Bose-Einstein Condensation of strongly interacting bosons: from liquid ${}^4$He to QCD monopoles

Abstract

Starting from classic work of Feynman on the $\lambda$-point of liquid Helium, we show that his idea of universal action per particle at the BEC transition point is much more robust that it was known before. Using a simple "moving string model" for supercurrent and calculating the action, both semiclassically and numerically, we show that the critical action is the same for noninteracting and strongly interacting systems such as liquid ${}^4$He. Inversely, one can obtain accurate dependence of critical temperature on density: one important consequence is that high density (solid) He cannot be a BEC state of He atoms, with upper density accurately matching the observations. We then use this model for the deconfinement phase transition of QCD-like gauge theories, treated as BEC of (color)magnetic monopoles. We start with Feynman-like approach without interaction, estimating the monopole mass at $T_c$. Then we include monopole's Coulomb repulsion, and formulate a relation between the mass, density and coupling which should be fulfilled at the deconfinement point. We end up proposing various ways to test on the lattice whether it is indeed the BEC point for monopoles.

References in corpus (12)

• Physics of Strongly coupled Quark-Gluon Plasma
• Strongly coupled plasma with electric and magnetic charges
• Magnetic Component of Quark-Gluon Plasma is also a Liquid!
• Magnetic component of Yang-Mills plasma
• Structure of Abrikosov Vortices in SU(2) Lattice Gauge Theory
• Probing the QCD Vacuum with Static Sources in Maximal Abelian Projection
• Magnetic monopoles in the high temperature phase of Yang-Mills theories
• Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length
• 't Hooft and Wilson loop ratios in the QCD plasma
• Charged Condensate and Helium Dwarf Stars
• Electric-magnetic asymmetry of the A^2 condensate and the phases of Yang-Mills theory
• Two-loop Correction to the Instanton Density for the Double Well Potential

Cited by in corpus (9)

• Charge-Dependent Correlations in Relativistic Heavy Ion Collisions and the Chiral Magnetic Effect
• On the Charge Separation Effect in Relativistic Heavy Ion Collisions
• Thermal Monopole Condensation and Confinement in finite temperature Yang-Mills Theories
• Effect of Light Fermions on the Confinement Transition in QCD-like Theories
• The Maximal Abelian Gauge in SU(N) Gauge Theories and Thermal Monopoles for N = 3
• Reconfinement, localization and thermal monopoles in $SU(3)$ trace-deformed Yang-Mills theory
• Effective Field Theory for Quantum Liquid in Dwarf Stars
• Effective Model of QCD Magnetic Monopoles From Numerical Study of One- and Two-Component Coulomb Quantum Bose Gases
• Deconfinement, Monopoles and New Phenomena in Heavy Ion Collisions