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Z 4-symmetric factorizedS-matrix in two space-time dimensions

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Abstract

The factorizedS-matrix with internal symmetryZ 4 is constructed in two space-time dimensions. The two-particle amplitudes are obtained by means of solving the factorization, unitarity and analyticity equations. The solution of factorization equations can be expressed in terms of elliptic functions. TheS-matrix contains the resonance poles naturally. The simple formal relation between the general factorizedS-matrices and the Baxter-type lattice transfer matrices is found. In the sense of this relation theZ 4-symmetricS-matrix corresponds to the Baxter transfer matrix itself.

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References

  1. Zamolodchikov, A.B., Zamolodchikov, Al.B.: Preprint ITEP-35; Ann. Phys. (to be published)

  2. Karowski, M., Thun, H., Truong, T., Weisz, P.: Phys. Lett.67B, 321–323 (1977)

    Google Scholar 

  3. Zamolodchikov, A.B.: Preprint ITEP-12 (1977)

  4. Karowski, M., Thun, H.: Nucl. Phys. B130, 295–305 (1977)

    Google Scholar 

  5. Zamolodchikov, A.B., Zamolodchikov, Al.B.: Nucl. Phys. B133, 525–535 (1978)

    Google Scholar 

  6. Zamolodchikov, A.B., Zamolodchikov, Al.B.: Phys. Lett72B, 481–483 (1978)

    Google Scholar 

  7. Berg, B., Karowski, M., Kurak, V., Weisz, P.: Nucl. Phys. B134, 125–134 (1978)

    Google Scholar 

  8. Berg, B., Weisz, P.: Preprint FUB/HEP Sept. 21/78

  9. Shankar, R., Witten, E.: Phys. Rev. D17, 2134–2143 (1978)

    Google Scholar 

  10. Pisarski, R.D.: Preprint, Princeton (1978)

  11. Baxter, R.J.: Ann. Phys.70, 193–228 (1972)

    Google Scholar 

  12. Iagolnitzer, D.: Phys. Rev. D18, 1275–1285 (1978)

    Google Scholar 

  13. Wilson, K.G.: Phys. Rev. D3, 1818–1846 (1971)

    Google Scholar 

  14. Gradshtein, I.S., Ryzhik, I.M.: Tables of integrals, series, and products. New York: Academic Press 1965

    Google Scholar 

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Authors and Affiliations

  1. L. D. Landau Institute for Theoretical Physics, The Academy of Sciences of the USSR, V-334, Moscow, USSR

    Alexander B. Zamolodchikov

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  1. Alexander B. Zamolodchikov
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Communicated by Ya. G. Sinai

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Zamolodchikov, A.B. Z 4-symmetric factorizedS-matrix in two space-time dimensions. Commun.Math. Phys. 69, 165–178 (1979). https://doi.org/10.1007/BF01221446

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  • DOI: https://doi.org/10.1007/BF01221446

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