Green's function zeros in Fermi surface symmetric mass generation

Lu, Da-Chuan; Zeng, Meng; You, Yi-Zhuang

doi:10.1103/physrevb.108.205117

Phys. Rev. B

2023

DOI: 10.1103/physrevb.108.205117

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Green's function zeros in Fermi surface symmetric mass generation

Da-Chuan Lu,

Meng Zeng,

Yi-Zhuang You

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Cited by 5 publications

References 122 publications

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A Lattice Formulation of Weyl Fermions on a Single Curved Surface

Aoki,

Fukaya,

Kan

2024

Progress of Theoretical and Experimental Physics

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In the standard lattice domain-wall fermion formulation, one needs two flat domain-walls where both of the left- and right-handed massless modes appear. In this work we investigate a single domain-wall system with a nontrivial curved background. Specifically we consider a massive fermion on a three-dimensional square lattice, whose domain-wall is a two-dimensional sphere. In the free theory, we find that a single Weyl fermion is localized at the wall and it feels gravity through the induced spin connection. With a topologically nontrivial U(1) link gauge field, however, we find a zero mode with the opposite chirality localized at the center where the gauge field is singular. In the latter case, the low-energy effective theory is not chiral but vectorlike. We discuss how to circumvent this obstacle in formulating lattice chiral gauge theory in the single domain-wall fermion system.

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A Lattice Formulation of Weyl Fermions on a Single Curved Surface

Aoki,

Fukaya,

Kan

2024

Progress of Theoretical and Experimental Physics

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Luttinger surface dominance and Fermi liquid behavior of topological Kondo insulators SmB6 and YbB12

Blason,

Pasqua,

Ferrero

et al. 2024

Phys. Rev. B

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Propagator Zeros and Lattice Chiral Gauge Theories

Golterman,

Shamir

2024

Phys. Rev. Lett.

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Symmetric mass generation (SMG) has been advocated as a mechanism to render mirror fermions massive without symmetry breaking, ultimately aiming for the construction of lattice chiral gauge theories. It has been argued that in an SMG phase, the poles in the mirror fermion propagators are replaced by zeros. Using an effective Lagrangian approach, we investigate the role of propagator zeros when the gauge field is turned on, finding that they act as coupled ghost states. In four dimensions, a propagator zero makes an opposite-sign contribution to the one-loop beta function as compared to a normal fermion. In two dimensional Abelian theories, a propagator zero makes a negative contribution to the photon mass squared. In addition, propagator zeros generate the same anomaly as propagator poles. Thus, gauge invariance will always be maintained in an SMG phase, in fact, even if the target chiral gauge theory is anomalous, but unitarity of the gauge theory is lost. Published by the American Physical Society 2024

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Green's function zeros in Fermi surface symmetric mass generation

Cited by 5 publications

References 122 publications

A Lattice Formulation of Weyl Fermions on a Single Curved Surface

A Lattice Formulation of Weyl Fermions on a Single Curved Surface

Luttinger surface dominance and Fermi liquid behavior of topological Kondo insulators SmB6 and YbB12

Propagator Zeros and Lattice Chiral Gauge Theories

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