Addendum to: "On the anomalous dimension for the transversity distribution"
We review the results of our previous publication [Phys. Rev. D63, 116001 (2001); hep-ph/0012226] in the light of recent calculations and comments.
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arXiv subjects
Ralf Kuhn
Publications and source records attributed to Ralf Kuhn.
Nonuniqueness of the $λΦ^4$-vacuum
We prove that the massless neutral $λΦ^4$-theory does not possess a unique vacuum. Based on the Wightman axioms the non-existence of a state which preserves Poincar{é} and scale invariance is demonstrated non-perturbatively for a non-vanishing self-interaction. We conclude that it is necessary to break the scale invariance in order to define a vacuum state. The renormalized vacuum expectation value of the energy-momentum tensor is derived from the two-point Wightman function employing the point-splitting technique and its relation to the phionic and the scalar condensate is addressed. Possible implications to other self-interacting field theories and to different approaches in quantum field theory are pointed out. PACS: 11.10.Cd, 11.15.Tk, 11.30.Qc
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On the anomalous dimension for the transversity distribution
We show that a standard calculation of the splitting function for the nonsinglet structure function h_1 does not lead to the expected result. The calculation is compared to the corresponding derivation of the splitting function for the nonsinglet polarized structure function g_1. We analyze possible explanations for the unexpected result and discuss its implications. PACS: 11.10.Hi; 11.40.-q; 11.55.Ds; 13.88.+e
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