Zero modes in the light-front coupled-cluster method

Sophia S. Chabysheva, John R. Hiller

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6 Scopus citations


The light-front coupled-cluster (LFCC) method is a technique for solving Hamiltonian eigenvalue problems in light-front-quantized field theories. Its primary purpose is to provide a systematic sequence of solvable approximations to the original eigenvalue problem without the truncation of Fock space. Here we discuss the incorporation of zero modes, modes of zero longitudinal momentum, into the formalism of the method. Without zero modes, the light-front vacuum is trivial, and the vacuum expectation value of the field is always zero. The LFCC method with zero modes provides for vacuum structure, in the form of a generalized coherent state of zero modes, as is illustrated here in two-dimensional model field theories.

Original languageEnglish (US)
Pages (from-to)188-204
Number of pages17
JournalAnnals of Physics
Issue number1
StatePublished - Jan 2014

Bibliographical note

Funding Information:
This work was supported in part by the U.S. Department of Energy through Contract No. DE-FG02-98ER41087.


  • Coherent state
  • Light-front coupled-cluster method
  • Nonperturbative solution
  • Zero mode


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