Zero momentum modes in discrete light-cone quantization

Abstract

We consider the constrained zero modes found in the application of discrete light-cone quantization (DLCQ) to the nonperturbative solution of quantum field theories. These modes are usually neglected for simplicity, but we show that their inclusion can be relatively straightforward, and, what is more, that they are useful for nonperturbative calculations of field-theoretic spectra. In particular, inclusion of zero modes improves the convergence of the numerical calculation and makes possible the direct calculation of vacuum expectation values, even when the zero modes are determined dynamically. We also comment on zero-mode contributions not included by DLCQ, namely zero-mode loops.

10 pages, LaTeX/REVTeX, no figures; typos corrected, references added, discussion of zero-mode loops added

References in corpus (18)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Light Front Quantization
• Compactification in the Lightlike Limit
• Spontaneous Symmetry Breaking of phi4(1+1) in Light Front Field Theory
• Spontaneous Symmetry Breaking at Infinite Momentum without P+ Zero-Modes
• Spontaneous symmetry breaking of (1+1)-dimensional ${\varphi }^4$ theory in light-front field theory (II)
• Spontaneous symmetry breaking of (1+1)-dimensional ${\varphi }^4$ theory in light-front field theory (III)
• Ab initio results for the broken phase of scalar light front field theory
• $k^{+}=0$ Modes in Light-Cone Quantization
• Phase Transition in Light-Front ${\varphi }_{1+1}^4$
• Spectrum and thermodynamic properties of two-dimensional N=(1,1) super Yang-Mills theory with fundamental matter and a Chern-Simons term
• The Continuum Version of ϕ^4_{1+1}-theory in Light-Front Quantization
• Broken phase of the O(N) ϕ^4 model in light cone quantization and 1/N expansion
• Dynamics on the Light Cone : Compact versus Continuum Quantization
• Light-cone zero modes revisited
• Critical properties of ${\Phi }_{1+1}^4$-theory in Light-Cone Quantization
• Does DLCQ S-matrix have a covariant continuum limit?
• Quantum Newtonian Dynamics on a Light Front

Cited by in corpus (9)

• Quantum Simulation for High Energy Physics
• A light-front coupled-cluster method for the nonperturbative solution of quantum field theories
• Two-dimensional light-front ${\varphi }^4$ theory in a symmetric polynomial basis
• On the nonperturbative solution of Pauli--Villars-regulated light-front QED: A comparison of the sector-dependent and standard parameterizations
• Basis of symmetric polynomials for many-boson light-front wave functions
• A first nonperturbative calculation in light-front QED for an arbitrary covariant gauge
• Transitioning from equal-time to light-front quantization in ${\varphi }_2^4$ theory
• Tadpoles and vacuum bubbles in light-front quantization
• Scalar theories and symmetry breaking in the light-front coupled-cluster method