On field theory quantization around instantons

TL;DR

This paper explores a novel quantization method around instantons, discussing its physical implications, and applies it to a topological Ginzburg-Landau model bridging type I and II superconductors.

Contribution

It introduces a new quantization procedure around non-discrete classical minima and applies it to a topological Ginzburg-Landau theory.

Findings

Topological embedding can be used for quantization around instantons.

The topological Ginzburg-Landau model is solved in an intermediate regime.

Implications for physical applications of topological field theories are discussed.

Abstract

With the perspective of looking for experimentally detectable physical applications of the so-called topological embedding, a procedure recently proposed by the author for quantizing a field theory around a non-discrete space of classical minima (instantons, for example), the physical implications are discussed in a ``theoretical'' framework, the ideas are collected in a simple logical scheme and the topological version of the Ginzburg-Landau theory of superconductivity is solved in the intermediate situation between type I and type II superconductors.