Strong Non-Ultralocality of Ginsparg-Wilson Fermionic Actions
arXiv:hep-lat/0006027 · doi:10.1016/S0550-3213(01)00029-3
Abstract
It is shown that it is impossible to construct a free theory of fermions on infinite hypercubic Euclidean lattice in even number of dimensions that: (a) is ultralocal, (b) respects the symmetries of hypercubic lattice, (c) chirally nonsymmetric part of its propagator is local, and (d) describes single species of massless Dirac fermions in the continuum limit. This establishes non-ultralocality for arbitrary doubler-free Ginsparg-Wilson fermionic action with hypercubic symmetries ("strong non-ultralocality"), and complements the earlier general result on non-ultralocality of infinitesimal Ginsparg-Wilson-Luscher symmetry transformations ("weak non-ultralocality").
21 pages, 1 figure, LATEX. Few typos corrected; few sentences reformulated; figure centered
References in corpus (7)
- Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
- More about exactly massless quarks on the lattice
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- Lattice QCD without tuning, mixing and current renormalization
- Ginsparg-Wilson Relation and Ultralocality
- Lattice QCD with Ginsparg-Wilson fermions
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- Gauge Field Strength Tensor from the Overlap Dirac Operator
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- Low-dimensional long-range topological structure in the QCD vacuum
- Classical Limits of Scalar and Tensor Gauge Operators Based on the Overlap Dirac Matrix
- Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
- Topological Charge Fluctuations and Low-Lying Dirac Eigenmodes
- Locality and Efficient Evaluation of Lattice Composite Fields: Overlap-Based Gauge Operators
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