Related papers: Slave modes in systems with many absorbing states

The relationship between various methods to calculate the physical degrees of freedom for gauge invariant systems of a general form is established. The set of hidden parameters caused for the superfluous degrees of freedom is revealed.

This paper has been withdrawn by the authors as they feel it inappropriate to publish this paper for the time being.

This paper has been withdrawn by the authors due to substantial changes.

This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.

This paper was withdrawn by the author because the results already appeared in PRB 20, 4756 (1979).

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Unfortunately, after an imprudent sumbission of the paper to the e-print archive, I discovered in it many serious mistakes. So I draw back it .

This paper has been withdrawn by the authors due to a crucial error in calculation.

Withdrawn; originally put in incomplete form without permission

This paper has been withdrawn temporarily.

This paper has been withdrawn by the author due to some error in the result

Recently, classification problems of gapped ground state phases attract a lot of attention in quantum statistical mechanics. We explain about our operator algebraic approach to these problems.

The paper has been withdrawn by the author.

This paper has been withdrawn by the author due to some errors.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn.

This paper has been withdrawn.

This article has been withdrawn by the authors.