The Light-Cone Vacuum in 1+1 Dimensional Super-Yang-Mills Theory

Abstract

The Discrete Light-Cone Quantization (DLCQ) of a supersymmetric SU(N) gauge theory in 1+1 dimensions is discussed, with particular emphasis given to the inclusion of all dynamical zero modes. Interestingly, the notorious `zero-mode problem' is now tractable because of special supersymmetric cancellations. In particular, we show that anomalous zero-mode contributions to the currents are absent, in contrast to what is observed in the non-supersymmetric case. We find that the supersymmetric partner of the gauge zero mode is the diagonal component of the fermion zero mode. An analysis of the vacuum structure is provided and it is shown that the inclusion of zero modes is crucial for probing the phase properties of the vacua. In particular, we find that the ground state energy is zero and N-fold degenerate, and thus consistent with unbroken supersymmetry. We also show that the inclusion of zero modes for the light-cone supercharges leaves the supersymmetry algebra unchanged. Finally, we remark that the dependence of the light-cone Fock vacuum in terms of the gauge zero is unchanged in the presence of matter fields.

REVTEX, 15 pages

References in corpus (12)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Matrix String Theory
• Strings from Matrices
• Proposals on nonperturbative superstring interactions
• Bound States of Dimensionally Reduced {SYM}_{2+1} at Finite N
• Non-Perturbative Spectrum of Two Dimensional (1,1) Super Yang-Mills at Finite and Large N
• DLCQ Bound States of N =(2,2) Super-Yang-Mills at Finite and Large N
• The DLCQ Spectrum of N=(8,8) Super Yang-Mills
• Super Yang-Mills at Weak, Intermediate and Strong Coupling
• On Exact Supersymmetry in DLCQ
• Effect of Zero Modes on the Bound-State Spectrum in Light-Cone Quantisation
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Cited by in corpus (19)

• Can DLCQ test the Maldacena Conjecture?
• SDLCQ: Supersymmetric Discrete Light Cone Quantization
• Wave functions and properties of massive states in three-dimensional supersymmetric Yang-Mills theory
• The Mass Spectrum of N=1 SYM(2+1) at Strong Coupling
• N=(1,1) Super Yang-Mills on a (2+1) Dimensional Transverse Lattice with one Exact Supersymmetry
• N=1 super Yang-Mills on a (3+1) dimensional transverse lattice with one exact supersymmetry
• Mesonic Spectrum of Two Dimensional Supersymmetric Theories
• N=(1,1) super Yang--Mills theory in 1+1 dimensions at finite temperature
• Anomalously light mesons in a (1+1)-dimensional supersymmetric theory with fundamental matter
• Fermionic Zero Modes and Spontaneous Symmetry Breaking on the Light Front
• Simulation of Dimensionally Reduced SYM-Chern-Simons Theory
• Anomalously light states in super-Yang-Mills Chern-Simons theory
• Approximate BPS states
• Properties of the Bound States of Super-Yang-Mills-Chern-Simons Theory
• Two-dimensional super Yang-Mills theory investigated with improved resolution
• Spectrum of N=1 massive super Yang-Mills theory with fundamental matter in 1+1 dimensions
• Renormalizing DLCQ Using Supersymmetry
• Supersymmetry and DLCQ
• Model for SU(3) vacuum degeneracy using light-cone coordinates