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CPT- and Lorentz-Transformations in Two-Dimensional Q.F.T

In: Mathematical Physics X

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  • H. J. Borchers

    (Universität Göttingen, Institut für Theoretische Physik)

Abstract

The C.P.T.-theorem plays an important role in relativistic quantum field theory. In 1957 R.Jost [3] gave a proof of the C.P.T.-theorem in the frame of Wightman-field theory in which he revealed the connection of the C.P.T.-symmetry with the assumptions of positivity of the energy, Lorentz-invariance, and the standard locality assumptions. In this proof the existence of a vacuum state was essential. But up to now there is no proof of the C.P.T.-theorem in the theory of local observables in the sense of Araki, Haag, and Kastler.

Suggested Citation

  • H. J. Borchers, 1992. "CPT- and Lorentz-Transformations in Two-Dimensional Q.F.T," Springer Books, in: Konrad Schmüdgen (ed.), Mathematical Physics X, pages 399-403, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-77303-7_43
    DOI: 10.1007/978-3-642-77303-7_43
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