Finite Size Scaling, Fisher Zeroes and N=4 Super Yang-Mills
arXiv:hep-lat/0408041 · doi:10.1016/j.nuclphysbps.2004.11.199
Abstract
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.
arXiv commentLattice 2004(spin), Fermilab, June 21-26, 2004; 3 pages, 4 figures
References in corpus (12)
- Electron Localization in the Insulating State
- High energy QCD as a completely integrable model
- The su(2|3) Dynamic Spin Chain
- Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
- Quantum Monte Carlo study of S=1/2 weakly-anisotropic antiferromagnets on the square lattice
- Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains
- Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
- Exact Finite-Size Scaling and Corrections to Scaling in the Ising Model with Brascamp-Kunz Boundary Conditions
- Phase Diagrams of Mixed Spin Chains with Period 4 by the Nonlinear Model
- Simulations of Discrete Quantum Systems in Continuous Euclidean Time
- String Theory and Quantum Spin Chains
- Composite reweighting with Imaginary Chemical Potentials in SU(3)