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Comments on a recent solution to Wightman's axioms

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Abstract

A class of exact Wightman functionals satisfying all fundamental physical requirements in an arbitrary number of space-time dimensions, which bear the appearance of describing interacting fields, was recently constructed by C. Read [1]. It is shown here, that the construction can be considerably generalized, and that even the enlarged class belongs to the Borchers class of a system of generalized free fields.

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References

  1. Read, C. J.: Quantum field theories in all dimensions. Univ. Cambridge (UK) preprint (1994), to appear in Commun. Math. Phys.

  2. Streater, R. F., Wightman, A. S.: PCT, Spin and Statistics, and All That. New York-Amsterdam: W. A. Benjamin, 1964 For a profound guide to more recent achievements of the theory see also: Streater, R. F.: Outline of axiomatic relativistic quantum field theory. Rep. Progr. Phys.38, 771–846 (1975), especially Chapter 3

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  4. Borchers, H.-J.: Algebraic aspects of Wightman field theory. In: R. N. Sen and C. Weil (eds.), Statistical Mechanics and Field Theory, Haifa Lectures 1971; New York: Halstedt Press, 1972

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Communicated by D. Brydges

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Rehren, KH. Comments on a recent solution to Wightman's axioms. Commun.Math. Phys. 178, 453–465 (1996). https://doi.org/10.1007/BF02099457

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  • DOI: https://doi.org/10.1007/BF02099457

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