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BRST Invariant Theory of a Generalized 1 + 1 Dimensional Nonlinear Sigma Model with Topological Term

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Abstract

We give a generalized Lagrangian density of 1 + 1 Dimensional O(3) nonlinear σ model with subsidiary constraints, different Lagrange multiplier fields and topological term, find a lost intrinsic constraint condition, convert the subsidiary constraints into inner constraints in the nonlinear σ model, give the example of not introducing the lost constraint \(\dot N\) = 0, by comparing the example with the case of introducing the lost constraint, we obtain that when not introducing the lost constraint, one has to obtain a lot of various non-intrinsic constraints. We further deduce the gauge generator, give general BRST transformation of the model under the general conditions. It is discovered that there exists a gauge parameter β originating from the freedom degree of BRST transformation in a general O(3) nonlinear sigma model, and we gain the general commutation relations of ghost field.

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Authors and Affiliations

  1. Institute of Theoretical Physics, College of Applied Mathematics and Physics, Beijing University of Technology, Beijing, 100022, P. R. China

    Yong-Chang Huang & Kai-Hua Yang

  2. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, P.R. China

    Xi-Guo Lee

  3. CCAST (World Lab.), P. O. Box 8730, Beijing, 100080, P. R. China

    Yong-Chang Huang

  4. Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou, 730000, P.R. China

    Yong-Chang Huang & Xi-Guo Lee

  5. Institute of Theoretical Physics, College of Applied Sciences, Beijing University of Technology, Beijing, 100022, P.R. China

    Yong-Chang Huang

Authors
  1. Yong-Chang Huang
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  2. Kai-Hua Yang
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  3. Xi-Guo Lee
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Correspondence to Yong-Chang Huang.

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PACS numbers: 11.10.Lm; 11.30.Ly

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Huang, YC., Yang, KH. & Lee, XG. BRST Invariant Theory of a Generalized 1 + 1 Dimensional Nonlinear Sigma Model with Topological Term. Int J Theor Phys 45, 2396–2406 (2006). https://doi.org/10.1007/s10773-006-9209-x

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  • DOI: https://doi.org/10.1007/s10773-006-9209-x

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