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Introduction

  • Conference paper
New Non-Perturbative Methods and Quantization on the Light Cone

Part of the book series: Centre de Physique des Houches ((LHWINTER,volume 8))

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Abstract

In his original paper Dirac [1] showed that the uniqueness of the non-relativistic hamiltonian description is lost in the relativistic case. For massive particles several initial surfaces are possible which cut the world lines only once. Among them the light front one has the largest stability group [2] : seven generators leave invariant the hypersurface τ = t + z = 0:

  • P x , P y , generators of transverse translation,

  • P z + P t , combined generator of translation in the (z, t) direction,

  • R z , generator of the rotations around the z axis in the light reference frame (LRF),

  • Λ, generator of boosts in the τ direction,

  • Q z (Q y ), sum of generators of boosts in the x(y) directions and of rotation around the y(x) axes.

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Author information

Authors and Affiliations

  1. LPM, Montpellier, France

    P. Grangé & A. Neveu

  2. MPI, Heidelberg, Germany

    H. C. Pauli

  3. OSU, Colombus, USA

    S. Pinsky

  4. Univ. Regensburg, Germany

    E. Werner

Authors
  1. P. Grangé
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  2. A. Neveu
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  3. H. C. Pauli
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  4. S. Pinsky
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  5. E. Werner
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Editor information

Editors and Affiliations

  1. LPM, Montpellier, France

    P. Grangé  & A. Neveu  & 

  2. MPI, Heidelberg, Germany

    H. C. Pauli

  3. OSU, Colombus, USA

    S. Pinsky

  4. Univ. Regensburg, Germany

    E. Werner

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© 1998 Springer-Verlag Berlin Heidelberg

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Grangé, P., Neveu, A., Pauli, H.C., Pinsky, S., Werner, E. (1998). Introduction. In: Grangé, P., Neveu, A., Pauli, H.C., Pinsky, S., Werner, E. (eds) New Non-Perturbative Methods and Quantization on the Light Cone. Centre de Physique des Houches, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08973-6_1

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  • DOI: https://doi.org/10.1007/978-3-662-08973-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64520-7

  • Online ISBN: 978-3-662-08973-6

  • eBook Packages: Springer Book Archive

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