Related papers: Path Integral Bosonization of the Massive Thirring…
Path integral techniques in collective fields are shown to be a useful analytical tool to reformulate a field theory defined in terms of microscopic quark (gluon) degrees of freedom as an effective theory of collective boson (meson) fields.…
Withdrawn. Replaced by quant-ph/0308160 (cf accompanying txt file)
This paper has been withdrawn by the authors due to substantial changes.
This paper has been withdrawn by the author due to an error.
This paper has been withdrawn by the author, due to an error in Proposition 2.2.
This paper has been withdrawn by the author due a few mistakes in the paper.
This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.
This paper has been withdrawn by the author due to a crucial sign error in equation.
The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.
This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.
The paper is being withdrawn since the authors felt that the submission is a little premature after a careful reading by some of the experts in this field.
This paper has been withdrawn due to an error in the proof of the main theorem.
This paper has been superseded by hep-th/0307227.
This paper has been withdrawn by the author
This paper has been withdrawn by the authors, due to issues concerning the use of unpublished experimental data.
There have been comments on the starting paper, hep-th/0106074, which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, to give more clear presentation, this paper is withdrawn.
The paper has been withdrawn by the author.
This paper has been withdrawn by the authors due to a mistake in one of the proofs
While the authors of Batch Normalization (BN) identify and address an important problem involved in training deep networks-- \textit{Internal Covariate Shift}-- the current solution has certain drawbacks. For instance, BN depends on batch…
This paper has been withdrawn, because the argument for generation of Goldstone modes is incorrect.