WebFermion doubling is a consequence of a no-go theorem in lattice field theory known as the Nielsen–Ninomiya theorem. It states that any even dimensional local, hermitian , … WebOct 25, 2024 · Abstract. We investigate the interplay between confinement and the fermion doubling problem in Dirac-like Hamiltonians. Individually, both features are well known. …

两维非厄米体系中的Fermion Doubling Theorems - YuXuan

In lattice field theory, fermion doubling occurs when naively putting fermionic fields on a lattice, resulting in more fermionic states than expected. For the naively discretized Dirac fermions in $${\displaystyle d}$$ Euclidean dimensions, each fermionic field results in $${\displaystyle 2^{d}}$$ identical … See more For simplicity we will consider a four-dimensional theory of a free fermion, although the fermion doubling problem remains in arbitrary dimensions and even if interactions are included. Lattice field theory is usually … See more • Acoustic and optical phonons: a similar phenomenon in solid state crystals See more Fermion doubling is a consequence of a no-go theorem in lattice field theory known as the Nielsen–Ninomiya theorem. It states that any even dimensional local, hermitian, translationally invariant, bilinear fermionic theory always has the same number of left … See more WebFeb 26, 2024 · The fermion doubling theorem plays a pivotal role in Hermitian topological materials. It states, for example, that Weyl points must come in pairs in three … move right physical therapy

Chiral Anomalies and the Nielsen - Ninomiya No-Go Theorem

WebFermion doubling is a consequence of a no-go theorem in lattice field theory known as the Nielsen–Ninomiya theorem. It states that any even dimensional local, hermitian , … WebOct 25, 2024 · The fermion doubling issue exists in condensed matter physics as well [7] [8] [9] [10] [11]. It prevents the occurrence of quantum anomalies in lattices, such as the quantum anomalous Hall... Webfermions on a lattice is presented. A simple outline of the phenonenon of fermion doubling is followed by an explanation of its discrepancy with the axial anomaly. The assumptions … moverim consulting