Finiterepresentation approximation of lattice gauge theories at the continuum limit with tensor networks
 Author
 Boye Buyens (UGent) , Simone Montangero, Jutho Haegeman (UGent) , Frank Verstraete (UGent) and Karel Van Acoleyen (UGent)
 Organization
 Project
 QUTE (Quantum Tensor Networks and Entanglement)
 Project
 ERQUAF (Entanglement and Renormalisation for Quantum Fields)
 Abstract
 It has been established that matrix product states can be used to compute the ground state and singleparticle 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, oneflavor QED 2, with a uniform electric background field. We compute the twosite 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 singleparticle spectrum of the model as a function of the electric background field.
 Keywords
 MASSIVE SCHWINGER MODEL, DENSITYMATRIX RENORMALIZATION, ENTANGLED PAIR STATES, QUARK CONFINEMENT, HAMILTONIANFORMULATION, PRODUCT STATES, LIQUIDHELIUM, CHARGE, TEMPERATURE, FIELD
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU8521403
 Chicago
 Buyens, Boye, Simone Montangero, Jutho Haegeman, Frank Verstraete, and Karel Van Acoleyen. 2017. “Finiterepresentation 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). Finiterepresentation 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. Finiterepresentation 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. “Finiterepresentation Approximation of Lattice Gauge Theories at the Continuum Limit with Tensor Networks.” PHYSICAL REVIEW D 95.9 (2017): n. pag. Print.
@article{8521403, abstract = {It has been established that matrix product states can be used to compute the ground state and singleparticle 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, oneflavor QED 2, with a uniform electric background field. We compute the twosite 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 singleparticle 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 = {24700010}, journal = {PHYSICAL REVIEW D}, keyword = {MASSIVE SCHWINGER MODEL,DENSITYMATRIX RENORMALIZATION,ENTANGLED PAIR STATES,QUARK CONFINEMENT,HAMILTONIANFORMULATION,PRODUCT STATES,LIQUIDHELIUM,CHARGE,TEMPERATURE,FIELD}, language = {eng}, number = {9}, pages = {23}, title = {Finiterepresentation 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}, }
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