Finite density two color chiral perturbation theory revisited

We revisit two-color, two-flavor chiral perturbation theory at finite isospin and baryon density. We investigate the phase diagram obtained varying the isospin and the baryon chemical potentials, focusing on the phase transition occurring when the two chemical potentials are equal and exceed the pio...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2018-06, Vol.78 (6), p.1-9, Article 441
Main Authors: Adhikari, Prabal, Beleznay, Soma B., Mannarelli, Massimo
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Baryons
Chiral dynamics
Color
Elementary Particles
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Order parameters
Organic chemistry
Perturbation theory
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Variations
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Summary:We revisit two-color, two-flavor chiral perturbation theory at finite isospin and baryon density. We investigate the phase diagram obtained varying the isospin and the baryon chemical potentials, focusing on the phase transition occurring when the two chemical potentials are equal and exceed the pion mass (which is degenerate with the diquark mass). In this case, there is a change in the order parameter of the theory that does not lend itself to the standard picture of first order transitions. We explore this phase transition both within a Ginzburg-Landau framework valid in a limited parameter space and then by inspecting the full chiral Lagrangian in all the accessible parameter space. Across the phase transition between the two broken phases the order parameter becomes an SU (2) doublet, with the ground state fixing the expectation value of the sum of the magnitude squared of the pion and the diquark fields. Furthermore, we find that the Lagrangian at equal chemical potentials is invariant under global SU (2) transformations and construct the effective Lagrangian of the three Goldstone degrees of freedom by integrating out the radial fluctuations.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-018-5934-6