Applying the variational principle to (1+1) dimensional relativistic quantum field theories

Research output: Contribution to journal › Conference article › Research › peer review

Authors

  • Jutho Haegeman
  • J. Ignacio Cirac
  • Tobias J. Osborne
  • Henri Verschelde
  • Frank Verstraete

Research Organisations

External Research Organisations

  • Ghent University
  • Max Planck Institute of Quantum Optics (MPQ)
  • Institute for Advanced Study in Berlin
  • University of Vienna
View graph of relations

Details

Original languageEnglish
JournalProceedings of Science
Publication statusPublished - 2010
EventWorkshop on the Many Faces of QCD, FacesQCD 2010 - Gent, Belgium
Duration: 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 subject areas

Cite this

Applying the variational principle to (1+1) dimensional relativistic quantum field theories. / Haegeman, Jutho; Cirac, J. Ignacio; Osborne, Tobias J. et al.
In: Proceedings of Science, 2010.

Research output: Contribution to journal › Conference article › Research › peer review

Haegeman, J, Cirac, JI, Osborne, TJ, Verschelde, H & Verstraete, F 2010, 'Applying the variational principle to (1+1) dimensional relativistic quantum field theories', Proceedings of Science.
Haegeman, J., Cirac, J. I., Osborne, T. J., Verschelde, H., & Verstraete, F. (2010). Applying the variational principle to (1+1) dimensional relativistic quantum field theories. Proceedings of Science.
Haegeman J, Cirac JI, Osborne TJ, Verschelde H, Verstraete F. Applying the variational principle to (1+1) dimensional relativistic quantum field theories. Proceedings of Science. 2010.
Haegeman, Jutho ; Cirac, J. Ignacio ; Osborne, Tobias J. et al. / Applying the variational principle to (1+1) dimensional relativistic quantum field theories. In: Proceedings of Science. 2010.
Download
@article{cf380f91f3cb46eea3abe133af24f909,
title = "Applying the variational principle to (1+1) dimensional relativistic quantum field theories",
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.",
author = "Jutho Haegeman and Cirac, {J. Ignacio} and Osborne, {Tobias J.} and Henri Verschelde and Frank Verstraete",
year = "2010",
language = "English",
note = "Workshop on the Many Faces of QCD, FacesQCD 2010 ; Conference date: 01-11-2010 Through 05-11-2010",

}

Download

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 -