%0 Journal Article %1 Lüscher1990222 %A Lüscher, Martin %A Wolff, Ulli %D 1990 %J Nuclear Physics B %K d=2 excited_states spectroscopy %N 1 %P 222 - 252 %R DOI: 10.1016/0550-3213(90)90540-T %T How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation %U http://www.sciencedirect.com/science/article/B6TVC-4719HH2-C1/2/86325a5e828837efbaa5326950ce4640 %V 339 %X A method to calculate the elastic scattering amplitude at low energies in two-dimensional quantum field theories is proposed and tested in a numerical simulation of the O(3) non-linear sigma-model on a simple square lattice. We also compute the isospin current form factor in this model and compare our results with the known exact expressions for the S-matrix and the form factor in the continuum limit. As a technical improvement, we introduce a two-cluster simulation algorithm which leads to significantly reduced statistical errors in the calculation of four-point correlation functions.

@article{Lüscher1990222, abstract = {A method to calculate the elastic scattering amplitude at low energies in two-dimensional quantum field theories is proposed and tested in a numerical simulation of the O(3) non-linear [sigma]-model on a simple square lattice. We also compute the isospin current form factor in this model and compare our results with the known exact expressions for the S-matrix and the form factor in the continuum limit. As a technical improvement, we introduce a two-cluster simulation algorithm which leads to significantly reduced statistical errors in the calculation of four-point correlation functions.}, added-at = {2009-05-26T13:29:46.000+0200}, author = {Lüscher, Martin and Wolff, Ulli}, biburl = {https://www.bibsonomy.org/bibtex/2762cd51b849e41585dae86da8bcb87aa/tobias_qft_tpi}, description = {ScienceDirect - Nuclear Physics B : How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation}, doi = {DOI: 10.1016/0550-3213(90)90540-T}, interhash = {d281bc7da3d4adda5cbad8debb6d9b3a}, intrahash = {762cd51b849e41585dae86da8bcb87aa}, issn = {0550-3213}, journal = {Nuclear Physics B}, keywords = {d=2 excited_states spectroscopy}, number = 1, pages = {222 - 252}, timestamp = {2009-05-26T13:29:46.000+0200}, title = {How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation}, url = {http://www.sciencedirect.com/science/article/B6TVC-4719HH2-C1/2/86325a5e828837efbaa5326950ce4640}, volume = 339, year = 1990 }