Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature

In this paper, we calculate the equation of state of two-flavor finite isospin chiral perturbation theory at next-to-leading order in the pion-condensed phase at zero temperature. We show that the transition from the vacuum phase to a Bose-condensed phase is of second order. While the tree-level res...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2019-10, Vol.79 (10), p.1-13, Article 874
Main Authors: Adhikari, Prabal, Andersen, Jens O., Kneschke, Patrick
Format: Article
Language:English
Subjects:
Analysis
Astronomy
Astrophysics and Cosmology
Chemical potential
Chiral dynamics
Computer simulation
Elementary Particles
Equations of state
Flavor (particle physics)
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Organic chemistry
Perturbation theory
Phase transitions
Physics
Physics and Astronomy
Pions
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quarks
Regular Article - Theoretical Physics
String Theory
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Summary:In this paper, we calculate the equation of state of two-flavor finite isospin chiral perturbation theory at next-to-leading order in the pion-condensed phase at zero temperature. We show that the transition from the vacuum phase to a Bose-condensed phase is of second order. While the tree-level result has been known for some time, surprisingly quantum effects have not yet been incorporated into the equation of state.  We find that the corrections to the quantities we compute, namely the isospin density, pressure, and equation of state, increase with increasing isospin chemical potential. We compare our results to recent lattice simulations of 2 + 1 flavor QCD with physical quark masses. The agreement with the lattice results is generally good and improves somewhat as we go from leading order to next-to-leading order in χ PT.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-7381-4