A light-front coupled-cluster method for the nonperturbative solution of quantum field theories

Abstract

We propose a new method for the nonperturbative solution of quantum field theories and illustrate its use in the context of a light-front analog to the Greenberg--Schweber model. The method is based on light-front quantization and uses the exponential-operator technique of the many-body coupled-cluster method. The formulation produces an effective Hamiltonian eigenvalue problem in the valence Fock sector of the system of interest, combined with nonlinear integral equations to be solved for the functions that define the effective Hamiltonian. The method avoids the Fock-space truncations usually used in nonperturbative light-front Hamiltonian methods and, therefore, does not suffer from the spectator dependence, Fock-sector dependence, and uncanceled divergences caused by such truncations.

11 pages, 4 figures, RevTeX 4.1; expanded description of method and replaced QED with simpler model for illustration

References in corpus (10)

• Hamiltonian light-front field theory in a basis function approach
• Systematic renormalization scheme in light-front dynamics with Fock space truncation
• Electron in a transverse harmonic cavity
• Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space
• On the nonperturbative solution of Pauli--Villars-regulated light-front QED: A comparison of the sector-dependent and standard parameterizations
• A nonperturbative calculation of the electron's magnetic moment with truncation extended to two photons
• Restoration of the chiral limit in Pauli-Villars-regulated light-front QED
• Spectrum and thermodynamic properties of two-dimensional N=(1,1) super Yang-Mills theory with fundamental matter and a Chern-Simons term
• Zero momentum modes in discrete light-cone quantization
• Application of a light-front coupled cluster method

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• Two-dimensional light-front ${\varphi }^4$ theory in a symmetric polynomial basis
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• Basis of symmetric polynomials for many-boson light-front wave functions
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• Light-Front Holographic QCD and Color Confinement
• Light-Front Holographic QCD and the Confinement Potential
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• Dissecting a strongly coupled scalar nucleon
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• Pauli-Villars regularization of non-Abelian gauge theories
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