Length (Mass) Scales in Finite Temperature Dual QCD

Introduction The quantum chromodynamics (QCD) vacuum with condensed monopoles/dyons (i.e., a dual Ginzburg-Landau (DGL) type model of QCD or dual QCD) has been quite successful to describe the large-distance behavior of QCD vacuum [1–4]. Nair and Rosenzweig have shown the bag and string models of hadrons are analogous to the type I and type II superconductors respectively in the framework of DGL model of QCD [5]. The Ginzburg-Landau (GL) parameter κ is used to characterize the type I and the type II superconductors in such models. Our aim is to develop a model of dual QCD to see the changes in its various properties with the temperature especially in terms of its superconducting behavior. In this paper, we have considered the temperature dependent DGL parameter and analysed the type-I and type-II superconducting phases of dual QCD. For this purpose, we use the effective potential at finite temperature [6–8] to describe the thermal effects of the model by investigating the field masses (or length scales) at finite temperature.