Journal of High Energy Physics

, 2013:158

The mass spectrum of the Schwinger model with matrix product states

Open Access

DOI: 10.1007/JHEP11(2013)158

Cite this article as:
Bañuls, M., Cichy, K., Cirac, J. et al. J. High Energ. Phys. (2013) 2013: 158. doi:10.1007/JHEP11(2013)158


We show the feasibility of tensor network solutions for lattice gauge theories in Hamiltonian formulation by applying matrix product states algorithms to the Schwinger model with zero and non-vanishing fermion mass. We introduce new techniques to compute excitations in a system with open boundary conditions, and to identify the states corresponding to low momentum and different quantum numbers in the continuum. For the ground state and both the vector and scalar mass gaps in the massive case, the MPS technique attains precisions comparable to the best results available from other techniques.


Field Theories in Lower Dimensions Lattice Gauge Field Theories 
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© SISSA 2013

Authors and Affiliations

  • M.C. Bañuls
    • 1
  • K. Cichy
    • 2
    • 3
  • J.I. Cirac
    • 1
  • K. Jansen
    • 2
    • 4
  1. 1.Max-Planck-Institut für QuantenoptikGarchingGermany
  2. 2.NIC, DESY ZeuthenZeuthenGermany
  3. 3.Faculty of PhysicsAdam Mickiewicz UniversityPoznanPoland
  4. 4.Department of PhysicsUniversity of CyprusNicosiaCyprus

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