2004/10/31 by Fumihiko Sugino · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Degenerate energy levels #Dimensional reduction #Exact solutions in general relativity #Lattice (music) #Lattice field theory #Lattice model (finance) #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Supersymmetry #Supersymmetry breaking #hep-lat #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/01/016
published as JHEP0501:016,2005 · 28 pages, no figure, LaTeX, JHEP style; (v2) published version to JHEP; (v3) argument on the vacuum degeneracy revised, 34 pages
openalex publication_date 2005/01/07 · arxiv created 2006/06/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We continue to construct lattice super Yang-Mills theories along the line discussed in the previous papers \citesugino, sugino2. In our construction of \cal N=2, 4 theories in four dimensions, the problem of degenerate vacua seen in \citesugino is resolved by extending some fields and soaking up would-be zero-modes in the continuum limit, while in the weak coupling expansion some surplus modes appear both in bosonic and fermionic sectors reflecting the exact supersymmetry. A slight modification to the models is made such that all the surplus modes are eliminated in two- and three-dimensional models obtained by dimensional reduction thereof. \cal N=4, 8 models in three dimensions need fine-tuning of three and one parameters respectively to obtain the desired continuum theories, while two-dimensional models with \cal N=4, 8 do not require any fine-tuning.