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Absence of classical lumps in constrained systems

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Abstract

We prove the absence of classical lumps for a large class of constrained systems. In particular we prove that there is no classical lump in the 0(N) non linear σ-model in 2 dimensional space time.

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References

  1. Daschen, R., Hasslacher, B., Neveu, A.: Phys. Rev. D10, 4114–4130 (1974); D11, 3424 (1975)

    Google Scholar 

  2. Coleman, S.: Lectures at the 1975 International School of Subnuclear Physics “Ettore Majorana”

  3. Jackiw, R.: Quantum meaning of classical field theory. Rev. Mod. Phys.49, 681–706 (1977)

    Article  Google Scholar 

  4. Pohlmeyer, K.: Integrable Hamiltonian systems and interactions through quadratic constraints. Commun. math. Phys.46, 207–221 (1976)

    Article  Google Scholar 

  5. Derrick, G.H.: Comments on nonlinear wave equations as models for elementary particles. J. Math. Phys.5, 1252–1254 (1964)

    Article  Google Scholar 

  6. Hobart, R.H.: On the instability of a class of unitary field models. Proc. Phys. Soc. Lond.82, 201–203 (1963)

    Article  Google Scholar 

  7. Prasad, M.K., Sommerfield, C.M.: Phys. Rev. Letters35, 760–762 (1975)

    Article  Google Scholar 

  8. Bogomol'nyi, E.B.: The stability of classical solutions. Sov. J. Nucl. Phys.24, 449–454 (1976)

    Google Scholar 

  9. Deser, S.: Absence of static solutions in source-free Yang-Mills theory. Phys. Lett.64B, 463–464 (1976)

    Google Scholar 

  10. Pagels, H.: Absence of periodic solutions to scale invariant classical field theories. Phys. Lett.68B, 466 (1977)

    Google Scholar 

  11. Coleman, S.: There are no classical glueballs. Commun. math. Phys.55, 113–116 (1977)

    Article  Google Scholar 

  12. Weder, R.: Absence of classical lumps. Commun. math. Phys.57, 161–164 (1977)

    Article  Google Scholar 

  13. Callan, C.G., Jr., Coleman, S., Jackiw, R.: A new improved energy-momentum tensor. Ann. Phys.59, 42–73 (1970)

    Article  Google Scholar 

  14. Weder, R.: Instantons and renormalization. Preprint, Princeton University

  15. Collins, J.C., Duncan, A., Joglekar, S.D.: Phys. Rev. D16, 438 (1977)

    Google Scholar 

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Authors and Affiliations

  1. Departments of Physics and Mathematics, Princeton University, 08540, Princeton, New Jersey, USA

    R. Weder

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  1. R. Weder
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Communicated by A. Jaffe

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Weder, R. Absence of classical lumps in constrained systems. Commun.Math. Phys. 63, 1–8 (1978). https://doi.org/10.1007/BF02156125

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  • DOI: https://doi.org/10.1007/BF02156125

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