Fermion field theory on a lattice: Variational analysis of the Thirring model | Zendy

Sidney D. Drell | Zendy; Benjamin Svetitsky | Zendy; Marvin Weinstein | Zendy

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Fermion field theory on a lattice: Variational analysis of the Thirring model

Author(s) -

Sidney D. Drell,

Benjamin Svetitsky,

Marvin Weinstein

Publication year - 1978

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.17.523

Subject(s) - thirring model , physics , fermion , lattice (music) , hamiltonian (control theory) , lattice field theory , mathematical physics , lattice model (finance) , massless particle , quantum mechanics , theoretical physics , quantum electrodynamics , mathematics , gauge theory , acoustics , mathematical optimization , nuclear magnetic resonance , polymer

We extend variational techniques previously described to study the two-dimensional massless free fermion field and the Thirring model on a spatial lattice. The iterative block spin procedure of constructing an effective lattice Hamiltonian, starting by dissecting the lattice into three-site blocks, is shown to be successful in producing results known for the continuum Thirring model.

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