Applying the Variational Principle to (1+1)-Dimensional Quantum Field Theories

Autor(en)

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

Abstrakt

We extend the recently introduced continuous matrix product state 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 application of the variational procedure 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 of fermion doubling and sign problems. We illustrate the power of the formalism by studying the momentum occupation for free massive Dirac fermions and the chiral symmetry breaking in the Gross-Neveu model.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Ghent University , Max-Planck-Institut für Quantenoptik, Wissenschaftskolleg zu Berlin

Journal

Physical Review Letters

Band

105

Anzahl der Seiten

4

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.105.251601

Publikationsdatum

12-2010

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/b2428d9a-338b-41cd-9140-2c31f19f3a73