94 citations
5 papers
Complex Valued Analytic Torsion for Flat Bundles and for Holomorphic Bundles with (1,1) Connections
Sylvain E. Cappell, Edward Y. Miller
The work of Ray and Singer which introduced analytic torsion, a kind of determinant of the Laplacian operator in topological and holomorphic settings, is naturally generalized in b…
Note on a sigma model connection with instanton dynamics
Amir H. Fariborz, Renata Jora, Joseph Schechter
It is well known that the instanton approach to QCD generates an effective term which looks like a three flavor determinant of quark bilinears. This has the right behavior to expla…
Necessary and Sufficient Lyapunov-Like Conditions for Robust Nonlinear Stabilization
Iasson Karafyllis, Zhong-Ping Jiang
In this work, we propose a methodology for the expression of necessary and sufficient Lyapunov-like conditions for the existence of stabilizing feedback laws. The methodology is an…
Low energy scattering with a nontrivial pion
Amir H. Fariborz, Renata Jora, Joseph Schechter
An earlier calculation in a generalized linear sigma model showed that the well-known current algebra formula for low energy pion pion scattering held even though the massless Namb…
Two chiral nonet model with massless quarks
Amir H. Fariborz, Renata Jora, Joseph Schechter
We present a detailed study of a linear sigma model containing one chiral nonet transforming under U(1) as a quark-antiquark composite and another chiral nonet transforming as…