Abstract
We examine the Kogut-Susskind formulation of lattice gauge theories
under the light of fermionic and bosonic degrees of freedom that provide
a description useful to the development of quantum simulators of
gauge-invariant models. We consider both discrete and continuous gauge
groups and adopt a realistic multicomponent Fock space for the
definition of matter degrees of freedom. In particular, we express the
Hamiltonian of the gauge theory and the Gauss law in terms of Fock
operators. The gauge fields are described in two different bases based
on either group elements or group representations. This formulation
allows for a natural scheme to achieve a consistent truncation of the
Hilbert space for continuous groups, and provides helpful tools to study
the connections of gauge theories with topological quantum double and
string-net models for discrete groups. Several examples, including the
case of the discrete D3 gauge group, are presented.
| Original language | English |
|---|---|
| Article number | 054506 |
| Journal | Physical Review D |
| Volume | 91 |
| Issue number | 5 |
| ISSN | 2470-0010 |
| DOIs | |
| Publication status | Published - 16 Mar 2015 |
| Externally published | Yes |
Keywords
- Lattice gauge theory