Lattice chirality, anomaly matching, and more on the (non)decoupling of mirror fermions
نویسندگان
چکیده
منابع مشابه
Lattice Chirality and the Decoupling of Mirror Fermions
We show, using exact lattice chirality, that partition functions of lattice gauge theories with vectorlike fermion representations can be split into “light” and “mirror” parts, such that the “light” and “mirror” representations are chiral. The splitting of the full partition function into “light” and “mirror” is well defined only if the two sectors are separately anomaly free. We show that only...
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If we construct a lattice fermion formulation, there are a number of goals to be considered: doubling should be avoided; even at finite lattice spacing a, we want to represent chiral symmetry in a sound way; and we are seeking a good scaling behavior. Conceptually we have to require locality (the lattice Dirac operator D(x, y, U) has to decay at least exponentially in |x−y| ). In addition, for ...
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We show in the Wilson model that the contribution of the regular mass term to the four-divergence of the axial vector current in weak coupling perturbation theory is not zero in the chiral limit and precisely is the axial anomaly. Explicit breaking of chiral symmetry in the Wilson term is not relevant for the result. The ABJ anomaly is generated by the fermion mass term also with a chirally sym...
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Nondecoupling of Heavy Mirror-Fermion
According to one-loop perturbation theory, fermions whose masses are totally generated from Yukawa couplings do not decouple in the heavy mass limit. We investigate this issue nonperturbatively in the strong coupling regime of the chiral U(1) mirror-fermion model in four dimensions. Our numerical results, obtained on 6 · 16, 6 · 24 and 8 · 16 lattices, indicate nondecoupling of heavy fermion an...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2009
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2009/03/103