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Lax Pair for the Free‐Fermion Eight‐Vertex Model
Author(s) -
Barouch E.
Publication year - 1984
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1984702151
Subject(s) - fermion , vertex (graph theory) , hamiltonian (control theory) , vertex model , mathematical physics , quantum , physics , transverse field , mathematics , transverse plane , quantum mechanics , combinatorics , graph , mathematical optimization , structural engineering , engineering
An explicit result on the quantum Lax pair for the eight‐vertex free‐fermion model with external fields in both directions is exhibited. Its relation to the quantum spectral transform and its corresponding Hamiltonian—the XY model with a transverse field—is discussed. The Yang‐Baxter relation is computed, and the equations of motion are solved.