A Note on the Real Fermionic and Bosonic quadratic forms: Their Diagonalization and Topological Interpreation
数学物理
2007-05-23 v3 高能物理 - 理论
math.MP
摘要
We explain in this note how real fermionic and bosonic quadratic forms can be effectively diagonalized. Nothing like that exists for the general complex hermitian forms. Looks like this observation was missed in the Quantum Field theoretical literature. The present author observed it for the case of fermions in 1986 making some topological work dedicated to the problem: how to construct Morse-type inequalities for the generic real vector fields? This idea also is presented in the note.
引用
@article{arxiv.math-ph/0110032,
title = {A Note on the Real Fermionic and Bosonic quadratic forms: Their Diagonalization and Topological Interpreation},
author = {Sergey P. Novikov},
journal= {arXiv preprint arXiv:math-ph/0110032},
year = {2007}
}
备注
9pages, Latex