The Quest for Localization


León García, J.J. (2012). The Quest for Localization. Perimeter Institute. https://pirsa.org/12060044


León García, Juan José. The Quest for Localization. Perimeter Institute, Jun. 25, 2012, https://pirsa.org/12060044


          @misc{ pirsa_PIRSA:12060044,
            doi = {10.48660/12060044},
            url = {https://pirsa.org/12060044},
            author = {Le{\'o}n Garc{\'\i}a, Juan Jos{\'e}},
            keywords = {},
            language = {en},
            title = {The Quest for Localization},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {jun},
            note = {PIRSA:12060044 see, \url{https://pirsa.org}}

Juan José León García Instituto de Física Fundamental (IFF - CSIC)


This talk aims to review the obstacles met in QFT to reach an appropriate definition for such a basic concept as localization. The anti-local character of the square root of the "- Laplace-Beltrami + mass^2" operator prevents the existence of localized states with a finite number of quanta. (Bosonic) quantum fields describe elementary excitations of an extended system whose ground state is the vacuum. No wonder, there is a complicated relationship between the cardinal (quantal) and continuous (spatial) sides of the theory. We will also analyze the roles (if any) played in RQI by the localized excitations of the vacuum.