The mass spectrum of the Schwinger model with matrix product states

A bstract 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 b...

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Bibliographic Details
Published in:The journal of high energy physics 2013-11, Vol.2013 (11), p.1-21, Article 158
Main Authors: Bañuls, M.C., Cichy, K., Cirac, J.I., Jansen, K.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Continuums
Elementary Particles
Feasibility
Fermions
High energy physics
Lattices
Mathematical analysis
Mathematical models
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Scalars
String Theory
Vectors (mathematics)
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2013)158