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Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks

Autor(en)
Boye Buyens, Simone Montangero, Jutho Haegeman, Frank Verstraete, Karel Van Acoleyen
Abstrakt

It has been established that matrix product states can be used to compute the ground state and single-particle excitations and their properties of lattice gauge theories at the continuum limit. However, by construction, in this formalism the Hilbert space of the gauge fields is truncated to a finite number of irreducible representations of the gauge group. We investigate quantitatively the influence of the truncation of the infinite number of representations in the Schwinger model, one-flavor QED 2, with a uniform electric background field. We compute the two-site reduced density matrix of the ground state and the weight of each of the representations. We find that this weight decays exponentially with the quadratic Casimir invariant of the representation which justifies the approach of truncating the Hilbert space of the gauge fields. Finally, we compute the single-particle spectrum of the model as a function of the electric background field.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Externe Organisation(en)
Ghent University , Universität Ulm, Universität des Saarlandes
Journal
Physical Review D
Band
95
Anzahl der Seiten
23
ISSN
1550-7998
DOI
https://doi.org/10.1103/PhysRevD.95.094509
Publikationsdatum
05-2017
Peer-reviewed
Ja
ÖFOS 2012
103025 Quantenmechanik, 103012 Hochenergiephysik
Schlagwörter
ASJC Scopus Sachgebiete
Nuclear and High Energy Physics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/a29249c6-7450-474c-a4a2-b434c2d269a2