%0 Book Section %1 statphys23_0047 %A Dudka, M. %A Folk, R. %A Moser, G. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K critical dynamics field-theory phase statphys23 superconductor topic-2 transition %T Gauge Dependence of the Critical Dynamics at the Superconducting Transition %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=47 %X The critical dynamics of superconductors in the charged regime is reconsidered within field-theory. For the dynamics the Ginzburg-Landau model with complex order parameter coupled to the gauge field suggested earlier Lannert et al. Phys. Rev. Lett. 92, 097004 (2004) is used. Assuming relaxational dynamics for both quantities the RG functions within one loop approximation are recalculated for different choices of the gauge. An important question in calculating critical properties like the critical exponents is their dependence on the gauge used for the gauge field. Physically observable quantities should be independent of the specific gauge used. Another important issue not considered so far in the discussion of the dynamical critical behavior of superconductors concerns the time scales entering the problem. One has to discriminate between the time scale for the order parameter and its dynamic critical exponent $z_OP$ and the time scale of the gauge field and its dynamic critical exponent $z_A$. The dynamic critical exponents are different if weak scaling holds, otherwise one says the dynamic correlation functions obey strong scaling. A gauge independent result for the divergence of the measurable electric conductivity is obtained only at the weak scaling fixed point, unstable in one loop order. This work was supported by the Fonds zur Foerderung der wissenschaftlichen Forschung under Project No. P16574

@incollection{statphys23_0047, abstract = {The critical dynamics of superconductors in the charged regime is reconsidered within field-theory. For the dynamics the Ginzburg-Landau model with complex order parameter coupled to the gauge field suggested earlier [Lannert et al. Phys. Rev. Lett. 92, 097004 (2004)] is used. Assuming relaxational dynamics for both quantities the RG functions within one loop approximation are recalculated for different choices of the gauge. An important question in calculating critical properties like the critical exponents is their dependence on the gauge used for the gauge field. Physically observable quantities should be independent of the specific gauge used. Another important issue not considered so far in the discussion of the dynamical critical behavior of superconductors concerns the time scales entering the problem. One has to discriminate between the time scale for the order parameter and its dynamic critical exponent $z_{OP}$ and the time scale of the gauge field and its dynamic critical exponent $z_A$. The dynamic critical exponents are different if weak scaling holds, otherwise one says the dynamic correlation functions obey strong scaling. A gauge independent result for the divergence of the measurable electric conductivity is obtained only at the weak scaling fixed point, unstable in one loop order. This work was supported by the Fonds zur Foerderung der wissenschaftlichen Forschung under Project No. P16574}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Dudka, M. and Folk, R. and Moser, G.}, biburl = {https://www.bibsonomy.org/bibtex/258ff1e49df3271cc6be919e17917f3e2/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {5ba0774f26ab818268d2ab5eceb9053a}, intrahash = {58ff1e49df3271cc6be919e17917f3e2}, keywords = {critical dynamics field-theory phase statphys23 superconductor topic-2 transition}, month = {9-13 July}, timestamp = {2007-06-20T10:16:10.000+0200}, title = {Gauge Dependence of the Critical Dynamics at the Superconducting Transition}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=47}, year = 2007 }