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7 papers · 2 filters
Non-equivalence between Heisenberg XXZ spin chain and Thirring model
T. Fujita, T. Kobayashi, M. Hiramoto +1
The Bethe ansatz equations for the spin 1/2 Heisenberg XXZ spin chain are numerically solved, and the energy eigenvalues are determined for the anti-ferromagnetic case. We examine…
Color triplet excitations in two dimensional QCD
Makoto Hiramoto, Takehisa Fujita
We present a novel calculation of color triplet excitations in two dimensional QCD with SU(2) colors. It is found that the lowest energy of the color triplet excitations is proport…
Comment on "The massive Thirring model from XYZ spin chain" by Kolanovic et al
Takehisa Fujita, Takuya Kobayashi, Hidenori Takahashi
It is shown that the continuum limit of the spin 1/2 Heisenberg XYZ model is far from sufficient for the site number of 16. Therefore, the energy spectrum of the XYZ model obtained…
No Goldstone boson in NJL and Thirring models
Takehisa Fujita, Makoto Hiramoto, Hidenori Takahashi
We present an intuitive picture of the chiral symmetry breaking in the NJL and Thirring models. For the current current interaction model with the massless fermion, the vacuum is r…
New spectrum and condensate in two dimensional QCD
Takehisa Fujita, Makoto Hiramoto, Takeshi Homma
The boson mass and the condensate in two dimensional QCD with colors are numerically evaluated with the Bogoliubov vacuum. It is found that the boson mass is finite at th…
No massless boson in chiral symmetry breaking in NJL and Thirring models
Makoto Hiramoto, Takehisa Fujita
We show that the chiral symmetry breaking occurs in the vacuum of the massless Nambu-Jona-Lasinio (NJL) and Thirring models without a Goldstone boson. The basic reason of non-exist…