Equivalence of Bose-Einstein condensation and symmetry breaking

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dc.creatorSuto, Andras
dc.date2004-12-16
dc.date2006-05-30
dc.date.accessioned2026-07-07T06:38:33Z
dc.date.available2026-07-07T06:38:33Z
dc.descriptionBased on a classic paper by Ginibre [Commun. Math. Phys. {\bf 8} 26 (1968)] it is shown that whenever Bogoliubov's approximation, that is, the replacement of a_0 and a_0^* by complex numbers in the Hamiltonian, asymptotically yields the right pressure, it also implies the asymptotic equality of |< a_0>|^2/V and < a_0^*a_0>/V in symmetry breaking fields, irrespective of the existence or absence of Bose-Einstein condensation. Because the former was proved by Ginibre to hold for absolutely integrable superstable pair interactions, the latter is equally valid in this case. Apart from Ginibre's work, our proof uses only a simple convexity inequality due to Griffiths.
dc.descriptionAn error in my summary of previous results (the definition of F') is corrected. The correction is to be done also in the PRL
dc.identifierhttps://arxiv.org/abs/math-ph/0412056
dc.identifierhttp://arxiv.org/abs/math-ph/0412056
dc.identifierPhys.Rev.Lett. 94 (2005) 080402
dc.identifierdoi:10.1103/PhysRevLett.94.080402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100777
dc.subjectMathematical Physics
dc.subjectAstrophysics
dc.subjectStatistical Mechanics
dc.titleEquivalence of Bose-Einstein condensation and symmetry breaking
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