Hyperbolic Hubbard-Stratonovich transformation made rigorous

Autor:	Fyodorov, Y. V., Wei, Y., Zirnbauer, M. R.
Rok vydání:	2008
Předmět:	Mathematical Physics Condensed Matter - Mesoscale and Nanoscale Physics
Zdroj:	J. Math. Phys. 49, 053507 (2008)
Druh dokumentu:	Working Paper
DOI:	10.1063/1.2917066
Popis:	We revisit a long standing issue in the theory of disordered electron systems and their effective description by a non-linear sigma model: the hyperbolic Hubbard-Stratonovich (HS) transformation in the bosonic sector. For time-reversal invariant systems without spin this sector is known to have a non-compact orthogonal symmetry O(p,q). There exists an old proposal by Pruisken and Schaefer how to do the HS transformation in an O(p,q) invariant way. Giving a precise formulation of this proposal, we show that the HS integral is a sign-alternating sum of integrals over disjoint domains. Comment: 21 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0801.4960 Zobrazit plný text záznamu View this record from Arxiv