2013/09/30 by Michele Della Morte, Pilar Hernández, Pilar Hernandez
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Degrees of freedom (physics and chemistry) #Gauge theory #Geometry #Hamiltonian lattice gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Mathematical physics #Mathematics #Non-perturbative #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scalar (mathematics) #Scaling #Theoretical physics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep11(2013)213
1+22 pages, 8 figures, 1 table and 1 appendix. Few typos corrected and references added. Conclusions unchanged. Version accepted for publication in JHEP
openalex publication_date 2013/11/01 · arxiv created 2013/11/08 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a non-perturbative formulation of an SU(2) massive gauge theory on a space-time lattice, which is also a discretised gauged non-linear chiral model. The lattice model is shown to have an exactly conserved global SU(2) symmetry. If a scaling region for the lattice model exists and the lightest degrees of freedom are spin one vector particles with the same quantum numbers as the conserved current, we argue that the most general effective theory describing their low-energy dynamics must be a massive gauge theory. We present results of a exploratory numerical simulation of the model and find indications for the presence of a scaling region where both a triplet vector and a scalar remain light.