Studying a relativistic field theory at finite chemical potential with the density matrix renormalization group

Abstract

The density matrix renormalization group is applied to a relativistic complex scalar field at finite chemical potential. The two-point function and various bulk quantities are studied. It is seen that bulk quantities do not change with the chemical potential until it is larger than the minimum excitation energy. The technical limitations of the density matrix renormalization group for treating bosons in relativistic field theories are discussed. Applications to other relativistic models and to nontopological solitons are also suggested.

9 pages, 5 figures; v2: title changed; references added, conclusions expanded, to be published in PRD

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Cited by in corpus (8)

• The mass spectrum of the Schwinger model with Matrix Product States
• Matrix product states and variational methods applied to critical quantum field theory
• Holographic quantum states
• Applying the variational principle to (1+1)-dimensional quantum field theories
• Topological Defects in Quantum Field Theory with Matrix Product States
• The Kibble Zurek Mechanism of Topological Defect Formation in Quantum Field Theory with Matrix Product States
• Lattice regularisation and entanglement structure of the Gross-Neveu model
• Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems