Positivity of High Density Effective Theory

Abstract

We show that the effective field theory of low energy modes in dense QCD has positive Euclidean path integral measure. The complexity of the measure of QCD at finite chemical potential can be ascribed to modes which are irrelevant to the dynamics at sufficiently high density. Rigorous inequalities follow at asymptotic density. Lattice simulation of dense QCD should be possible using the quark determinant calculated in the effective theory.

10 pages, Revised version, to appear in Rapid Communications of Physical Review D

References in corpus (4)

• Color superconducting quark matter
• The Condensed Matter Physics of QCD
• Lattice Matter
• Aspects of Color Superconductivity

Cited by in corpus (14)

• The Status of Lattice QCD at Finite Temperature
• Interweaving Chiral Spirals
• Hard Loops, Soft Loops, and High Density Effective Field Theory
• Positivity and Dense Matter
• On the sign problem in dense QCD
• Lattice QCD at Finite Temperature and Density
• A dimensionally reduced expression for the QCD fermion determinant at finite temperature and chemical potential
• Towards extremely dense matter on the lattice
• Anomaly Matching and Low Energy Theories at High Matter Density
• Aspects of the Quantum Chromo Dynamics Phase Diagram
• Mitigating the sign problem for non-relativistic fermions on the lattice
• High Density Effective Theory Confronts the Fermi Liquid
• High density effective theory on the lattice
• Positivity and Fermionic Dense Matter