Quantum Spins and Quantum Links: The D-Theory Approach to Field Theory
U. -J. Wiese
Abstract
A new non-perturbative approach to quantum field theory is proposed. Instead of performing a path integral over configurations of classical fields, D-theory works with discrete quantized variables. Classical spin fields are replaced by quantum spins, and classical gauge fields are replaced by quantum links. The classical fields of a d-dimensional quantum field theory reappear as low-energy effective degrees of freedom of the discrete variables, provided the (d+1)-dimensional D-theory is massless. When the extent of the extra Euclidean dimension becomes small in units of the correlation length, an ordinary d-dimensional quantum field theory emerges by dimensional reduction. The D-theory formulation of some spin models and gauge theories is constructed explicitly. In particular, QCD emerges as a quantum link model.
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