WebAug 11, 2024 · Confinement and Fermion Doubling Problem in Dirac-like Hamiltonians. We investigate the interplay between confinement and the fermion doubling problem in … The fermion doubling problem is intractably linked to chiral invariance by the Nielsen–Ninomiya theorem. Most strategies used to solve the problem require using modified fermions which reduce to the Dirac fermion only in the continuum limit . See more 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 $${\displaystyle d}$$ See more For simplicity we will consider a four-dimensional theory of a free fermion, although the fermion doubling problem remains in arbitrary … 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
Wilson Fermions and Axion Electrodynamics in Optical Lattices
WebThe fermion doubling problem is an artifact of the realization of the theory by means of quarks where the axial anomaly is not present in the lagrangian but in the path integral measure. There are … WebThe fermion doubling problem is intractably linked to chiral invariance by the Nielsen–Ninomiya theorem. Most strategies used to solve the problem require using … scarlet diamond wow
Fermions on Quantum Geometry and Resolution of Doubling Problem
WebThe crux of the unresolved issues is the fermion doubling problem. Staggered fermions cope with the problem partially, reducing the number of species from sixteen (in four space-time dimen- ... doubling symmetries relate all 16 corners ... isthatasinglenaïve fermion field ϒ corresponds to 16 species of fermion. The extra species are evident ... WebIn particular, under very general assumptions such as locality, hermiticity, and translational symmetry, any lattice formulation of chiral fermions necessarily leads to fermion … WebTo date, most research into fermion doubling has been focused on standard quantum field theories. In this paper, we propose that fermion doubling is not unique to quan … scarlet dorn band