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Renormalization of a quadratic interaction in the Hamiltonian formalism

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Abstract

The method of the dressing transformation is used to perform a mass renormalization of a neutral scalar free field in the Hamiltonian formalism, for arbitrary space dimension. The resulting situation is analyzed by means of a Bogoliubov transformation, and seen to yield the expected results.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique, Faculté des Sciences d'Orsay, France

    J. Ginibre

  2. Istituto di Fisica dell'Università di Bologna, Italy

    G. Velo

Authors
  1. J. Ginibre
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  2. G. Velo
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Ginibre, J., Velo, G. Renormalization of a quadratic interaction in the Hamiltonian formalism. Commun.Math. Phys. 18, 65–81 (1970). https://doi.org/10.1007/BF01649639

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  • DOI: https://doi.org/10.1007/BF01649639

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