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ANATOMY OF A WEAK MATRIX ELEMENT
The standard model amplitude weak matrix element the spectral function
2014/12/23
Although the weak nonleptonic amplitudes of the Standard Model are notoriously difficult to calculate, we have produced a modified weak matrix element which can be analyzed using reliable methods. Thi...
Calculation of a weak nonleptonic matrix element using “Weinberg” sum rules
Weak matrix element vector and axis vector spectrum function spectral function
2014/12/23
There is a ``toy'' weak matrix element which can be expressed as an integral over the vector and axial vector spectral functions, $\rho_V (s) - \rho_A (s)$. I review our recent evaluation of these spe...
Current issues associated with nucleon axial matrix elements are studied, including the Goldberger-Treiman discrepancy, the induced pseudoscalar, and SU(3) chiral perturbation theory.
The influence of dimension eight operators on weak matrix elements
Mu dimension calculation matrix elements scale dimensional regularization
2014/12/22
I describe recent work with V. Cirigliano and E. Golowich on the effect of dimension eight operators on weak nonleptonic amplitudes. The basic mesage is that there is an inconsistency in the way that ...
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables Complete spectrum matrix elements Mathematical Physics
2012/6/19
The integrable quantum models associated to the transfer matrices of spin 1/2 highest weight representations for the 6-vertex reflection algebra are studied in the framework of Sklyanin's quantum sepa...
Integrable equations and classical S-matrix
Integrable equations classical S-matrix Mathematical Physics
2012/4/26
We study amplitudes of five-wave interactions for evolution Hamiltonian equations differ from the KdV equation by the form of dispersion law. We find that five-wave amplitude is canceled for all three...
Contradiction of the DENSITY MATRIX notion in quantum mechanics
Contradiction of the DENSITY MATRIX notion quantum mechanics General Physics
2012/4/19
It is shown that description of a nonpolarized neutron beam by density matrix is contradictory. Density matrix is invariant with respect to choice of quantization axis, while experimental devices can ...
Matrix Superpotential Linear in Variable Parameter
Matrix Superpotential Linear Variable Parameter Mathematical Physics
2011/9/19
Abstract: The paper presents the classification of matrix valued superpotentials corresponding to shape invariant systems of Schr\"odinger equations. All inequivalent irreducible matrix superpotential...
Random matrix approach in search for weak signals immersed in background noise
Random matrix weak signals immerse background noise
2011/8/4
Abstract: We present new, original and alternative method for searching signals coded in noisy data. The method is based on the properties of random matrix eigenvalue spectra. First, we describe gener...
Generic matrix superpotentials
Generic matrix superpotentials Mathematical Physics Quantum Physics
2011/9/5
Abstract: A simple and algorithmic description of matrix shape invariant potentials is presented. The complete lists of generic matrix superpotentials of dimension $2\times2$ and of special superpoten...
Induced Metric And Matrix Inequalities On Unitary Matrices
eigenvalues, metric, singular values, quantum information science, quantum mechanics, unitary matrices
2011/8/25
Abstract: We show that any symmetric norm on $\bR^n$ induces a metric on U(n), the group of all $n\times n$ unitary matrices. Using the same technique, we prove an inequality concerning the eigenvalue...
Orthogonal polynomials in the normal matrix model with a cubic potential
Orthogonal polynomials the normal matrix model Classical Analysis and ODEs
2011/7/27
Orthogonal polynomials in the normal matrix model with a cubic potential.
An inequality for the trace of matrix products, using absolute values
matrix absolute value trace inequality Holder inequality
2011/7/27
Abstract: The absolute value of matrices is used, to give inequalities for the trace of products. An application gives a very short proof of the tracial matrix Hoelder inequality.
Propagators and Matrix Basis on Noncommutative Minkowski Space
Propagators Matrix Basis Noncommutative Minkowski Space High Energy Physics - Theory
2011/7/29
Abstract: We describe an analytic continuation of the Euclidean Grosse-Wulkenhaar and LSZ models which defines a one-parameter family of duality covariant noncommutative field theories interpolating b...
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials
Random normal matrices Integral kernels Steepest descents method
2011/7/26
Asymptotic Integral Kernel for Ensembles of Random Normal Matrix with Radial Potentials.