Details
| Originalsprache | Englisch |
|---|---|
| Fachzeitschrift | Proceedings of Science |
| Publikationsstatus | Veröffentlicht - 2010 |
| Veranstaltung | Workshop on the Many Faces of QCD, FacesQCD 2010 - Gent, Belgien Dauer: 1 Nov. 2010 → 5 Nov. 2010 |
Abstract
We extend the recently introduced continuous matrix product state (cMPS) variational class to the setting of (1+1)-dimensional relativistic quantum field theories. This allows one to overcome the difficulties highlighted by Feynman concerning the variational procedure applied to relativistic theories, and provides a new way to regularize quantum field theories. A fermionic version of the continuous matrix product state is introduced which is manifestly free from fermion doubling and sign problems. We illustrate the power of the formalism with the simulation of free massive Dirac fermions, the Gross-Neveu model, and the Casimir effect. We find that cMPS can capture chiral symmetry breaking with absolute scaling of the chiral parameter, and that boundary effects can be accommodated with modest computational effort.
ASJC Scopus Sachgebiete
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: Proceedings of Science, 2010.
Publikation: Beitrag in Fachzeitschrift › Konferenzaufsatz in Fachzeitschrift › Forschung › Peer-Review
}
TY - JOUR
T1 - Applying the variational principle to (1+1) dimensional relativistic quantum field theories
AU - Haegeman, Jutho
AU - Cirac, J. Ignacio
AU - Osborne, Tobias J.
AU - Verschelde, Henri
AU - Verstraete, Frank
PY - 2010
Y1 - 2010
N2 - We extend the recently introduced continuous matrix product state (cMPS) variational class to the setting of (1+1)-dimensional relativistic quantum field theories. This allows one to overcome the difficulties highlighted by Feynman concerning the variational procedure applied to relativistic theories, and provides a new way to regularize quantum field theories. A fermionic version of the continuous matrix product state is introduced which is manifestly free from fermion doubling and sign problems. We illustrate the power of the formalism with the simulation of free massive Dirac fermions, the Gross-Neveu model, and the Casimir effect. We find that cMPS can capture chiral symmetry breaking with absolute scaling of the chiral parameter, and that boundary effects can be accommodated with modest computational effort.
AB - We extend the recently introduced continuous matrix product state (cMPS) variational class to the setting of (1+1)-dimensional relativistic quantum field theories. This allows one to overcome the difficulties highlighted by Feynman concerning the variational procedure applied to relativistic theories, and provides a new way to regularize quantum field theories. A fermionic version of the continuous matrix product state is introduced which is manifestly free from fermion doubling and sign problems. We illustrate the power of the formalism with the simulation of free massive Dirac fermions, the Gross-Neveu model, and the Casimir effect. We find that cMPS can capture chiral symmetry breaking with absolute scaling of the chiral parameter, and that boundary effects can be accommodated with modest computational effort.
UR - http://www.scopus.com/inward/record.url?scp=84887440803&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:84887440803
JO - Proceedings of Science
JF - Proceedings of Science
T2 - Workshop on the Many Faces of QCD, FacesQCD 2010
Y2 - 1 November 2010 through 5 November 2010
ER -