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

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

Abstract 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-...

Full description

Bibliographic Details
Main Authors: Prabal Adhikari, Jens O. Andersen, Patrick Kneschke
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7381-4
id doaj-d96ab98555fa4dc490b32b309de3cf98
record_format Article
spelling doaj-d96ab98555fa4dc490b32b309de3cf982020-11-25T03:05:39ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-10-01791011310.1140/epjc/s10052-019-7381-4Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperaturePrabal Adhikari0Jens O. Andersen1Patrick Kneschke2Physics Department, St. Olaf CollegeDepartment of Physics, Norwegian University of Science and TechnologyFaculty of Science and Technology, University of StavangerAbstract 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 $$\chi $$ χ PT.http://link.springer.com/article/10.1140/epjc/s10052-019-7381-4
collection DOAJ
language English
format Article
sources DOAJ
author Prabal Adhikari
Jens O. Andersen
Patrick Kneschke
spellingShingle Prabal Adhikari
Jens O. Andersen
Patrick Kneschke
Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature
European Physical Journal C: Particles and Fields
author_facet Prabal Adhikari
Jens O. Andersen
Patrick Kneschke
author_sort Prabal Adhikari
title Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature
title_short Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature
title_full Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature
title_fullStr Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature
title_full_unstemmed Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature
title_sort two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2019-10-01
description Abstract 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 $$\chi $$ χ PT.
url http://link.springer.com/article/10.1140/epjc/s10052-019-7381-4
work_keys_str_mv AT prabaladhikari twoflavorchiralperturbationtheoryatnonzeroisospinpioncondensationatzerotemperature
AT jensoandersen twoflavorchiralperturbationtheoryatnonzeroisospinpioncondensationatzerotemperature
AT patrickkneschke twoflavorchiralperturbationtheoryatnonzeroisospinpioncondensationatzerotemperature
_version_ 1724677267713425408

Similar Items