Effective Action and Renormalization Group Flow of Anisotropic Superconductors

نویسنده

  • Steven Weinberg
چکیده

We calculate the effective action of a superconductor, without assuming that either the electron-electron potential or the Fermi surface obey rotational invariance. This approach leads to the same gap equation and equilibrium free energy as more conventional methods. The results are used to obtain the Gell-Mann Low renormalization group equations for the electron-electron potential. Research supported in part by the Robert A. Welch Foundation and NSF Grant PHY 9009850. Internet address [email protected].

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Renormalization-group approach to anisotropic superconductors at finite temperature.

A renormalization group (RG) analysis of the superconductive instability of an anisotropic fermionic system is developed at a finite temperature. The method appears a natural generalization of Shankar’s approach to interacting fermions and of Weinberg’s discussion about anisotropic superconductors at T = 0. The need of such an extension is fully justified by the effectiveness of the RG at the c...

متن کامل

Phase transitions in anisotropic superconducting and magnetic systems with vector order parameters: Three-loop renormalization-group analysis.

The critical behavior of the model with N–vector complex order parameter and three quartic coupling constants which describes phase transitions in unconventional superconductors, helical magnets, stacked triangular antiferromagnets, superfluid helium–3 and zero–temperature transitions in fully frustrated Josephson–junction arrays is studied within the field–theoretical renormalization group (RG...

متن کامل

Renormalization Group Theory of Nematic Ordering in \(d\)-Wave Superconductors

We examine the quantum theory of the spontaneous breaking of lattice rotation symmetry in dwave superconductors on the square lattice. This is described by a field theory of an Ising nematic order parameter coupled to the gapless fermionic quasiparticles. We determine the structure of the renormalization group to all orders in a 1/Nf expansion, where Nf is the number of fermion spin components....

متن کامل

Asymptotic freedom in Hořava-Lifshitz gravity.

We use the Wetterich equation for foliated spacetimes to study the renormalization group flow of projectable Hořava-Lifshitz gravity coupled to n Lifshitz scalars. Using novel results for anisotropic heat kernels, the matter-induced beta functions for the gravitational couplings are computed explicitly. The renormalization group flow exhibits an UV attractive anisotropic Gaussian fixed point wh...

متن کامل

Renormalization-Group Study of Weakly First-Order Phase Transitions

We study the universal critical behavior near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields – the cubic anisotropy model. Renormalization-group techniques are employed within the formalism of the effective average action. We calculate the coarse-grained free energy and deduce the universal ratio of susceptibilities on either side of the phase tr...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1993