Results 11 to 20 of about 509,496 (250)
Dirac-Krein systems on star graphs [PDF]
, 2016 We study the spectrum of a self-adjoint Dirac-Krein operator with potential on a compact star graph G with a finite number n of edges. This operator is defined by a Dirac-Krein differential expression with summable matrix potentials on each edge, by self-
Langer, H. +6 more
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Dirac Operators on Noncommutative Curved Spacetimes
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We study the notion of a Dirac operator in the framework of twist-deformed noncommutative geometry. We provide a number of well-motivated candidate constructions and propose a minimal set of axioms that a noncommutative Dirac operator should satisfy ...
Alexander Schenkel +1 more
doaj +1 more source
Alternatives to the stochastic “noise vector” approach
EPJ Web of Conferences, 2018 Several important observables, like the quark condensate and the Taylor coefficients of the expansion of the QCD pressure with respect to the chemical potential, are based on the trace of the inverse Dirac operator and of its powers.
de Forcrand Philippe, Jäger Benjamin
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The local spectrum of the Dirac operator for the universal cover of SL_2(R) [PDF]
, 2016 Using representation theory, we compute the spectrum of the Dirac operator on the universal covering group of SL2(R)SL2(R), exhibiting it as the generator of KK1(C,A)KK1(C,A), where AA is the reduced C?C?-algebra of the group.
Wright, Nick +8 more
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Slice Dirac operator over octonions [PDF]
, 2020 The slice Dirac operator over octonions is a slice counterpart of the Dirac operator over quaternions. It involves a new theory of stem functions, which is the extension from the commutative O(1) case to the non-commutative O(3) case.
Sabadini I., Jin M., Ren G.
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Distribution of the Dirac modes in QCD
EPJ Web of Conferences, 2018 It was established that distribution of the near-zero modes of the Dirac operator is consistent with the Chiral Random Matrix Theory (CRMT) and can be considered as a consequence of spontaneous breaking of chiral symmetry (SBCS) in QCD.
Catillo M., Glozman L. Ya.
doaj +1 more source
Improved hadronic measurements and spectral sums on the lattice [PDF]
, 2008 In this thesis we address several topics of lattice QCD. As a first project we perform calculations of ground and excited states of light mesons. Especially the extraction of the excited states turns out be very difficult.
Hagen, Christian
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Anomaly inflow for local boundary conditions
Journal of High Energy Physics, 2022 We study the η-invariant of a Dirac operator on a manifold with boundary subject to local boundary conditions with the help of heat kernel methods. In even dimensions, we relate this invariant to η-invariants of a boundary Dirac operator, while in odd ...
A. V. Ivanov, D. V. Vassilevich
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Spectral Theory of Dirac Operators with Measures [PDF]
, 2023 Dirac operators with measures are the extension of the classical Dirac operators. We give a compatible interpretation of such a Dirac differential equation with a measure coefficient and discuss the general direct spectral theory of this kind of ...
Zeng, Jie
core
Operator Representation of Fermi-Dirac and Bose-Einstein Integral Functions with Applications
International Journal of Mathematics and Mathematical Sciences, 2007 Fermi-Dirac and Bose-Einstein functions arise as quantum statistical distributions. The Riemann zeta function and its extension, the polylogarithm function, arise in the theory of numbers.
M. Aslam Chaudhry, Asghar Qadir
doaj +1 more source