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Lorentz covariance of theP(φ)2 quantum field theory without higher order estimates

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Abstract

We give a simple proof of Lorentz covariance for theP(φ)2 model without using the higher order estimates: For each Poincaré transformation {a, Λ} and each bounded regionB of Minkowski space there exists a unitary operatorU which correctly transforms the Heisenberg picture field operator:U φ(f)U*=φ(f (a,↔)),f ∈C ∞0 (B).

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  1. Young Moon Park

    Present address: Department of Mathematical Science, IBM Watson Research Center, 10598, Yorktown Heights, N.Y., USA

Authors and Affiliations

  1. Department of Physics, Indiana University Bloomington, Indiana, USA

    Young Moon Park

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  1. Young Moon Park
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Park, Y.M. Lorentz covariance of theP(φ)2 quantum field theory without higher order estimates. Commun.Math. Phys. 34, 179–192 (1973). https://doi.org/10.1007/BF01645679

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  • DOI: https://doi.org/10.1007/BF01645679

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