A general method for calculating lattice green functions on the branch cut
From MaRDI portal
Publication:4589375
DOI10.1088/1751-8121/aa85f6zbMath1378.82026arXiv1706.03083OpenAlexW2626906679MaRDI QIDQ4589375
Publication date: 10 November 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.03083
combinatoricsresolventChebyshev serieswalkshypergeometriclattice Green functionvan Hove singularities
Best approximation, Chebyshev systems (41A50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items
Cites Work
- Unnamed Item
- A fast approach to creative telescoping
- Accurate evaluation of the cubic lattice Green functions using binomial expansion theorems
- A holonomic systems approach to special functions identities
- Coordinate space methods for the evaluation of Feynman diagrams in lattice field theories
- Kernel polynomial approximations for densities of states and spectral functions
- Critical line of the \(\Phi^4\) theory on a simple cubic lattice in the local potential approximation
- Exact evaluation of the Green function for the anisotropic simple cubic lattice
- Evaluation of the Watson integral and associated logarithmic integral for thed-dimensional hypercubic lattice
- Accurate calculation of Green functions on thed-dimensional hypercubic lattice
- Logarithmic two-point correlators in the Abelian sandpile model
- Elliptic integral evaluations of Bessel moments and applications
- Lattice Green's functions in all dimensions
- On computing the square lattice Green's function without any integrations
- Statistical Field Theory
- On the cubic lattice Green functions
- Singular behaviour of the lattice Green function for thed-dimensional hypercubic lattice
- Exact evaluation of the simple cubic lattice Green function for a general lattice point
- Series expansions for lattice Green functions
- Accurate calculation of off-diagonal Green functions on anisotropic hypercubic lattices
- Lattice Green functions of the higher-dimensional face-centered cubic lattices
- Lattice Green's Function for the Body-Centered Cubic Lattice
- Efficient computation of lattice Green functions for models with longer range hopping
- Calculation of the Lattice Green's Function for the bcc, fcc, and Rectangular Lattices