Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2000-06-27
Nucl.Phys. B599 (2001) 283-304
Physics
High Energy Physics
High Energy Physics - Lattice
21 pages, 1 figure, LATEX. Few typos corrected; few sentences reformulated; figure centered
Scientific paper
10.1016/S0550-3213(01)00029-3
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").
Balwe Chetan T.
Horváth Ivan
Mendris Robert
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