Department, University of Newcastle upon Tyne, ... over into the canonical commutation relation appropriate for the description of ...

Oct 4, 1994 - in section II, this system is purely bosonic ( complete with Bose-Einstein condensation ) with the effects of the deforming parameter only appearing in correlation functions if the bi's are assumed to commute . We are therefore motivate

The study of zeros of partition functions, initiated by Yang and Lee, provides an important qualitative and quantitative tool in the study of critical phenomena. This has frequently been used for periodic as well as hierarchical lattices. Here, we co

Rev.87 410. [2]FisherM E 1965Lectures in T heoreticalPhysics,vol7C,edW E Brittin(Boulder,CO:University. ofColorado Press)p 1. [3]W u F Y 1982 Rev.M od.Phys. 58 235. [4]RuelleD 1971 Phys.Rev.Lett.26 303. M onroe J L 1991 J.Stat.Phys.65 445. Itzykson C

Aug 31, 2012 - We calculate zeros of the q-state Potts model partition function on m'th-iterate Sierpinski graphs, .... 1: Zeros of the chromatic polynomial P (S4, q) in the q plane. (123 zeros). P(G, q) contains the factor P(Kr,q) = ∏ r−1 j=0(q

We would like to thank Greg Johnson and Frank Alexander for very useful discussions. This work was carried out in part at Los Alamos National Laboratory ...

Mar 19, 2013 - 1Department of Physics and Astronomy, McMaster University, Hamilton, ON, ...... (University of Colorado Press, Boulder, Colorado, USA,.

Apr 21, 2017 - of the Ising model on hypergraphs of bounded degree and edge size, where no ..... Lee-Yang theorem for symmetric hypergraph two-spin systems (which is ...... Left and Right Convergence of Graphs with Bounded Degree.

Feb 1, 2008 - transition is due to long range interactions in our model and the fact ..... Financial supports from FAPESP and a Research Excel- lence Fund of ...

Department of Physics, Kyushu University, Fukuoka 812-81, JAPAN. Hiroshi YONEYAMA ***. Department of Physics, Saga University, Saga 840, JAPAN.

space translation symmetry, we should note that the elements p. (n) ... self–interacting fermionic model with space translation symmetry. 5 .... We also define.

2Microsoft Research, One Microsoft Way, Redmond, Washington, USA. 3Center for ...... or ek and ek+1 are orthogonal and share exactly one endpoint.

Jul 16, 2004 - square lattice; transfer matrix; Fortuin–Kasteleyn representation; Beraha numbers; confor- ...... id. = (1, 0, 0, 0, 0, 0). (5.4b). Again, we have arranged the basis elements in decreasing order of number of bridges ℓ, so the lower

May 22, 2009 - 22. 4 Large-q expansion of the leading eigenvalue. 28. 4.1 Overview of method and results . . . . . . . . . . . . . . . . . . . . . 28. 4.2 Free boundary conditions . ...... holds for larger m as well. For some purposes it is slightly

Sep 20, 2011 - ... with a relative difference of order q−m, and which compete for ..... planarity of the Gn), that only non-crossing partitions can arise. ...... Full disclosure. ..... agreement between the eigenvalue and the dominant diagonal entr

Apr 19, 2000 - curves of partition-function zeros when n → ∞, which arise from the crossing in modulus of dominant ... Key Words: Chromatic polynomial; chromatic root; antiferromagnetic Potts model; square lattice; transfer matrix; ..... The expa

May 22, 2009 - 2See also the bibliographies of [6–10] for reference to the important related works of Shrock and collaborators. 3We adopt Shrock's [11] terminology for boundary conditions: free (mF × nF), cylindrical (mP ×. nF), cyclic (mF ×nP),

2 Microsoft Research, One Microsoft Way, Redmond WA 98052, U.S.A. ..... (2) Ak is a smooth simple arc with both endpoints on ∂Dk. Exactly two distinct.

Finally, we remark that, in one respect, our program falls short of the ultimate goal of the original ...... For that reason we will prefer to talk about the roots of the function f. Lemma 4.3. ...... push the argument through. Proof of Lemma 4.6.

Jun 7, 2006 - connected components (including isolated vertices) in the subgraph (V,E′). We now promote. (1.2) to the definition of the model, which permits us to consider q as an arbitrary ... Following our earlier publications ..... In practice,

Nov 9, 2007 - Robert P. Boyer, William M. Y. Goh. June 2 ... Richard Stanley plotted the zeros of F200 and asked what happens as their degrees go to infinity.