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We formulate ${\cal N}$=1 super Yang-Mills theory in 3+1 dimensions on a twodimensional transverse lattice using supersymmetric discrete light conequantization in the large-$N_c$ limit. This formulation is free of fermionspecies doubling. We are able to preserve one supersymmetry. We find a rich,non-trivial behavior of the mass spectrum as a function of the coupling$g\sqrt{N_c}$, and see some sort of "transition" in the structure of a boundstate as we go from the weak coupling to the strong coupling. Using a toy modelwe give an interpretation of the rich behavior of the mass spectrum. We presentthe mass spectrum as a function of the winding number for those states whosecolor flux winds all the way around in one of the transverse directions. We usetwo fits to the mass spectrum and the one that has a string theoryjustification appears preferable. For those states whose color flux islocalized we present an extrapolated value for $m^2$ for some low energy boundstates in the limit where the numerical resolution goes to infinity.Comment: 23(+2 for v3) pages, 19 figures; v2: a footnote added; v3: an  appendix, comments, references added. The version to appear PR

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>super Yang-Mills theory on a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mtext>​</mml:mtext><mml:mo>+</mml:mo><mml:mtext>​</mml:mtext><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>dimensional transverse lattice with one exact …

N=1super Yang-Mills theory on a(3​+​1)dimensional transverse lattice with one exact …

N=1super Yang-Mills theory on a(3+1)dimensional transverse lattice with one exact …