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Hamiltonian simulation of the Schwinger model at finite temperature

Boye Buyens (UGent) , Frank Verstraete (UGent) and Karel Van Acoleyen (UGent)
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Abstract
Using Matrix Product Operators (MPO) the Schwinger model is simulated in thermal equilibrium. The variational manifold of gauge invariant MPO is constructed to represent Gibbs states. As a first application the chiral condensate in thermal equilibrium is computed and agreement with earlier studies is found. Furthermore, as a new application the Schwinger model is probed with a fractional charged static quark-antiquark pair separated infinitely far from each other. A critical temperature beyond which the string tension is exponentially suppressed is found, which is in qualitative agreement with analytical studies in the strong coupling limit. Finally, the CT symmetry breaking is investigated and our results strongly suggest that the symmetry is restored at any nonzero temperature.
Keywords
DENSITY, INVARIANCE, QCD, MASS, FORMULATION, MATRIX PRODUCT STATES, SYMMETRY-BREAKING, QUARK CONFINEMENT, ENTANGLED PAIR STATES, LATTICE GAUGE-THEORIES

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Citation

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

Chicago
Buyens, Boye, Frank Verstraete, and Karel Van Acoleyen. 2016. “Hamiltonian Simulation of the Schwinger Model at Finite Temperature.” Physical Review D 94.
APA
Buyens, B., Verstraete, F., & Van Acoleyen, K. (2016). Hamiltonian simulation of the Schwinger model at finite temperature. PHYSICAL REVIEW D, 94.
Vancouver
1.
Buyens B, Verstraete F, Van Acoleyen K. Hamiltonian simulation of the Schwinger model at finite temperature. PHYSICAL REVIEW D. 2016;94.
MLA
Buyens, Boye, Frank Verstraete, and Karel Van Acoleyen. “Hamiltonian Simulation of the Schwinger Model at Finite Temperature.” PHYSICAL REVIEW D 94 (2016): n. pag. Print.
@article{8124552,
  abstract     = {Using Matrix Product Operators (MPO) the Schwinger model is simulated in thermal equilibrium. The variational manifold of gauge invariant MPO is constructed to represent Gibbs states. As a first application the chiral condensate in thermal equilibrium is computed and agreement with earlier studies is found. Furthermore, as a new application the Schwinger model is probed with a fractional charged static quark-antiquark pair separated infinitely far from each other. A critical temperature beyond which the string tension is exponentially suppressed is found, which is in qualitative agreement with analytical studies in the strong coupling limit. Finally, the CT symmetry breaking is investigated and our results strongly suggest that the symmetry is restored at any nonzero temperature.},
  articleno    = {085018},
  author       = {Buyens, Boye and Verstraete, Frank and Van Acoleyen, Karel},
  issn         = {2470-0010},
  journal      = {PHYSICAL REVIEW D},
  keyword      = {DENSITY,INVARIANCE,QCD,MASS,FORMULATION,MATRIX PRODUCT STATES,SYMMETRY-BREAKING,QUARK CONFINEMENT,ENTANGLED PAIR STATES,LATTICE GAUGE-THEORIES},
  language     = {eng},
  pages        = {33},
  title        = {Hamiltonian simulation of the Schwinger model at finite temperature},
  url          = {http://dx.doi.org/10.1103/PhysRevD.94.085018},
  volume       = {94},
  year         = {2016},
}

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