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The Yukawa2 quantum field theory: Lorentz invariance

✍ Scribed by Edward P. Osipov


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
776 KB
Volume
125
Category
Article
ISSN
0003-4916

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✦ Synopsis


The 'Yukawa quantum field theory in two-dimensional space-time is considered. It is proved that the CPT invariant states with periodic boundary conditions for the (renormalized) Yukawa* model without cutoffs are Lorentz invariant. Contents. 1. Introduction. 2. Convergence of the Hamiltonians with periodic and free boundary conditions. 3. Consistency of the automorphisms with periodic and free boundary conditions 4. Proof of the spectrum condition and Lorentz invariance (Theorem 1.1). Y'o(h> : = i: s d.x &,*(x> h,(x) + i j-dx &-"(x) h,(x) tY=l a=3


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