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2016

Correlation function of four spins in the percolation model

Dotsenko, Vladimir S.

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By using the Coulomb gas technics we calculate the four-spin correlation function in the percolation $q\rightarrow 1$ limit of the Potts model.

It is known that the four-point functions define the actual fusion rules of a particular model.
In this respect, we find that fusion of two spins, of dimension $\Delta_{\sigma}=\frac{5}{96}$, produce a new channel, in the 4-point function, which is due to the operator with dimension $\Delta=5/8$.

Correlation function of four spins in the percolation model · Around

Built on

A. Selberg, Norsk Mat. Tidsskrift 26
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A. A. Belavin, A. M. Polyakov, A. B. Zamolodchikov, Nucl. Phys. B 241
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Vl. S. Dotsenko, Nucl. Phys. B 235
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Vl. S. Dotsenko and V. A. Fateev, Nucl. Phys. B 240
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Similar

Vl. S. Dotsenko and V. A. Fateev, Nucl. Phys. B 251
1985
Cited alongside, same era.
Al. B. Zamolodchikov, Theor. Math. Phys. 142
2005
Cited alongside, same era.
G. Delfino and J. Viti, J. Phys. A: Math. Theor. 44
2011
Cited alongside, same era.
Yacine Ikhlef, Jesper Lykke Jacobsen, Hubert Saleur, arXiv: 1509.03538
Cited in the paper.
Vl. S. Dotsenko, arXiv: 1601.07840; Nucl. Phys., to appear
Cited in the paper.

Then

G. Delfino and J. Viti, Nucl. Phys. B 852
2011
Later among the works it cites.
Vl. S. Dotsenko, Séries de cours sur la théorie conforme, http://cel.archives-ouvertes.fr/cel-00092929/en/ written in 1991, lectured 1994 - 2011
2011
Later among the works it cites.
M. Picco, R. Santachiara, J. Viti and G. Delfino, Nucl. Phys. B 875
2013
Later among the works it cites.

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