Related papers: Luttinger liquid with asymmetric dispersion

A modified version of this paper is under process and with a new title and abstract. Hence, this version of the article is completely withdrawn.

This paper was withdrawn by the authors due to significant new findings. A new paper on the same topic has been submitted as physics/0310159.

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

This paper has been withdrawn Abstract: This paper has been withdrawn by the author due to the publication.

This paper has been withdrawn by the authors, due a crucial error in Sec. 3.

This paper has been withdrawn by the author

The paper was withdrawn by the author. It contained various errors.

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

This paper has been withdrawn by the author due to a crucial error in the submission action.

This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.

This paper has been withdrawn by the authors, since the reference citation were not appropriately arranged.

This paper has been withdrawn by the authors.

This paper has been withdrawn by the author because overcame by arXiv:0910.4694

This paper was withdrawn by the author.

This article has been withdrawn.

This paper has been withdrawn by the author since the proof of Lemma 8 is not correct.

This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author for further investigation.