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Re-Interpretation of Spontaneous Symmetry Breaking in Quantum Field Theory and Goldstone Theorem
T. Fujita, M. Hiramoto, T. Homma +2
We present a new picture of global symmetry breaking in quantum field theory and propose a novel realization of symmetry breaking phenomena in terms of the conserved charge associa…
New Vacuum of Bethe Ansatz Solutions in Thirring Model
T. Fujita, M. Hiramoto, T. Homma +1
We find a new vacuum of the Bethe ansatz solutions in the massless Thirring model. This vacuum breaks the chiral symmetry and has the lower energy than the well-known symmetric vac…
Historical Mistake in Spontaneous Symmetry Breaking
T. Fujita, M. Hiramoto, H. Takahashi
The prediction of a massless boson after the spontaneous chiral symmetry breaking in the classic paper of Nambu and Jona-Lasinio (NJL) is shown to be wrong. Their mistake is due to…
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…