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Vacuum state of the quantum string without anomalies in any number of dimensions

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Il Nuovo Cimento A (1971-1996)

Summary

We show that the anomalies of the Virasoro algebra are due to the asymmetric behavior of raising and lowering operators with respect to the ground state of the string. With the adoption of a symmetric vacuum we obtain a non-anomalous theory in any number of dimensions, in particular forD = 4. PACS 11.25 - Theory of fundamental strings.

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References

  1. Green M. B., Schwarz J. H. andE. Witten E., Superstring Theory, Vol. 1, Introduction (Cambridge University Press) 1987. (See also the bibliography therein.)

  2. Scherk J., Rev. Mod. Phys., 47, No. 1 (1975).

  3. Schwartz J. H.,Phys. Rep.,89 (1982) 223.

    Article  ADS  MathSciNet  Google Scholar 

  4. See [1], eq. 2.1.47.

  5. See [1], eqs. 2.1.77 and 2.1.78.

  6. See [1], § 2.2.1.

  7. Bollini C. G. andOxman L.,Int. J. Mod. Phys. A,7 (1992) 6845.

    Article  ADS  MathSciNet  Google Scholar 

  8. Barci D. G., Bollini C. G. andRocca M. C.,Nuovo Cimento A,106 (1993) 603.

    Article  ADS  Google Scholar 

  9. Barci D. G., Bollini C. G. andRocca M. C.,Int. J. Mod. Phys. A,9 (1994) 3497.

    Article  ADS  MathSciNet  Google Scholar 

  10. Barci D. G., Bollini C. G., Oxman L. E. andROCCA M. C.,Int. J. Mod. Phys. A,9 (1994) 4169.

    Article  ADS  MathSciNet  Google Scholar 

  11. See [1], Chapter 4,World-sheet supersymmetry in String Theory, first paragraph.

  12. Wheeler J. A. andFeynman R. P.,Rev. Mod. Phys. A,17 (1945) 157.

    Article  ADS  Google Scholar 

  13. Wheeler J. A. andFeynman R. P.,Rev. Mod. Phys. A,21 (1949) 425.

    Article  ADS  MathSciNet  Google Scholar 

  14. See [1], § 2.3.1.

  15. Faddeev L. D. andPopov V. N.,Phys. Lett. B,25 (1967) 30.

    Article  ADS  Google Scholar 

  16. Faddeev L. D. andSlavnov A. A., Gauge Fields. Introduction to Quantum Theory (The Benjamin-Cummings Publishing Company, Inc.) 1980.

  17. See [1], eq. 3.1.35.

  18. See [1], eqs. 3.1.48 and 3.1.49.

  19. Barci D. G. andOxman L.,Int. J. Mod. Phys. A,9 (1994) 2103.

    Google Scholar 

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This work was partially supported by Comision de Investigaciones Cientificas, Pcia. de Buenos Aires; Argentina.

We are grateful toO. Civitarese, A. L. De Paoli, J. D. Edelstein, H. Falomir, C. M. Naon, L. E. Oxman, M. Santangelo andH. Vucetich for helpful discussions.

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Bollini, C.G., Rocca, M.C. Vacuum state of the quantum string without anomalies in any number of dimensions. Il Nuovo Cimento A (1971-1996) 110, 353–361 (1997). https://doi.org/10.1007/BF03035886

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PACS 11.25

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