Results 71 to 80 of about 856,201 (212)

Lattice implementation of Abelian gauge theories with Chern–Simons number and an axion field

open access: yesNuclear Physics B, 2018
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

open access: yesJournal of High Energy Physics, 2020
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]

open access: yes, 2001
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

open access: yesCommunications Physics
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

open access: yesAdvances in Mathematical Physics, 2010
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

open access: yes, 2005
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

open access: yesJournal of High Energy Physics
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

open access: yesFrontiers in Astronomy and Space Sciences, 2021
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

open access: yes, 1996
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]

open access: yes, 1997
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

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