Geometric RSK and the Toda lattice
نویسندگان
چکیده
منابع مشابه
The Toda Lattice
This motivates the following definition. Definition 1.2. A conserved quantity in a Hamiltonian system is a smooth function f ∈ C∞(M) such that {f,H} = 0. Remark 1.3. If you’re familiar with the Lagrangian model of classical mechanics, you can derive the above setup from a Lagrangian field theory on the real line R, i.e. from classical Lagrangian mechanics. There’s a classical procedure for doin...
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We discuss the spectrum of the QCD Dirac operator both at zero and at nonzero baryon chemical potential. We show that, in the ergodic domain of QCD, the Dirac spectrum can be obtained from the replica limit of a Toda lattice equation. At zero chemical potential this method explains the factorization of known results into compact and noncompact integrals, and at nonzero chemical potential it all...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2013
ISSN: 0019-2082
DOI: 10.1215/ijm/1415023516