62006 20170907131843.0 doi 10.1016/j.nuclphysb.2010.11.004 sideral 72550 ART-2011-72550 eng Aguado, M. Theta-vacuum and large N limit in CPN-1 models 2011 Access copy available to the general public Unrestricted The ¿ dependence of the vacuum energy density in models is re-analysed in the semiclassical approach, the expansion and arguments based on the nodal structure of vacuum wavefunctionals. The expansion is shown not to be in contradiction with instanton physics at finite (spacetime) volume V. The interplay of large volume V and large N parameter gives rise to two regimes with different ¿ dependence, one behaving as a dilute instanton gas and the other dominated by the traditional large N picture, where instantons reappear as resonances of the one-loop effective action, even in the absence of regular instantonic solutions. The realms of the two regimes are given in terms of the mass gap m by and , respectively. The small volume regime is relevant for physical effects associated to the physics of the boundary, like the leading rôle of edge states in the quantum Hall effect, which, however, do not play any rôle in the thermodynamic limit at large N. Depending on the order in which the limits and are taken, two different theories are obtained; this is the hallmark of a phase transition at . info:eu-repo/grantAgreement/ES/DGA/E24-2 info:eu-repo/grantAgreement/ES/MICINN/FPA2009-09638 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 4.661 2011 PHYSICS, PARTICLES & FIELDS 5 / 27 = 0.185 2011 Q1 T1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion (orcid)0000-0003-3669-6241 Asorey, M. Universidad de Zaragoza 2004 405 Universidad de Zaragoza Departamento de Física Teórica Física Teórica 844, 2 (2011), 243-265 Nucl. phys., B NUCLEAR PHYSICS B 0550-3213 294691 http://zaguan.unizar.es/record/62006/files/texto_completo.pdf Versión publicada 57017 http://zaguan.unizar.es/record/62006/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:62006 articulos driver 2017-09-07-09:54:46 ARTICLE