%0 Journal Article %1 DiVecchia1984478 %A Vecchia, P. Di %A Musto, R. %A Nicodemi, F. %A Pettorino, R. %A Rossi, P. %D 1984 %J Nuclear Physics B %K CPN LargeN Lattice MeanField SigmaModel %N 4 %P 478 - 520 %R DOI: 10.1016/0550-3213(84)90493-0 %T The transition from the lattice to the continuum: CPN-1 models at large N %U http://www.sciencedirect.com/science/article/B6TVC-4719TK5-2GD/2/e626e5f822d1842bdcf221fd31eafff1 %V 235 %X We study in detail the large N solution for the CPN-1 models on a euclidean lattice and their phase structure in D dimensions. In the two-dimensional case, we evaluate some physical quantities and discuss their behaviour in the continuum limit. In particular, for the internal energy, we found the analytic expression for the perturbative tail which, at large beta, obscures the predicted renormalization group behaviour; such a tail, which, as we show, is reproduced by a mean field calculation at N=infinity, must be subtracted in order to define a suitable scaling quantity. We also investigated the behaviour of the topological charge and we found no perturbative tail in agreement with previous Lüscher's results. Finally, some aspects of the supersymmetric case are discussed.

@article{DiVecchia1984478, abstract = {We study in detail the large N solution for the CPN-1 models on a euclidean lattice and their phase structure in D dimensions. In the two-dimensional case, we evaluate some physical quantities and discuss their behaviour in the continuum limit. In particular, for the internal energy, we found the analytic expression for the perturbative tail which, at large [beta], obscures the predicted renormalization group behaviour; such a tail, which, as we show, is reproduced by a mean field calculation at N=[infinity], must be subtracted in order to define a suitable scaling quantity. We also investigated the behaviour of the topological charge and we found no perturbative tail in agreement with previous Lüscher's results. Finally, some aspects of the supersymmetric case are discussed.}, added-at = {2009-03-05T19:26:53.000+0100}, author = {Vecchia, P. Di and Musto, R. and Nicodemi, F. and Pettorino, R. and Rossi, P.}, biburl = {https://www.bibsonomy.org/bibtex/28c3867b97887b48c4cf64ef124576be2/gber}, description = {ScienceDirect - Nuclear Physics B : The transition from the lattice to the continuum: CPN−1 models at large N}, doi = {DOI: 10.1016/0550-3213(84)90493-0}, interhash = {95d5b53cf7155205e6c07449c931c1c4}, intrahash = {8c3867b97887b48c4cf64ef124576be2}, issn = {0550-3213}, journal = {Nuclear Physics B}, keywords = {CPN LargeN Lattice MeanField SigmaModel}, number = 4, pages = {478 - 520}, timestamp = {2009-03-11T17:32:52.000+0100}, title = {The transition from the lattice to the continuum: CPN-1 models at large N}, url = {http://www.sciencedirect.com/science/article/B6TVC-4719TK5-2GD/2/e626e5f822d1842bdcf221fd31eafff1}, volume = 235, year = 1984 }