Chiral separation effect in lattice regularization

We consider the chiral separation effect (CSE) in the lattice-regularized quantum field theory. We discuss two types of regularization: with and without exact chiral symmetry. In the latter case this effect is described by its conventional expression for the massless fermions. This is illustrated by...

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Bibliographic Details
Published in:Physical review. D 2017-04, Vol.95 (7), Article 074502
Main Authors: Khaidukov, Z. V., Zubkov, M. A.
Format: Article
Language:English
Subjects:
Fermions
Field theory
Green's functions
Quantum field theory
Quantum theory
Regularization
Separation
Symmetry
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Summary:We consider the chiral separation effect (CSE) in the lattice-regularized quantum field theory. We discuss two types of regularization: with and without exact chiral symmetry. In the latter case this effect is described by its conventional expression for the massless fermions. This is illustrated by the two particular cases of Wilson fermions and the conventional overlap fermions. At the same time, in the presence of the exact chiral symmetry the CSE disappears. This is illustrated by the naive lattice fermions, when the contributions of the fermion doublers cancel each other. Another example is the modified version of the overlap regularization proposed recently, where there is exact chiral symmetry, but as a price for this the fermion doublers become zeros of the Green function. In this case the contributions to the CSE of zeros and poles of the Green function cancel each other.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.95.074502