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Linear lattice gauge theory
- Source :
- Nuclear Physics B
- Publication Year :
- 2014
- Publisher :
- Elsevier BV, 2014.
-
Abstract
- Linear lattice gauge theory is based on link variables that are arbitrary complex or real $N\times N$ matrices, in distinction to the usual (non-linear) formulation with unitary or orthogonal matrices. For a large region in parameter space both formulations belong to the same universality class, such that the continuum limits of linear and non-linear lattice gauge theory are identical. We explore if the linear formulation can help to find a non-perturbative continuum limit formulated in terms of continuum fields. Linear lattice gauge theory exhibits excitations beyond the gauge fields. In the linear formulation the running gauge coupling corresponds to the flow of the minimum of a ``link potential''. This minimum occurs for a nonzero value of the link variable $l_0$ in the perturbative regime, while $l_0$ vanishes in the confinement regime. We discuss a flow equation for the scale dependent location of the minimum $l_0(k)$.<br />Comment: extended discussion of relation to standard gauge theories, 13 pages. arXiv admin note: substantial text overlap with arXiv:1212.3507
- Subjects :
- High Energy Physics - Theory
Physics
Introduction to gauge theory
Nuclear and High Energy Physics
Quantum gauge theory
High Energy Physics::Lattice
Lattice field theory
High Energy Physics - Lattice (hep-lat)
FOS: Physical sciences
Lattice QCD
High Energy Physics - Lattice
Hamiltonian lattice gauge theory
High Energy Physics - Theory (hep-th)
Quantum Gases (cond-mat.quant-gas)
Quantum mechanics
Lattice gauge theory
Condensed Matter - Quantum Gases
Gauge anomaly
Lattice model (physics)
Mathematical physics
Subjects
Details
- ISSN :
- 05503213
- Volume :
- 884
- Database :
- OpenAIRE
- Journal :
- Nuclear Physics B
- Accession number :
- edsair.doi.dedup.....f97a65c83f24cb19437f85982330a6e4
- Full Text :
- https://doi.org/10.1016/j.nuclphysb.2014.04.002