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The 1/n expansion in the Gross-Neveu model: Conformal bootstrap calculation of the index η in order 1/n 3

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Abstract

Using the conformal invariance of the Green's functions for the fields in the Gross-Neveu model in the critical regime that was proved earlier, we now use the conformal-bootstrap method for arbitrary space dimensiond to calculate the critical dimension of the master field (index η) in order 1/n 3 and of the auxiliary field in order 1/n 2, i.e., to an order higher by one than the previously known results.

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Authors
  1. A. N. Vasil'ev
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  2. S. É. Derkachev
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  3. N. A. Kivel'
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  4. A. S. Stepanenko
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Additional information

In memory of M. K. Polivanov

St Petersburg State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 94, No. 2, pp. 179–192, February, 1993.

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Vasil'ev, A.N., Derkachev, S.É., Kivel', N.A. et al. The 1/n expansion in the Gross-Neveu model: Conformal bootstrap calculation of the index η in order 1/n 3 . Theor Math Phys 94, 127–136 (1993). https://doi.org/10.1007/BF01019324

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  • DOI: https://doi.org/10.1007/BF01019324

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