Finite Size Scaling, Fisher Zeroes and N=4 Super Yang-Mills

Details Finite Size Scaling, Fisher Zeroes and N=4 Super Yang-Mills Finite Size Scaling, Fisher Zeroes and N=4 Super Yang-Mills

2004-08-25

arxiv.org/abs/hep-lat/0408041v1

Nucl.Phys.Proc.Suppl. 140 (2005) 817-819

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2004(spin), Fermilab, June 21-26, 2004; 3 pages, 4 figures

Scientific paper

10.1016/j.nuclphysbps.2004.11.19

We investigate critical slowing down in the local updating continuous-time Quantum Monte Carlo method by relating the finite size scaling of Fisher Zeroes to the dynamically generated gap, through the scaling of their respective critical exponents. As we comment, the nonlinear sigma model representation derived through the hamiltonian of our lattice spin model can also be used to give a effective treatment of planar anomalous dimensions in N=4 SYM. We present scaling arguments from our FSS analysis to discuss quantum corrections and recent 2-loop results, and further comment on the prospects of extending this approach for calculating higher twist parton distributions.

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