A nonperturbative coupled-cluster method for quantum field theories

J. R. Hiller

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The nonperturbative Hamiltonian eigenvalue problem for bound states of a quantum field theory is formulated in terms of Dirac's light-front coordinates and then approximated by the exponential operator technique of the many-body coupled-cluster method. This approximation eliminates any need for the usual approximation of Fock-space truncation. Instead, the exponentiated operator is truncated, and the terms retained are determined by a set of nonlinear integral equations. These equations are solved simultaneously with an effective eigenvalue problem in the valence sector, where the number of constituents is small. Matrix elements can be calculated, with extensions of techniques from many-body coupled-cluster theory, to obtain form factors and other observables.

Original languageEnglish (US)
Title of host publication11th Conference on the Intersections of Particle and Nuclear Physics, CIPANP 2012
Pages554-556
Number of pages3
DOIs
StatePublished - Dec 16 2013
Event11th Conference on the Intersections of Particle and Nuclear Physics, CIPANP 2012 - St. Petersburg, FL, United States
Duration: May 29 2012Jun 3 2012

Publication series

NameAIP Conference Proceedings
Volume1560
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other11th Conference on the Intersections of Particle and Nuclear Physics, CIPANP 2012
CountryUnited States
CitySt. Petersburg, FL
Period5/29/126/3/12

Keywords

  • Hamiltonian method
  • light-front quantization

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