Abstract
The generalization of Lorentz invariance to solvable two-dimensional lattice fermion models has been formulated in terms of Baxter`s corner transfer matrix. In these models, the lattice Hamiltonian and boost operator are given by fermionized nearest-neighbor Heisenberg spin chain operators. The transformation properties of the local lattice fermion operators under a boost provide a natural and precise way of generalizing the chiral structure of a continuum Dirac field to the lattice. The resulting formulation differs from both the Wilson and staggered (Kogut-Susskind) prescriptions. In particular, an axial Q{sub 5} rotation is sitewise local, while the vector charge rotation mixes nearest neighbors on even and odd sublattices. ((orig.)).
Thacker, H B
[1]
- Virginia Univ., Charlottesville, VA (United States). Dept. of Physics
Citation Formats
Thacker, H B.
Spin chains and chiral lattice fermions.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00337-9.
Thacker, H B.
Spin chains and chiral lattice fermions.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00337-9
Thacker, H B.
1995.
"Spin chains and chiral lattice fermions."
Netherlands.
https://doi.org/10.1016/0920-5632(95)00337-9.
@misc{etde_101113,
title = {Spin chains and chiral lattice fermions}
author = {Thacker, H B}
abstractNote = {The generalization of Lorentz invariance to solvable two-dimensional lattice fermion models has been formulated in terms of Baxter`s corner transfer matrix. In these models, the lattice Hamiltonian and boost operator are given by fermionized nearest-neighbor Heisenberg spin chain operators. The transformation properties of the local lattice fermion operators under a boost provide a natural and precise way of generalizing the chiral structure of a continuum Dirac field to the lattice. The resulting formulation differs from both the Wilson and staggered (Kogut-Susskind) prescriptions. In particular, an axial Q{sub 5} rotation is sitewise local, while the vector charge rotation mixes nearest neighbors on even and odd sublattices. ((orig.)).}
doi = {10.1016/0920-5632(95)00337-9}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {Spin chains and chiral lattice fermions}
author = {Thacker, H B}
abstractNote = {The generalization of Lorentz invariance to solvable two-dimensional lattice fermion models has been formulated in terms of Baxter`s corner transfer matrix. In these models, the lattice Hamiltonian and boost operator are given by fermionized nearest-neighbor Heisenberg spin chain operators. The transformation properties of the local lattice fermion operators under a boost provide a natural and precise way of generalizing the chiral structure of a continuum Dirac field to the lattice. The resulting formulation differs from both the Wilson and staggered (Kogut-Susskind) prescriptions. In particular, an axial Q{sub 5} rotation is sitewise local, while the vector charge rotation mixes nearest neighbors on even and odd sublattices. ((orig.)).}
doi = {10.1016/0920-5632(95)00337-9}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}