Oscillatory behavior of the domain wall fermions revisited

Jian Liang; Ying Chen; Ming Gong; Long Cheng Gui; Keh Fei Liu; Zhaofeng Liu; Yi Bo Yang

doi:10.1103/PhysRevD.89.094507

Oscillatory behavior of the domain wall fermions revisited

Jian Liang, Ying Chen, Ming Gong, Long Cheng Gui, Keh Fei Liu, Zhaofeng Liu, Yi Bo Yang

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In the generic domain wall fermion formulation of chiral fermions on the lattice, the zero modes of the four-dimensional Wilson fermion operator with the negative mass parameter -M5 introduce unphysical massive modes propagating in the four-dimensional spacetime. In the free fermion case, the pole mass of this kind of unphysical modes is given by Ẽ=ln(1-M5), which acquires an imaginary part, iπ, when M5>1 and results in an oscillatory behavior of the domain wall fermion propagator in time. The existence of the unphysical modes in the presence of gauge fields is investigated in the mean field approximation, and their physical consequences are discussed. In addition, we also give a semiquantitative criterion for tuning M5 in the realistic numerical study.

Original language	English
Article number	094507
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	89
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevD.89.094507
State	Published - May 27 2014

Funding

Funders	Funder number
Massachusetts Department of Fish and Game
Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.89.094507

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title = "Oscillatory behavior of the domain wall fermions revisited",

abstract = "In the generic domain wall fermion formulation of chiral fermions on the lattice, the zero modes of the four-dimensional Wilson fermion operator with the negative mass parameter -M5 introduce unphysical massive modes propagating in the four-dimensional spacetime. In the free fermion case, the pole mass of this kind of unphysical modes is given by Ẽ=ln(1-M5), which acquires an imaginary part, iπ, when M5>1 and results in an oscillatory behavior of the domain wall fermion propagator in time. The existence of the unphysical modes in the presence of gauge fields is investigated in the mean field approximation, and their physical consequences are discussed. In addition, we also give a semiquantitative criterion for tuning M5 in the realistic numerical study.",

author = "Jian Liang and Ying Chen and Ming Gong and Gui, {Long Cheng} and Liu, {Keh Fei} and Zhaofeng Liu and Yang, {Yi Bo}",

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T1 - Oscillatory behavior of the domain wall fermions revisited

AU - Liang, Jian

AU - Chen, Ying

AU - Gong, Ming

AU - Gui, Long Cheng

AU - Liu, Keh Fei

AU - Liu, Zhaofeng

AU - Yang, Yi Bo

PY - 2014/5/27

Y1 - 2014/5/27

N2 - In the generic domain wall fermion formulation of chiral fermions on the lattice, the zero modes of the four-dimensional Wilson fermion operator with the negative mass parameter -M5 introduce unphysical massive modes propagating in the four-dimensional spacetime. In the free fermion case, the pole mass of this kind of unphysical modes is given by Ẽ=ln(1-M5), which acquires an imaginary part, iπ, when M5>1 and results in an oscillatory behavior of the domain wall fermion propagator in time. The existence of the unphysical modes in the presence of gauge fields is investigated in the mean field approximation, and their physical consequences are discussed. In addition, we also give a semiquantitative criterion for tuning M5 in the realistic numerical study.

AB - In the generic domain wall fermion formulation of chiral fermions on the lattice, the zero modes of the four-dimensional Wilson fermion operator with the negative mass parameter -M5 introduce unphysical massive modes propagating in the four-dimensional spacetime. In the free fermion case, the pole mass of this kind of unphysical modes is given by Ẽ=ln(1-M5), which acquires an imaginary part, iπ, when M5>1 and results in an oscillatory behavior of the domain wall fermion propagator in time. The existence of the unphysical modes in the presence of gauge fields is investigated in the mean field approximation, and their physical consequences are discussed. In addition, we also give a semiquantitative criterion for tuning M5 in the realistic numerical study.

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Oscillatory behavior of the domain wall fermions revisited

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