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The goal of this paper is to arrive at a low energy effective theory of QCDwith two massless flavors of quarks at very high isospin density and zerobaryon density. In a seminal paper by Son and Stephanov in the year 2001, itwas conjectured that the low energy dynamics of QCD with two light flavors atasymptotically high isospin density was described by that of a pure Yang-Millseffective Lagrangian. Since the existence of a first order deconfinement phasetransition with increasing temperature is a feature of every pure SU(N)Yang-Mills theory with N greater than or equal to 3, the regime considered inthis paper is also expected to exhibit a first order deconfinement phasetransition with increasing temperature. However, the low energy constants(LEC)of this pure Yang-Mills theory have not been calculated till date. We calculatethe LEC s for this effective theory which in turn enables us to calculate thecritical temperature of the deconfinement transition as a function of theisospin chemical potential $\mu_I$.The scaling of the critical temperature as afunction of the isospin chemical potential that we find in this paper can becompared with future lattice calculations at finite isospin density.

Low Energy Effective Theory of QCD at High Isospin Chemical Potential