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pro vyhledávání: '"Costanza Benassi"'
The partition function of the Symmetric Matrix Ensemble is identified with the $\tau-$function of a particular solution of the Pfaff Lattice. We show that in the case of even power interactions, in the thermodynamic limit, the $\tau-$function corresp
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edb09a4b7fa692dc0a5eba663de808d4
We show that Hermitian matrix models support the occurrence of a new type of phase transition characterised by dispersive regularisation of the order parameter near the critical point. Using the identification of the partition function with a solutio
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac13ba9cde836b9adcc31c88c4cf41f2
https://nrl.northumbria.ac.uk/id/eprint/42617/8/Benassi_Moro.pdf
https://nrl.northumbria.ac.uk/id/eprint/42617/8/Benassi_Moro.pdf
Publikováno v:
Journal of Statistical Physics
We show the positivity or negativity of truncated correlation functions in the quantum XY model with spin 1/2 (at any temperature) and spin 1 (in the ground state). These Griffiths-Ginibre inequalities of the second kind generalise an earlier result
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::957cb39bb57698de68ce91a3494e183b
http://europepmc.org/articles/PMC4977339
http://europepmc.org/articles/PMC4977339
Autor:
Costanza Benassi, Daniel Ueltschi
We introduce a family of loop soup models on the hypercubic lattice. The models involve links on the edges, and random pairings of the link endpoints on the sites. We conjecture that loop correlations of distant points are given by Poisson-Dirichlet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3edf56933ed6dc2226d7cdc35136230d
Publikováno v:
Advances in Quantum Mechanics ISBN: 9783319589039
We review correlation inequalities of truncated functions for the classical and quantum XY models. A consequence is that the critical temperature of the XY model is necessarily smaller than that of the Ising model, in both the classical and quantum c
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https://explore.openaire.eu/search/publication?articleId=doi_________::2e4878180cec9b71a7dbfb27902f41b6
https://doi.org/10.1007/978-3-319-58904-6_2
https://doi.org/10.1007/978-3-319-58904-6_2
Publikováno v:
Annales Henri Poincaré, 18 (9)
We study a large class of models of two-dimensional quantum lattice systems with continuous symmetries, and we prove a general McBryan–Spencer–Koma–Tasaki theorem concerning algebraic decay of correlations. We present applications of our main r
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a0cca41ce55c7d2e93e54d43c90d4d8