Related papers: Conformally invariant energies of knots II
This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.
This an article about some elementary geometric and combinatorial natures of various knot energies. A related "new" knot invariant -- the X-crossing number -- is introduced.
The paper has been withdrawn by the author, due to a critical error stemming from the defined template.
This paper is currently withdrawn and is being revised by the authors.
This paper has been withdrawn by the authors due to substantial changes.
This paper has been withdrawn by the authors, due to the discovery of paper 0201028 which predates it and contains most of it's results.
This paper has been withdrawn by the authors due to numerical problems to get viable results.
This paper has been withdrawn by the author.
There have been comments on this paper which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, this paper is withdrawn by the author for more clear presentation.
The paper has been withdrawn by authors.
This paper has been withdrawn due to an error. We plan to replace it with a corrected version.
This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.
This paper has been withdrawn by the author due to new results to be added.
This paper has been withdrawn by the authors, since it has been merged with Part I (ID 0802.3570)
This paper has been withdrawn by the author due to unspecified problems.
This paper has been withdrawn by the author and replaced by arXiv:0809.4751
This paper has been withdrawn by the authors, due to inappropriate discussions in Discussions.
The paper has been withdrawn by the author.
The paper ``Transversality of the Gluon Self-Energy at Finite Temperature in General Covariant Gauges'' has been withdrawn.
This paper has been withdrawn by the author due to the appearence of enlarged version with one new author name more (hep-ph/0012293).