List of Symbols and Abbreviations#

DMRG Density Matrix Renormalization Group LGT Lattice Gauge Theories MF Mean Field MPO Matrix Product Operator MPS Matrix Product State RG Renormalization Group SVD Singular Value Decomposition TN Tensor Networks TTN Tree Tensor Network $\alpha_{j}$ Index for local basis $\beta$ Spontaneous magnetization $\beta_{T}$ Inverse temperature $1 / k_{B} T$ $D$ System dimensionality $d$ Local Hilbert space dimension $\eta$ Anomalous dimension $c$ Correlations $_ \mathrm{H}$ Hamiltonian $k_{B}$ Boltzmann constant $\lambda$ Matrix eigenvalue $m$ Auxiliary bond dimension $N$ Problem dimension or number of lattice sites $\nu$ correlation length divergence exponent $O ( . )$ Order of approximation $\psi$ Wave function $\rho$ Density matrix $\mathsf{S}$ Entropy $\hat{S}$ Spin operator $T$ System temperature $\mathbf{Z}$ Dynamical-scaling exponent