Effective Field Theory for the Crystalline Colour Superconductive Phase of QCD

Abstract

We present an effective field theory for high density, low temperature QCD in the crystalline colour superconductive phase (LOFF phase). This interesting phase of QCD is characterized by a gap parameter with a crystalline pattern, breaking traslational and rotational invariance, and could have astrophysical applications. In the effective theory the fermions have a Majorana mass, which, besides colour, breaks translation and rotation symmetries. Fermions couple to the three phonons arising from the breaking of rotation and translation invariance. Integrating out the fermions leads eventually to an effective lagrangian in terms of the phonon fields only, which satisfies an anisotropic dispersion relation.

Latex, 17 pages, Modifications in the effective goldstone boson description

Cited by in corpus (32)

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• Inhomogeneous Superconductivity in Condensed Matter and QCD
• The Crystallography of Color Superconductivity
• Interweaving Chiral Spirals
• The Crystallography of Three-Flavor Quark Matter
• The rigidity of crystalline color superconducting quark matter
• LOFF Pairing vs. Breached Pairing in Asymmetric Fermion Superfluids
• Effective Description of QCD at Very High Densities
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• Mass-Induced Crystalline Color Superconductivity
• Opening the Crystalline Color Superconductivity Window
• A reliable description of the radial oscillations of compact stars
• A low energy theory for superfluid and solid matter and its application to the neutron star crust
• Anisotropy Parameters for the Effective Description of Crystalline Color Superconductors
• Effective Gap Equation for the Inhomogeneous LOFF Superconductive Phase
• Transport theory for cold relativistic superfluids from an analogue model of gravity
• Phonons and gluons in the crystalline color superconducting phase of QCD
• Breaking rotational symmetry in two-flavor color superconductors
• Electromagnetic signals from bare strange stars
• Effective gluon interactions in the Colour Superconductive Phase of two flavor QCD
• The Crystallography of Strange Quark Matter
• Torsional oscillations of nonbare strange stars
• On the ground state of gapless two flavor color superconductors
• Quasi-particle Specific Heats for the Crystalline Color Superconducting Phase of QCD
• The shear viscosity of two-flavor crystalline color superconducting quark matter
• Crystalline Color Superconductivity: Effective Lagrangian and Phonon Dispersion Law
• LOFF and breached pairing with cold atoms
• Fractons in effective field theories for spontaneously broken translations
• Trapping Dirac fermions in tubes generated by two scalar fields
• Trapping of Spin-0 fields on tube-like topological defects
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• The improved Ginzburg-Landau technique