Lattice study of the simplified model of M-theory for larger gauge groups
P. Bialas, J. Wosiek
Abstract
Lattice discretization of the supersymmetric Yang-Mills quantum mechanics is dis cussed. First results of the quenched Monte Carlo simulations, for D=4 and with higher g auge groups (3 <= N <= 8), are presented. We confirm an earlier (N=2) evidence tha t the system reveals different behaviours at low and high temperatures separated by a narrow transiti on region. These two regimes may correspond to a black hole and elementary excitations phases conjectured in the M-theory. Dependence of the "transition temperature" on N is consistent with 't Hooft scaling and shows a smooth saturation of lattice results towards the large N limit. Is not yet resolved if the observed change between the two regimes corresponds to a genuine phase transition or to a gentle crossover . A new, noncompact formulation of the lattice model is also proposed and its advantages are briefly discussed.
Create a lesson
Related papers
Evidence of Taste-Symmetry restoration for Kähler-Dirac fermions on Euclidean Dynamical Triangulations
Mingwei Dai, Walter Freeman, Mason Grieb et al.
Hamiltonian framework for Chiral Gauge Theories on a Disk Boundary
Srimoyee Sen
Finite-size scaling analysis of three dimensional Z(2) and O(2) spin models with non-vanishing symmetry breaking parameter
Jishnu Goswami, Frithjof Karsch, Sabarnya Mitra
Bjorken sum rule down to the elastic region from the lattice
J. A. Crawford, A. Hannaford-Gunn, R. Horsley et al.
Performance Portable SU(N) Lattice Gauge Theory Simulation with Kokkos
Wei Sun
Sampling SU(N) gauge theory on a 2D lattice from independent plaquettes via holonomies and corner reweighting
Javad Komijani