Post Gaussian effective potential in the Ginzburg Landau theory of superconductivity

Abstract

The post Gaussian effective potential in D=3 dimensions and the Gaussian effective potential in D=2+epsilon are evaluated for the Ginzburg-Landau theory of superconductivity. It is shown that, the next order correction to the Gaussian approximation of the Ginzburg-Landau parameter (kappa) is significant, whereas contribution from the two dimensionality is rather small. This strongly indicates that strong correlation plays a more dominant role than the two dimensionality does in high T_c superconductivity.

arXiv comment15 pages, RevTeX, 4 figures, minor changes has been made

References in corpus (9)

• Effective Field Theory Approach to High-Temperature Thermodynamics
• New results for the epsilon-expansion of certain one-, two- and three-loop Feynman diagrams
• Optimized Perturbation Theory at Finite Temperature
• Topological phase-fluctuations, amplitude fluctuations, and criticality in extreme type-II superconductors
• Extreme Type-II Superconductors in a Magnetic Field: A Theory of Critical Fluctuations
• Feynman Diagrams to Three Loops in Three Dimensional Field Theory
• Gaussian Effective Potential and superconductivity
• Perturbative Expansion around the Gaussian Effective Action: The Background Field Method
• Optimized post Gaussian approximation in the background field method

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• Variational Quantum Electrodynamics
• The Principle of Stationary Variance in Quantum Field Theory
• Ginzburg Landau theory of superconductivity at fractal dimensions