• Corpus ID: 118450254

Boundary effects on the lattice/continuum correspondence: the spin-1/2 XXZ chain and the sine-Gordon model

@article{Matsui2014BoundaryEO,
  title={Boundary effects on the lattice/continuum correspondence: the spin-1/2 XXZ chain and the sine-Gordon model},
  author={Chihiro Matsui},
  journal={arXiv: Statistical Mechanics},
  year={2014}
}
  • C. Matsui
  • Published 8 December 2014
  • Physics
  • arXiv: Statistical Mechanics
We derived the corresponding boundary condition on Fermi fields to the spin-1/2 Heisenberg chain with boundary magnetic fields. In order to obtain the correct boundary condition from the variation of the action at the edges, we carefully treat the oscillating terms which emerge as a result of the chiral decomposition of fermions and do not contribute to the bulk Lagrangian. The obtained result is checked by compared with the exact result derived from the Bethe ansatz, by considering the mode… 

References

FIELD THEORY METHODS AND QUANTUM CRITICAL PHENOMENA