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Confinement and string breaking for QED2 in the Hamiltonian picture

Boye Buyens (UGent) , Jutho Haegeman (UGent) , Henri Verschelde (UGent) , Frank Verstraete (UGent) and Karel Van Acoleyen (UGent)
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Abstract
The formalism of matrix product states is used to perform a numerical study of (1 + 1)-dimensional QED—also known as the (massive) Schwinger model—in the presence of an external static “quark” and “antiquark”. We obtain a detailed picture of the transition from the confining state at short interquark distances to the broken-string “hadronized” state at large distances, and this for a wide range of couplings, recovering the predicted behavior both in the weak- and strong-coupling limit of the continuum theory. In addition to the relevant local observables like charge and electric field, we compute the (bipartite) entanglement entropy and show that subtraction of its vacuum value results in a UV-finite quantity. We find that both string formation and string breaking leave a clear imprint on the resulting entropy profile. Finally, we also study the case of fractional probe charges, simulating for the first time the phenomenon of partial string breaking.
Keywords
LATTICE GAUGE-THEORY, MASSIVE SCHWINGER MODEL, ENTANGLED PAIR STATES, MATRIX PRODUCT STATES, ROTATIONAL SYMMETRY, QUARK CONFINEMENT, QCD, FORMULATION, SIMULATION, ENTROPY

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Please use this url to cite or link to this publication:

Chicago
Buyens, Boye, Jutho Haegeman, Henri Verschelde, Frank Verstraete, and Karel Van Acoleyen. 2016. “Confinement and String Breaking for QED2 in the Hamiltonian Picture.” Physical Review X 6 (4).
APA
Buyens, B., Haegeman, J., Verschelde, H., Verstraete, F., & Van Acoleyen, K. (2016). Confinement and string breaking for QED2 in the Hamiltonian picture. PHYSICAL REVIEW X, 6(4).
Vancouver
1.
Buyens B, Haegeman J, Verschelde H, Verstraete F, Van Acoleyen K. Confinement and string breaking for QED2 in the Hamiltonian picture. PHYSICAL REVIEW X. 2016;6(4).
MLA
Buyens, Boye, Jutho Haegeman, Henri Verschelde, et al. “Confinement and String Breaking for QED2 in the Hamiltonian Picture.” PHYSICAL REVIEW X 6.4 (2016): n. pag. Print.
@article{8171736,
  abstract     = {The formalism of matrix product states is used to perform a numerical study of (1 + 1)-dimensional QED---also known as the (massive) Schwinger model---in the presence of an external static {\textquotedblleft}quark{\textquotedblright} and {\textquotedblleft}antiquark{\textquotedblright}. We obtain a detailed picture of the transition from the confining state at short interquark distances to the broken-string {\textquotedblleft}hadronized{\textquotedblright} state at large distances, and this for a wide range of couplings, recovering the predicted behavior both in the weak- and strong-coupling limit of the continuum theory. In addition to the relevant local observables like charge and electric field, we compute the (bipartite) entanglement entropy and show that subtraction of its vacuum value results in a UV-finite quantity. We find that both string formation and string breaking leave a clear imprint on the resulting entropy profile. Finally, we also study the case of fractional probe charges, simulating for the first time the phenomenon of partial string breaking.},
  articleno    = {041040},
  author       = {Buyens, Boye and Haegeman, Jutho and Verschelde, Henri and Verstraete, Frank and Van Acoleyen, Karel},
  issn         = {2160-3308},
  journal      = {PHYSICAL REVIEW X},
  keyword      = {LATTICE GAUGE-THEORY,MASSIVE SCHWINGER MODEL,ENTANGLED PAIR STATES,MATRIX PRODUCT STATES,ROTATIONAL SYMMETRY,QUARK CONFINEMENT,QCD,FORMULATION,SIMULATION,ENTROPY},
  language     = {eng},
  number       = {4},
  pages        = {32},
  title        = {Confinement and string breaking for QED2 in the Hamiltonian picture},
  url          = {http://dx.doi.org/10.1103/PhysRevX.6.041040},
  volume       = {6},
  year         = {2016},
}

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