Related papers: Path Integral Bosonization of the Massive Thirring…
We construct a procedure for Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ) renormalization of a rough path in view of the relation between rough path theory and regularity structure. We also provide a plain expression of the BPHZ-renormalized…
This paper has been withdrawn since it was an inadvertant double submission. An updated version of the original submission can be found at quant-ph/0505131
This paper has been withdrawn by the authors due to a crucial error.
This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.
Reason for withdrawal: There is a serious mistake in the calculation of the divisor of the rational section used in the proof of Prop. 2.2.1., and with the correct value the argument does not work.
This paper has been withdrawn, because of an error in the proof of the main Theorem
This paper has been withdrawn by the author due to a error in attachment of source file.
This paper has being withdrawn by the authors due to an error in the conclusion.
This paper has been withdrawn by the authors due to a more research needed to estimate $h^{*}_{n}(b)$ which really should be written as $h^{*}_{n}(b,A)$ for $b\in \Gamma (t)$.
This paper was withdrawn by arXiv admin due to authors' misrepresentation of identity/affiliation.
This paper has been withdrawn. See v1 still available to understand the problem: Proposition 2.2 is false. The error in the proof is in claim (3). Then, the whole paper collapses. We do not have any correction for now. We apologize to…
This paper has been withdrawn by the author due to a crucial sign error in some equations
This paper is withdrawn by the authors, a better version is available as hep-ph/0505139.
This paper has been withdrawn.
Paper has been withdrawn for major repairs.
This paper has been withdrawn by the authors due to an error.
This paper has been withdrawn by the author, due an error in computing the invariance of the so(4,1) and so(3,2) "inner product."
This paper has been withdrawn by the author due to a crucial errors.
This paper has been withdrawn by the author. The central result is now included in quant-ph/0309056 (as in the journal publication!). An erratum on the Heisenberg perturbation series estimate is also included therein.
This paper has been withdraw by the auhor due to a mistake in classification of the algebra