Using the resolvent method and the technique of weighted L 2-estimates we deduce the non-existence of the singular continuous spectrum of the Dirac operator τ + P( x) on the interval (1, ∞). We assume that the hermitian matrix potential P( x) = P 1( x) + P 2( x) is divided...
We derive the spectrum of the Dirac operator for the linear sigma-model with quarks in the large N_c approximation using renormalization group flow equations. For small eigenvalues, the Banks-Casher relation and the vanishing linear term are recovered. We calculate the coefficient of the next to...
The eta function of the localised Dirac operator for the universal cover of SL2 (R) Recently Brodzld, Niblo, Plymen, and Wright determ Spreafico,M. - 《Journal of Functional Analysis》 被引量: 0发表: 2017年 Spectrum of the U(1) staggered Dirac operator in four dimensions We compare the...
distinguished selfadjoint extensions of dirac operators Upke-Walther,Schmincke - 《Mathematische Zeitschrift》 被引量: 62发表: 1972年 An application of the maximum principle to the study of essential self‐adjointness of Dirac operators. I We formulate a theorem saying that the Dirac operator corresp...
On Essential Selfadjointness, Distinguished Selfadjoint Extension and Essential Spectrum of Dirac Operators with Matrix Valued Potentials 来自 Semantic Scholar 喜欢 0 阅读量: 5 作者: M Arai 摘要: (1.2) ajak+akaj=2djkl (/, fe = l, 2, 3, 4). We denote by HQ the operator H with We ...
We study the spectrum of the Dirac operator on hyperbolic manifolds of finite volume. Depending on the spin structure it is either discrete or the whole re... C Baer - 《Journal of Differential Geometry》 被引量: 99发表: 2000年 A brief note on the spectrum of the basic Dirac operator In...
qcddiracoperatorenergyspectrumstatistical arXiv:hep-th/0012144v29Jan2001SUNY-NTG-00/61StatisticalpropertiesofthespectrumoftheQCDDiracoperatoratlowenergyD.Toublan1,2andJ.J.M.Verbaarschot21LoomisLaboratoryofPhysics,UniversityofIllinois,Urbana-Champaign,IL61801,USA2DepartmentofPhysicsandAstronomy,StateUniversityof...
摘要: In this paper we study the asymptotics of the discrete spectrum in the gap (1, 1) of the perturbed Dirac operator D (α)= D 0 α V 1 acting in L 2 ( R 3 ; C 4 ) with large coupling constant α. In particular some "non-standard" asymptotic formulae are obtained....
Spectrum of Dirac operator and role of winding number in QCD We show that very general considerations based on the properties of the partition function of QCD allow one to extract information about the eigenvalues of... H Leutwyler,A Smilga - 《Physical Review D Particles & Fields》 被引量:...
D. Toublan and J.J.M. Verbaarschot, Statistical properties of the spectrum of the QCD Dirac operator at low energy , Nucl. Phys. B 603 (2001) 343 [ hep-th/0012144 ] [ SPIRES ].D. Toublan and J.J.M. Verbaarschot, Statistical properties of the spectrum of the QCD Dirac operator ...