Field Theoretical Approaches to the Superconducting Phase Transition

TL;DR

This paper reviews various field theoretical methods for understanding the superconducting phase transition, focusing on scaling, renormalization group techniques, and duality approaches to analyze strong-coupling regimes.

Contribution

It introduces and compares different field theoretical frameworks, including duality, for studying the superconducting phase transition beyond traditional Ginzburg-Landau theory.

Findings

Scaling and renormalization group methods elucidate critical behavior.

Duality approach accesses strong-coupling regimes.

Theoretical insights into phase transition mechanisms.

Abstract

Several field theoretical approaches to the superconducting phase transition are discussed. Emphasis is given to theories of scaling and renormalization group in the context of the Ginzburg-Landau theory and its variants. Also discussed is the duality approach, which allows to access the strong-coupling limit of the Ginzburg-Landau theory.