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Critical properties of the double-frequency sine-Gordon model with applications

M. Fabrizio, A.O. Gogolin, A.A. Nersesyan

arXiv:cond-mat/0001227Nuclear Physics BAug 1, 200095 citations

The two-boundary sine-Gordon model

Jean-Sébastien Caux, Hubert Saleur, F. Siano

arXiv:cond-mat/0306328Nuclear Physics BOct 9, 200334 citations

Finite size effects in the XXZ and sine-Gordon models with two boundaries

Changrim Ahn, Rafael I. Nepomechie

arXiv:hep-th/0309261Nuclear Physics BDec 2, 200333 citations

A nonperturbative study of phase transitions in the multi-frequency sine-Gordon model

Gábor Zsolt Tóth

The phase spaces of the two- and three-frequency sine-Gordon models are examined in the framework of the truncated conformal space approach. The focus is mainly on a tricritical point in the phase space of the three-frequency model. We give substantial evidence that this point exists. We also find the critical line in the phase space and present TCSA data showing the change of the spectrum on the critical line as the tricritical endpoint is approached. We find a few points of the line of first-order transition as well.The phase spaces of the two- and three-frequency sine-Gordon models are examined in the framework of the truncated conformal space approach. The focus is mainly on a tricritical point in the phase space of the three-frequency model. We give substantial evidence that this point exists. We also find the critical line in the phase space and present TCSA data showing the change of the spectrum on the critical line as the tricritical endpoint is approached. We find a few points of the line of first-order transition as well.

arXiv:hep-th/0406139Journal of Physics A Mathematical and GeneralSep 30, 200420 citations

The Sine-Gordon model revisited I

Giuliano Niccoli, Teschner, J.

Jan 1, 200940 citations

Nonperturbative Functional Renormalization-Group Approach to the Sine-Gordon Model and the Lukyanov-Zamolodchikov Conjecture

Romain Daviet, N. Dupuis

We study the quantum sine-Gordon model within a nonperturbative functional renormalization-group approach (FRG). This approach is benchmarked by comparing our findings for the soliton and lightest breather (soliton-antisoliton bound state) masses to exact results. We then examine the validity of the Lukyanov-Zamolodchikov conjecture for the expectation value ⟨e^{(i/2)nβφ}⟩ of the exponential fields in the massive phase (n is integer and 2π/β denotes the periodicity of the potential in the sine-Gordon model). We find that the minimum of the relative and absolute disagreements between the FRG results and the conjecture is smaller than 0.01.We study the quantum sine-Gordon model within a nonperturbative functional renormalization-group approach (FRG). This approach is benchmarked by comparing our findings for the soliton and lightest breather (soliton-antisoliton bound state) masses to exact results. We then examine the validity of the Lukyanov-Zamolodchikov conjecture for the expectation value ⟨e^{(i/2)nβφ}⟩ of the exponential fields in the massive phase (n is integer and 2π/β denotes the periodicity of the potential in the sine-Gordon model). We find that the minimum of the relative and absolute disagreements between the FRG results and the conjecture is smaller than 0.01.

arXiv:1812.01908Physical Review LettersApr 19, 201932 citations

Nonperturbative study of the two-frequency sine-Gordon model

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