On the sine-Gordon—Thirring equivalence in the presence of a boundary
نویسندگان
چکیده
In this paper, the relationship between the sine-Gordon model with an integrable boundary condition and the Thirring model with boundary is discussed and the reflection R-matrix for the massive Thirring model, which is related to the physical boundary parameters of the sine-Gordon model, is given. The relationship between the the boundary parameters and the two formal parameters appearing in the work of Ghoshal and Zamolodchikov is discussed. e-mail : [email protected] Permanent address Permanent address
منابع مشابه
Massless Sine-Gordon and Massive Thirring Models: proof of the Coleman’s equivalence
We prove the Coleman’s conjecture on the equivalence between the massless Sine-Gordon model with finite volume interaction and the Thirring model with a finite volume mass term.
متن کاملOn the equivalence between sine–Gordon model and Thirring model in the chirally broken phase of the Thirring model
We investigate the equivalence between Thirring model and sine–Gordon model in the chirally broken phase of the Thirring model. This is unlike all other available approaches where the fermion fields of the Thirring model were quantized in the chiral symmetric phase. In the path integral approach we show that the bosonized version of the massless Thirring model is described by a quantum field th...
متن کاملMassless Sine–Gordon and Massive Thirring Models: Proof of the Coleman’s Eequivalence
We prove the Coleman’s conjecture on the equivalence between the massless Sine-Gordon model with finite volume interaction and the Thirring model with a finite volume mass term.
متن کاملEquivalence of the Sine-Gordon and Massive Thirring Models at Finite Temperature
Using the path-integral approach, the quantum massive Thirring and sine-Gordon models are proven to be equivalent at finite temperature. This result is an extension of Coleman’s proof of the equivalence between both theories at zero temperature. The usual identifications among the parameters of these models also remain valid at T 6= 0.
متن کاملFinite Size Corrections in Massive Thirring Model
We calculate for the first time the finite size corrections in the massive Thirring model. This is done by numerically solving the equations of periodic boundary conditions of the Bethe ansatz solution. It is found that the corresponding central charge extracted from the 1/L term is around 0.4 for the coupling constant of g0 = − π 4 and decreases down to zero when g0 = − π 3 . This is quite dif...
متن کامل