# A nonperturbative light-front coupled-cluster method

## 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 standard coupled-cluster theory, to obtain form factors and other observables.

- Authors:

- Department of Physics, University of Minnesota-Duluth, Duluth, MN 55812 (United States)

- Publication Date:

- OSTI Identifier:
- 22075664

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 1492; Journal Issue: 1; Conference: QCD-WORK 2012: International workshop on quantum chromodynamics: Theory and experiment, Lecce (Italy), 18-21 Jun 2012; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; BOUND STATE; DIRAC EQUATION; EIGENFUNCTIONS; EIGENVALUES; ELEMENTARY PARTICLES; FIELD OPERATORS; FORM FACTORS; HAMILTONIANS; INTEGRAL EQUATIONS; MANY-BODY PROBLEM; MATRIX ELEMENTS; NONLINEAR PROBLEMS; QUANTUM CHROMODYNAMICS

### Citation Formats

```
Hiller, J. R.
```*A nonperturbative light-front coupled-cluster method*. United States: N. p., 2012.
Web. doi:10.1063/1.4763515.

```
Hiller, J. R.
```*A nonperturbative light-front coupled-cluster method*. United States. doi:10.1063/1.4763515.

```
Hiller, J. R. Tue .
"A nonperturbative light-front coupled-cluster method". United States. doi:10.1063/1.4763515.
```

```
@article{osti_22075664,
```

title = {A nonperturbative light-front coupled-cluster method},

author = {Hiller, J. R.},

abstractNote = {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 standard coupled-cluster theory, to obtain form factors and other observables.},

doi = {10.1063/1.4763515},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 1492,

place = {United States},

year = {2012},

month = {10}

}