Dirac operator
Atiyah-Patodi-Singer index theorem for domain-wall fermion Dirac operator
... forces the fermion fields to satisfy a boundary condition, which is locally given and respects the S O(3) rotational symmetry on the surface. As a consequence, the edge-localized modes appear in the complete set of the ...
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Incomplete inverse spectral and nodal problems for Dirac operator
... for Dirac operator defined on a finite interval with separated boundary conditions are ...the operator it is sufficient to specify the nodal points only on a part of the interval ...
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On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions
... discontinuous Dirac operator with eigenparameter dependent boundary and two transmission ...resolvent operator, and to prove some uniqueness ...
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A Harmonic Equations and the Dirac Operator
... This component is the scalar real part of the Dirac system, under appropriate identifications. Hence any real-valued solution to the Dirac system is an A-harmonic function. As such, the class of A-harmonic ...
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The Dirac operator on certain homogenous spaces and representations of some lie groups
... the tensor product of a discrete series representation for a non-compact semi-simple Lie group G, and a finite-dimensional representation.. His results on the infinitesimal characters of[r] ...
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Investigating the Dirac Operator Evaluation with FPGAs
... The memory throughput being the bottleneck, one can implement the kernel with a lower initiation interval because in any case several clock cycles are needed to collect all the necessary[r] ...
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Fast algorithms for chiral fermions in 2 dimensions
... Lattice QCD is a lattice gauge theory formulated on a lattice of points in space and time. Fields representing quarks are defined at lattice sites and the gluon fields are defined on the links connecting neighbouring ...
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Can axial U(1) anomaly disappear at high temperature?
... overlap Dirac operator with the reweighting, which are consistent with the dashed symbols obtained from the glu- onic definition on the original configurations with Möbius domain-wall ...
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Chiral condensate and Dirac spectrum of one-and two-flavor QCD at nonzero θ-angle
... the Dirac operator as well as the partition function at fixed topological charge ν are given by expressions in terms of Bessel functions that can be derived from chiral random matrix theory ...
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Dyons and Roberge - Weiss transition in lattice QCD
... spectrum changing in the left part of the figure from blue circles to red upside triangles. We see that even a small change of φ across the phase transiton (corresponding to the displacement to the “wrong” phase) gives ...
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Minimally doubled fermions and spontaneous chiral symmetry breaking
... Chiral symmetry and spontaneous chiral symmetry breaking are very imporant in QCD. Using min- imally doubled fermions (as chiral fermions) and Lanczos quadrature we can explore and under- stand the dynamical mechanism of ...
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Nissen-Meyer, Johannes (2018): Pair creation by strong laser fields. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... SchrHdinger operator with distinct ...the Dirac equation with an electromagnetic wave as external potential for several ...the Dirac operator when one would like to investigate the evolution ...
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Distribution of the Dirac modes in QCD
... configurations, λ i k denotes the kth lowest projected eigenvalue of the Dirac operator computed using the ith gauge configuration. M = 100 is the number of gauge configurations that we are taking into ...
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Comparative studies of the deformation techniques for the singular-drift problem in the complex Langevin method
... In this article we discussed the deformation technique, which enables us to avoid the singular-drift problem that occurs in the CLM. We investigated the matrix model with a complex fermion deter- minant, in which the ...
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Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient
... the Dirac operator, the in- verse periodic and antiperiodic boundary value problems were given in ...a Dirac type-system were developed in [, ...the Dirac operator with a dis- ...
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Morozov, Sergey (2008): Multiparticle Brown-Ravenhall operators in external fields. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... the Dirac operator is often projected onto some subspace where it appears to be semi- bounded from below and allows for a spectral analysis along the same lines as for Schr¨ odinger ...
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Mobility edge and Black Hole Horizon
... Euclidean Dirac operator spectrum in QCD is the important observable both in the confined and deconfined ...the Dirac operator spectral properties (see [4] for ...
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On Reconstruction Theorems in Noncommutative Riemannian Geometry
... the Dirac operator D / of a com- pact spin manifold; the orientability condition above was first proposed in the final arXiv version of [9], in order to accommodate correctly general Dirac-type ...
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Analysis on Vector Bundles over Noncommutative Tori
... the Dirac operator. That is, D is an unbounded self-adjoint operator on its domain which is dense in the Hilbert space H , and the spectrum of D has similar properties to the spectrum of the ...
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An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary
... the Dirac operator are ...The Dirac operator maps sections of positive-chirality spinors to those of negative ...the Dirac operator can be characterized as the completion of ...
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