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Lorentz covariance of theP(φ)2 quantum field theory without higher order estimates
Authors:Young Moon Park
Affiliation:(1) Department of Physics, Indiana University Bloomington, Indiana, USA;(2) Present address: Department of Mathematical Science, IBM Watson Research Center, 10598 Yorktown Heights, N.Y., USA
Abstract:We give a simple proof of Lorentz covariance for theP(phgr)2 model without using the higher order estimates: For each Poincaré transformation {a, Lambda} and each bounded regionB of Minkowski space there exists a unitary operatorU which correctly transforms the Heisenberg picture field operator:U phgr(f)U*=phgr(f(a,harr)),f isinC0infin (B).
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