Fermion propagator diagonalization and eigenvalue problem
نویسندگان
چکیده
We discuss diagonalization of propagator for mixing fermions system based on the eigenvalue problem. The similarity transformation converting matrix into diagonal form is obtained. suggested has simple algebraic properties on-shell and can be used in renormalization fermion matrix.
منابع مشابه
The Mathematics of Fermion Mass Diagonalization
A pedagogical review on the diagonalization of fermion mass in quantum field theory is given in a coherent and systematic way. This review is an abridged version of a longer review that is currently in preparation.
متن کاملPropagator of the lattice domain wall fermion and the staggered fermion
We calculate the propagator of the domain wall fermion (DWF) of the RBC/UKQCD collaboration with 2+1 dynamical flavors of 163 × 32× 16 lattice in Coulomb gauge, by applying the conjugate gradient method. We find that the fluctuation of the propagator is small when the momenta are taken along the diagonal of the 4-dimensional lattice. Restricting momenta in this momentum region, which is called ...
متن کاملThe Eigenvalue Problem: Perturbation Theory The Unsymmetric Eigenvalue Problem
The Unsymmetric Eigenvalue Problem Just as the problem of solving a system of linear equations Ax = b can be sensitive to perturbations in the data, the problem of computing the eigenvalues of a matrix can also be sensitive to perturbations in the matrix. We will now obtain some results concerning the extent of this sensitivity. Suppose that A is obtained by perturbing a diagonal matrix D by a ...
متن کاملThe Fermion Mass Problem *
I review the 'puzzles' associated with the fermion mass matrices and describe some recent attempts to resolve them, at least partially. Models which attempt to explain the observed mass hierarchy as arising from ra-diative corrections are discussed. I then scrutinize possible inter–relations among quark and lepton masses and the mixing angles in the context of grand unified theories. It is argu...
متن کاملOn the nonnegative inverse eigenvalue problem of traditional matrices
In this paper, at first for a given set of real or complex numbers $sigma$ with nonnegative summation, we introduce some special conditions that with them there is no nonnegative tridiagonal matrix in which $sigma$ is its spectrum. In continue we present some conditions for existence such nonnegative tridiagonal matrices.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2022
ISSN: ['1793-6632', '0217-7323']
DOI: https://doi.org/10.1142/s0217732322500845