1999/12/31 by P. H. Damgaard, P.H. Damgaard, K. Splittorff · 1 citation
Mathematics · Physics and Astronomy · #Condensed matter physics #Dirac (video compression format) #Dirac operator #Eigenvalues and eigenvectors #Fermion #Function (biology) #Mathematical physics #Operator (biology) #Order (exchange) #Particle physics #Partition function (quantum field theory) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum mechanics #Random Matrices and Applications #Random matrix #Spectral function #hep-lat #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00022-5
published as Nucl.Phys. B572 (2000) 478-498 · LaTeX, 19 pages, misprints corrected
openalex publication_date 2000/04/01 · arxiv created 2000/10/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Exploiting Virasoro constraints on the effective finite-volume partition function, we derive generalized Leutwyler-Smilga spectral sum rules of the Dirac operator to high order. By introducing Nv fermion species of equal masses, we next use the Virasoro constraints to compute two (low-mass and large-mass) expansions of the partially quenched chiral condensate through the replica method of letting Nv → 0. The low-mass expansion can only be pushed to a certain finite order due to de Wit-'t Hooft poles, but the large-mass expansion can be carried through to arbitrarily high order. Results agree exactly with earlier results obtained through both Random Matrix Theory and the supersymmetric method.