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A low temperature expansion for classicalN-vector models. I. A renormalization group flow

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Abstract

A class of low temperature lattice classical spin models with a symmetry groupO(N) is considered, including the classical Heisenberg model. In this paper a renormalization group approach in a small field approximation is formulated and studied, with a goal to prove the so-called “spin wave picture” displaying massless behavior of the models.

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References

  1. Balaban, T., Imbrie, J., Jaffe, A.: Commun. Math. Phys.97, 299 (1985)

    Article  Google Scholar 

  2. 114, 257 (1988)

    Article  Google Scholar 

  3. Balaban, T.: Commun. Math. Phys.85, 603 (1982)

    Article  Google Scholar 

  4. 86, 555 (1982)

    Article  Google Scholar 

  5. 89, 571 (1983)

    Article  Google Scholar 

  6. 109, 249 (1987)

    Article  Google Scholar 

  7. 116, 1 (1988)

    Article  Google Scholar 

  8. Bleher, P. M., Major, P.: Commun. Math. Phys.125, 43 (1989)

    Article  Google Scholar 

  9. : Ann. Inst. Henri Poincaré, Phys. Theor.49, 1 (1988)

    Google Scholar 

  10. Glimm, J., Jaffe, A., Spencer, T.: Ann. Phys.101, 610, 631 (1976)

    Article  Google Scholar 

  11. Fröhlich, J., Simon, B., Spencer, T.: Commun. Math. Phys.50, 79 (1976)

    Article  Google Scholar 

  12. Fröhlich, J., Pfister, C.-E.: Commun. Math. Phys.89, 303 (1983)

    Article  Google Scholar 

  13. Negele, J.W., Orland, H.: Quantum Many-Particle Systems. Reading MA: Addison-Wesley (1988)

    Google Scholar 

  14. Schor, R., O'Carroll, M.: Common. Math. Phys.138, 487 (1991)

    Google Scholar 

  15. Zinn-Justin, J.: Quantum Field Theory and Critical Phenomena. Oxford: Oxford Science Publication, 1989

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Boston University, 02215, Boston, MA, USA

    Tadeusz Balaban

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  1. Tadeusz Balaban
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Additional information

Communicated by D. Brydges

The work has been partially supported by the NSF Grant DMS-9102639

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Balaban, T. A low temperature expansion for classicalN-vector models. I. A renormalization group flow. Commun.Math. Phys. 167, 103–154 (1995). https://doi.org/10.1007/BF02099355

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  • DOI: https://doi.org/10.1007/BF02099355

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