Free energy topological expansion for the 2-matrix model
Mar, 200631 pages
Published in:
- JHEP 12 (2006) 053
e-Print:
- math-ph/0603003 [math-ph]
Report number:
- SPHT-T06-016,
- ITEP-TH-05-06
Citations per year
Abstract:
We compute the complete topological expansion of the formal hermitian two-matrix model. For this, we refine the previously formulated diagrammatic rules for computing the 1/ N expansion of the nonmixed correlation functions and give a new formulation of the spectral curve. We extend these rules obtaining a closed formula for correlation functions in all orders of topological expansion. We then integrate it to obtain the free energy in terms of residues on the associated Riemann surface.Note:
- Latex, 31 pages, 20 figures: few misprints corrected Proxy: ccsd ccsd-00019891 Report-no: ITEP/TH-05/06, SPhT-T06/016 Subj-class: Mathematical Physics
- matrix model
- free energy
- expansion: topological
- loop space
- differential forms
- correlation function
- Riemann surface
- geometry: algebra
References(35)
Figures(0)