%0 Journal Article %1 Goeckeler1994Scattering %A Goeckeler, M. %A Kastrup, H. A. %A Westphalen, J. %A Zimmermann, F. %D 1994 %K lattice, resonance %T Scattering phases on finite lattices in the broken phase of the four-dimensional O(4)-\phi^4 theory %U http://arxiv.org/abs/hep-lat/9402011 %X According to a proposal of Luescher it is possible to determine elastic scattering phases in infinite volume from the energy spectrum of two-particle states in a periodic box. We demonstrate the applicability of this method in the broken phase of the four-dimensional O(4) non-linear sigma-model in a Monte Carlo study on finite lattices. This non-perturbative approach also permits the study of unstable particles, the sigma-particle in our case. We observe the sigma-resonance and extract its mass and width. In all scattering channels investigated the results are completely consistent with perturbative calculations.

@article{Goeckeler1994Scattering, abstract = {{According to a proposal of Luescher it is possible to determine elastic scattering phases in infinite volume from the energy spectrum of two-particle states in a periodic box. We demonstrate the applicability of this method in the broken phase of the four-dimensional O(4) non-linear sigma-model in a Monte Carlo study on finite lattices. This non-perturbative approach also permits the study of unstable particles, the sigma-particle in our case. We observe the sigma-resonance and extract its mass and width. In all scattering channels investigated the results are completely consistent with perturbative calculations.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Goeckeler, M. and Kastrup, H. A. and Westphalen, J. and Zimmermann, F.}, biburl = {https://www.bibsonomy.org/bibtex/288adeb95df10a1fee3153e921587c9cf/cmcneile}, citeulike-article-id = {5260362}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-lat/9402011}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-lat/9402011}, day = 15, eprint = {hep-lat/9402011}, interhash = {565d07c374be1ee594263fbc1293b160}, intrahash = {88adeb95df10a1fee3153e921587c9cf}, keywords = {lattice, resonance}, month = feb, posted-at = {2009-07-25 12:06:21}, priority = {0}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Scattering phases on finite lattices in the broken phase of the four-dimensional O(4)-\phi^4 theory}}, url = {http://arxiv.org/abs/hep-lat/9402011}, year = 1994 }