Chiral sine-Gordon model

Yanagisawa, Takashi

doi:10.1209/0295-5075/113/41001

Cited by 25 publications

(22 citation statements)

References 41 publications

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“…There is the coexistent state indicated as AF-SC between these states. Parameters are t ′ = 0 and U/t = 18. crossover, 198) sine-Gordon model, [199][200][201][202] and Gross-Neveu model. 203)…”

Section: Discussionmentioning

confidence: 99%

Mechanism of High-Temperature Superconductivity in Correlated-Electron Systems

Yanagisawa¹

2019

Condensed Matter

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It is very important to elucidate the mechanism of superconductivity for achieving room temperature superconductivity. This paper is a short review article on the mechanism of high-temperature superconductivity. In the first half of this paper, we give a brief review on mechanisms of superconductivity in many-electron systems. We believe that hightemperature superconductivity may occur in a system with interaction of large-energy scale. Empirically, this is true for superconductors that have been found so far. In the second half of this paper, we discuss cuprate high-temperature superconductors. We argue that superconductivity of high temperature cuprates is induced by the strong on-site Coulomb interaction, that is, the origin of high-temperature superconductivity is the strong electron correlation. We show the results on the ground state of electronic models for high temperature cuprates on the basis of the optimization variational Monte Carlo method. A high-temperature superconducting phase will exist in the strongly correlated region.

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Section: Discussionmentioning

confidence: 99%

Mechanism of High-Temperature Superconductivity in Correlated-Electron Systems

Yanagisawa¹

2019

Condensed Matter

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“…The beta function is shown in Figure 9 as a function of g. We mention here that the coefficient N -2ofg 2 term is related with the Casimir invariant of the symmetry group O(N) [34,49].…”

Section: Recent Studies In Perturbation Theorymentioning

confidence: 99%

“…The sine-Gordon model also has universality [43][44][45][46][47][48][49]. The two-dimensional (2D) sine-Gordon model describes the Kosterlitz-Thouless transition of the 2D classical XY model [50,51].…”

Section: Introductionmentioning

confidence: 99%

Renormalization Group Theory of Effective Field Theory Models in Low Dimensions

Yanagisawa¹

2017

Recent Studies in Perturbation Theory

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We discuss the renormalization group approach to fundamental field theoretic models in low dimensions. We consider the models that are universal and frequently appear in physics, both in high-energy physics and condensed matter physics. They are the nonlinear sigma model, the φ 4 model and the sine-Gordon model. We use the dimensional regularization method to regularize the divergence and derive renormalization group equations called the beta functions. The dimensional method is described in detail.

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“…We consider tadpole diagrams to take account of the renormalization of α up to the lowest order of α ( Fig. 1) [6,[31][32][33]. Using the expansion cosh φ = 1 + (1/2)φ 2 + (1/4!…”

Section: A Renormalization Of αmentioning

confidence: 99%

Renormalization group analysis of the hyperbolic sine-Gordon model: Asymptotic freedom from cosh interaction

Yanagisawa

2019

Progress of Theoretical and Experimental Physics

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We present a renormalization group analysis for the hyperbolic sine-Gordon (sinh-Gordon) model in two dimensions. We derive the renormalization group equations based on the dimensional regularization method and the Wilson method. The same equations are obtained using both these methods. We have two parameters α and β ≡ √ t where α indicates the strength of interaction of a real salar field and t = β 2 is related with the normalization of the action. We show that α is renormalized to zero in the high-energy region, that is, the sinh-Gordon theory is an asymptotically free theory. We also show a non-renormalization property that the beta function of t vanishes in two dimensions.

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Chiral sine-Gordon model

Cited by 25 publications

References 41 publications

Mechanism of High-Temperature Superconductivity in Correlated-Electron Systems

Mechanism of High-Temperature Superconductivity in Correlated-Electron Systems

Renormalization Group Theory of Effective Field Theory Models in Low Dimensions

Renormalization group analysis of the hyperbolic sine-Gordon model: Asymptotic freedom from cosh interaction

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