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

(2017) PHYSICAL REVIEW D. 95(9).- abstract
- 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.

Please use this url to cite or link to this publication:
http://hdl.handle.net/1854/LU-8521403

- author
- Boye Buyens, Simone Montangero, Jutho Haegeman UGent, Frank Verstraete UGent and Karel Van Acoleyen UGent
- organization
- year
- 2017
- type
- journalArticle (original)
- publication status
- published
- subject
- keyword
- MASSIVE SCHWINGER MODEL, DENSITY-MATRIX RENORMALIZATION, ENTANGLED PAIR STATES, QUARK CONFINEMENT, HAMILTONIAN-FORMULATION, PRODUCT STATES, LIQUID-HELIUM, CHARGE, TEMPERATURE, FIELD
- journal title
- PHYSICAL REVIEW D
- Phys. Rev. D
- volume
- 95
- issue
- 9
- article number
- 094509
- pages
- 23 pages
- Web of Science type
- Article
- Web of Science id
- 000402009000002
- ISSN
- 2470-0010
- DOI
- 10.1103/PhysRevD.95.094509
- project
- QUTE (Quantum Tensor Networks and Entanglement)
- project
- ERQUAF (Entanglement and Renormalisation for Quantum Fields)
- language
- English
- UGent publication?
- yes
- classification
- A1
- copyright statement
*I have transferred the copyright for this publication to the publisher*- id
- 8521403
- handle
- http://hdl.handle.net/1854/LU-8521403
- date created
- 2017-05-27 05:16:58
- date last changed
- 2018-06-14 08:03:34

@article{8521403, abstract = {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.}, articleno = {094509}, author = {Buyens, Boye and Montangero, Simone and Haegeman, Jutho and Verstraete, Frank and Van Acoleyen, Karel}, issn = {2470-0010}, journal = {PHYSICAL REVIEW D}, keyword = {MASSIVE SCHWINGER MODEL,DENSITY-MATRIX RENORMALIZATION,ENTANGLED PAIR STATES,QUARK CONFINEMENT,HAMILTONIAN-FORMULATION,PRODUCT STATES,LIQUID-HELIUM,CHARGE,TEMPERATURE,FIELD}, language = {eng}, number = {9}, pages = {23}, title = {Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks}, url = {http://dx.doi.org/10.1103/PhysRevD.95.094509}, volume = {95}, year = {2017}, }

- Chicago
- Buyens, Boye, Simone Montangero, Jutho Haegeman, Frank Verstraete, and Karel Van Acoleyen. 2017. “Finite-representation Approximation of Lattice Gauge Theories at the Continuum Limit with Tensor Networks.”
*Physical Review D*95 (9). - APA
- Buyens, B., Montangero, S., Haegeman, J., Verstraete, F., & Van Acoleyen, K. (2017). Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks.
*PHYSICAL REVIEW D*,*95*(9). - Vancouver
- 1.Buyens B, Montangero S, Haegeman J, Verstraete F, Van Acoleyen K. Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks. PHYSICAL REVIEW D. 2017;95(9).
- MLA
- Buyens, Boye, Simone Montangero, Jutho Haegeman, et al. “Finite-representation Approximation of Lattice Gauge Theories at the Continuum Limit with Tensor Networks.”
*PHYSICAL REVIEW D*95.9 (2017): n. pag. Print.