Abstract
We use the light-front coupled-cluster (LFCC) method to compute the odd-parity massive eigenstate of \({\phi_{1+1}^4}\) theory. A standard Fock-space truncation of the eigenstate yields a finite set of linear equations for a finite number of wave functions. The LFCC method replaces Fock-space truncation with a more sophisticated truncation; the eigenvalue problem is reduced to a finite set of nonlinear equations without any restriction on Fock space, but with restrictions on the Fock wave functions. We compare our results with those obtained with a Fock-space truncation.
Similar content being viewed by others
References
Burkardt M.: Light front quantization. Adv. Nucl. Phys. 23, 1–74 (2002)
Brodsky S.J., Pauli H-C., Pinsky S.S.: Quantum chromodynamics and other field theories on the light cone. Phys. Rep. 301, 299–486 (1998)
Chabysheva S.S., Hiller J.R.: A light-front coupled-cluster method for the nonperturbative solution of quantum field theories. Phys. Lett. B 711, 417–422 (2012)
Elliott B., Chabysheva S.S., Hiller J.R.: Application of the light-front coupled-cluster method to φ 4 theory in two dimensions. Phys. Rev. D 90, 056003 (2014)
Dirac P.A.M.: Forms of relativistic dynamics. Rev. Mod. Phys. 21, 392–399 (1949)
Perry R.J., Harindranath A., Wilson K.G.: Light front Tamm–Dancoff field theory. Phys. Rev. Lett. 65, 2959–2962 (1990)
Perry R.J., Harindranath A.: Renormalization in the light front Tamm-Dancoff approach to field theory. Phys. Rev. D 43, 4051–4073 (1991)
Hiller J.R., Brodsky S.J.: Nonperturbative renormalization and the electron’s anomalous moment in large-α QED. Phys. Rev. D 59, 016006 (1998)
Karmanov V.A., Mathiot J.-F., Smirnov A.V.: Systematic renormalization scheme in light-front dynamics with Fock space truncation. Phys. Rev. D 77, 085028 (2008)
Karmanov V.A., Mathiot J.-F., Smirnov A.V.: Nonperturbative calculation of the anomalous magnetic moment in the Yukawa model within truncated Fock space. Phys. Rev. D 82, 056010 (2010)
Chabysheva S.S., Hiller J.R.: On the nonperturbative solution of Pauli–Villars regulated light-front QED: A comparison of the sector-dependent and standard parameterizations. Ann. Phys. 325, 2435–2450 (2010)
Chabysheva S.S., Elliott B., Hiller J.R.: Symmetric multivariate polynomials as a basis for three-boson light-front wave functions. Phys. Rev. E 88, 063307 (2013)
Chabysheva S.S., Hiller J.R.: Zero modes in the light-front coupled-cluster method. Ann. Phys. 340, 188–204 (2014)
Author information
Authors and Affiliations
Corresponding author
Additional information
Work done in collaboration with B. Elliott and J. R. Hiller and supported in part by the US Department of Energy and the Minnesota Supercomputing Institute.
Rights and permissions
About this article
Cite this article
Chabysheva, S.S. The Light-Front Coupled-Cluster Method Applied to \({\phi_{1+1}^4}\) Theory. Few-Body Syst 56, 401–406 (2015). https://doi.org/10.1007/s00601-014-0930-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00601-014-0930-3