Dirac eigenvalues and eigenvectors at finite temperature
نویسندگان
چکیده
منابع مشابه
Lattice QCD at finite temperature : Evidence for calorons from the eigenvectors of the Dirac operator ∗
We analyze the eigenvalues and eigenvectors of the staggered Dirac operator in quenched lattice QCD in the vicinity of the deconfinement phase transition using the Lüscher-Weisz gauge action. The spectral and localization properties of the low-lying eigenmodes show characteristic differences between the Z3 sectors above the critical temperature Tc. These findings can be interpreted in terms of ...
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Lemma 1.1. Let V be a finite-dimensional vector space over a field F. Let β, β′ be two bases for V . Let T : V → V be a linear transformation. Define Q := [IV ] ′ β . Then [T ] β β and [T ] ′ β′ satisfy the following relation [T ] ′ β′ = Q[T ] β βQ −1. Theorem 1.2. Let A be an n× n matrix. Then A is invertible if and only if det(A) 6= 0. Exercise 1.3. Let A be an n×n matrix with entries Aij, i,...
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Exercise 4. Let λ be an eigenvalue of A and let Eλ(A) = {x ∈ C|Ax = λx} denote the set of all eigenvectors of A associated with λ (including the zero vector, which is not really considered an eigenvector). Show that this set is a (nontrivial) subspace of C. Definition 5. Given A ∈ Cm×m, the function pm(λ) = det(λI − A) is a polynomial of degree at most m. This polynomial is called the character...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 2001
ISSN: 0920-5632
DOI: 10.1016/s0920-5632(01)00985-9