Issue |
Europhys. Lett.
Volume 45, Number 5, March I 1999
|
|
---|---|---|
Page(s) | 612 - 618 | |
Section | Condensed matter: electronic structure, electrical, magnetic and optical properties | |
DOI | https://doi.org/10.1209/epl/i1999-00211-3 | |
Published online | 01 September 2002 |
Gauge dependence of the order parameter anomalous dimension in the Ginzburg-Landau model and the critical fluctuations in superconductors
Centre de Physique Théorique, Ecole Polytechnique - F-91128
Palaiseau Cedex, France
Received:
23
September
1998
Accepted:
4
January
1999
The critical fluctuations of superconductors are discussed in a
fixed dimension scaling
suited to describe the type-II regime. The gauge dependence of the anomalous
dimension of the scalar field is established exactly from the
Ward-Takahashi identities. Its fixed-point value gives the η
critical exponent and it is shown that η is gauge independent, as
expected on physical grounds. In the scaling considered, η is found
to be zero at 1-loop order, while . This result is
just the 1-loop values for the XY model obtained in the fixed-dimension
renormalization group approach. It is shown that this XY behavior holds at
all orders.
The result
should be contrasted with the negative values
frequently reported in the literature.
PACS: 74.20.De – Phenomenological theories (two-fluid, Ginzburg-Landau, etc.) / 11.10.Hi – Renormalization group evolution of parameters
© EDP Sciences, 1999
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.