Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary effects on the lattice/continuum correspondence: the spin-1/2
  XXZ chain and the sine-Gordon model   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 expansion of fermions on the light-cone
coordinates. We also give the spin-wave interpretation to the emergence of
boundary bound states.

14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga