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Discretized light-cone quantization: Solution to a field theory in one space and one time dimension
Phys. Rev. D 32, 2001 – Published 15 October, 1985
DOI: https://doi.org/10.1103/PhysRevD.32.2001
Abstract
In the preceding paper, the field-theoretic bound-state problem in 1+1 dimensions was mapped to the problem of diagonalizing a strictly finite-dimensional Hamiltonian matrix by quantizing at equal light-cone time. In this paper, we calculate the invariant mass spectrum for the Yukawa theory ψ¯φψ. The spectrum is shown to be independent of the momentum cutoff in the limit Λ→∞ and more complex with increasing harmonic resolution K. The results are compared with the recent work of Brooks and Frautschi, who apply conventional space-time quantization. Because of incompatible cutoffs, we reproduce their results only qualitatively, for a rather small value of Λ. We propose an explanation for their nonunique mass renormalization. We also discuss the straightforward application of the discretized light-cone quantization to non-Abelian field theories in 1+1 dimensions, and the generalization to 3+1 dimensions.
References (7)
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