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On the origin of superselection rules and different solutions of thirring model

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Abstract

The normal forms of different one- and two-parametric solutions of Thirring model are connected with each other by making use of generalized conformal shift transformations. A new alternative sources of superselection rules are shown.

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References

  1. S. E. Korenblit and V. V. Semenov, “Massless Thirring Model in Canonical Quantization Scheme,” J. Nonlin. Math. Phys. 18, 65 (2011); arXiv:1003.1439 v.2 [hep-th]; S. E. Korenblit and V. V. Semenov, “On Fermionic Tilde Conjugation Rules and Thermal Bosonization. Hot and Cold Thermofields,” Phys. Part. Nucl. Lett. 8, 779 (2011); arXiv:1108.5392 [hep-th]; V. V. Semenov and S. E. Korenblit, “Finite Temperature Thirring Model: From Linearization through Canonical Transformations to Correct Normal Form of Thermofield Solution,” arXiv:1109.2278 [hep-th].

    Article  MathSciNet  MATH  Google Scholar 

  2. B. Klaiber, Lectures in Theoretical Physics, Univ. of Colorado, Boulder, 1967, Ed. by A. Barut and W. Brittin (Gordon and Breach, New York, 1968).

    Google Scholar 

  3. G. F. Dell’Antonio, Y. Frishman, and D. Zwanziger, “Thirring Model in Terms of Currents: Solution and Light-Cone Expansions,” Phys. Rev. D: Part. Fields 6, 988 (1972).

    Article  Google Scholar 

  4. M. Faber and A. N. Ivanov, “On the Equivalence Between Sine-Gordon Model and Thirring Model in the Chirally Broken Phase of the Thirring Model,” Eur. Phys. J. C 20, 723 (2001); M. Faber and A. N. Ivanov, “On Free Massless (Pseudo-) Scalar Quantum Field Theory in (1+1)-Dimensional Space-Time,” Eur. Phys. J. C 24, 653 (2002); T. Fujita, M. Hiramoto, T. Homma, and H. Takahashi, “New Vacuum of Bethe Ansatz Solutions in Thirring Model,” J. Phys. Soc. Jpn. 74, 1143 (2005); T. Fujita, M. Hiramoto, and H. Takahashi, “Re-Interpretation of Spontaneous Symmetry Breaking in Quantum Field Theory and Goldstone Theorem,” hep-th/0510151.

    Article  ADS  MATH  Google Scholar 

  5. S. Mandelstam, “Soliton Operators for the Quantized Sine-Gordon Equation,” Phys. Rev. D 11, 3026 (1975); S. Coleman, “Quantum Sine-Gordon Equation as the Massive Thirring Model,” Phys. Rev. D: Part. Fields 11, 2088 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  6. N. N. Bogoliubov, A. A. Logunov, A. I. Oksak, and I. T. Todorov, General Principles of Quantum Field Theory (Kluwer Academic, Boston, 1990.

    Book  Google Scholar 

  7. A. I. Oksak, “Non-Fock Linear Boson Systems and Their Applications in Two-Dimensional Models,” Teor. Mat. Fiz. 48, 297 (1981).

    Article  MathSciNet  Google Scholar 

  8. G. Morchio, D. Pierotti, and F. Strocchi, “Infrared and Vacuum Structure in Two-Dimensional Local Quantum Field Theory Models. Fermion Bosonization,” J. Math. Phys. 33, 777 (1992).

    Article  MathSciNet  ADS  Google Scholar 

  9. C. Itzykson and J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1980).

    Google Scholar 

  10. V. A. Rubakov, Classical Gauge Fields. Theories with Fermions. Noncommutative Theories (URSS, Moscow, 2005) [in Russian].

    Google Scholar 

  11. S. J. Chang and R. Rajaraman, “Chiral Vertex Operators in Off-Conformal Theory: the Sine-Gordon Example,” Phys. Rev. D 53, 2102 (1996).

    Article  MathSciNet  ADS  Google Scholar 

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  1. Irkutsk State University, Irkutsk, 664003, Russia

    S. E. Korenblit & V. V. Semenov

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  1. S. E. Korenblit
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  2. V. V. Semenov
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Correspondence to S. E. Korenblit.

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Korenblit, S.E., Semenov, V.V. On the origin of superselection rules and different solutions of thirring model. Phys. Part. Nuclei Lett. 9, 780–784 (2012). https://doi.org/10.1134/S1547477112070102

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