Results 71 to 80 of about 856,201 (212)
Lattice implementation of Abelian gauge theories with Chern–Simons number and an axion field
Real time evolution of classical gauge fields is relevant for a number of applications in particle physics and cosmology, ranging from the early Universe to dynamics of quark–gluon plasma.
Daniel G. Figueroa, Mikhail Shaposhnikov
doaj +1 more source
Excitations in strict 2-group higher gauge models of topological phases
We consider an exactly solvable model for topological phases in (3+1) d whose input data is a strict 2-group. This model, which has a higher gauge theory interpretation, provides a lattice Hamiltonian realisation of the Yetter homotopy 2-type topological
Alex Bullivant, Clement Delcamp
doaj +1 more source
The Relativistic Bound State Problem in QCD: Transverse Lattice Methods [PDF]
The formalism for describing hadrons using a light-cone Hamiltonian of SU(N) gauge theory on a coarse transverse lattice is reviewed. Physical gauge degrees of freedom are represented by disordered flux fields on the links of the lattice.
't Hooft+105 more
core +4 more sources
From square plaquettes to triamond lattices for SU(2) gauge theory
Lattice gauge theory should be able to address significant new scientific questions when implemented on quantum computers. In practice, error-mitigation techniques have already allowed encouraging progress on small lattices.
Ali H. Z. Kavaki, Randy Lewis
doaj +1 more source
Microscopic Description of 2D Topological Phases, Duality, and 3D State Sums
Doubled topological phases introduced by Kitaev, Levin, and Wen supported on two-dimensional lattices are Hamiltonian versions of three-dimensional topological quantum field theories described by the Turaev-Viro state sum models.
Zoltán Kádár+2 more
doaj +1 more source
Exact solution of Z_2 Chern-Simons model on a triangular lattice
We construct the Hamiltonian description of the Chern-Simons theory with Z_n gauge group on a triangular lattice. We show that the Z_2 model can be mapped onto free Majorana fermions and compute the excitation spectrum. In the bulk the spectrum turns out
Doucot, B., Ioffe, L. B.
core +2 more sources
Lattice Hamiltonian for adjoint QCD2
We introduce a Hamiltonian lattice model for the (1 + 1)-dimensional SU(N c ) gauge theory coupled to one adjoint Majorana fermion of mass m. The discretization of the continuum theory uses staggered Majorana fermions.
Ross Dempsey+3 more
doaj +1 more source
Hamiltonian Renormalization V: Free Vector Bosons
In a recent proposal we applied methods from constructive QFT to derive a Hamiltonian Renormalization Group in order to employ it ultimately for canonical quantum gravity.
K. Liegener, T. Thiemann
doaj +1 more source
Finite-element quantum field theory
An alternative approach to lattice gauge theory has been under development for the past decade. It is based on discretizing the operator Heisenberg equations of motion in such a way as to preserve the canonical commutation relations at each lattice site.
Bender+7 more
core +1 more source
Method for Extracting the Glueball Wave Function [PDF]
We describe a nonperturbative method for calculating the QCD vacuum and glueball wave functions, based on an eigenvalue equation approach to Hamiltonian lattice gauge theory.
Arisue+25 more
core +3 more sources