Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-08-20
J.Math.Phys.35:769-779,1994
Physics
High Energy Physics
High Energy Physics - Lattice
16 pp., UIOWA-91-26
Scientific paper
10.1063/1.530610
It is proved that for a system of spins $\sigma _i = \pm 1$ having an interaction energy $-\sum K_{ij} \sigma _i \sigma _j $ with all the $K_{ij}$ strictly positive,one can construct a dual formulation by associating a dual spin $S_{ijk} = \pm 1$ to each triplet of distinct sites $i,j$ and $k$. The dual interaction energy reads $-\sum _{(ij)} D_{ij} \prod _{k \neq i,j} S_{ijk}$ with $tanh(K_{ij})\ = \ exp(-2D_{ij})$, and it is invariant under local symmetries. We discuss the gauge-fixing procedure, identities relating averages of order and disorder variables and representations of various quantities as integrals over Grassmann variables. The relevance of these results for Polyakov's approach of the 3D Ising model is briefly discussed.
No associations
LandOfFree
Duality in Long-Range Ising Ferromagnets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Duality in Long-Range Ising Ferromagnets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality in Long-Range Ising Ferromagnets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-329181