Aspects of ${}^3$He and the Standard Electroweak Model

Abstract

We describe certain aspects of ${}^{3}He$ and compare them to related aspects of the standard electroweak model of particle physics. We note various similarities in the order parameter structure, defect structure, interactions with fermions and anomalies in the two systems. Many issues in the condensed matter literature that are often confusing to the particle physics reader and vice versa are clarified.

60 pages + 15 figures; LaTeX

Cited by in corpus (35)

• Analogue Gravity
• Magnetic Fields in the Early Universe
• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• Big bang simulation in superfluid 3He-B -- Vortex nucleation in neutron-irradiated superflow
• Primordial magnetogenesis
• Superfluid analogies of cosmological phenomena
• Momentum creation by vortices in 3He experiments as a model of primordial baryogenesis
• Event horizons and ergoregions in 3He
• Cosmology, Particle Physics and Superfluid 3He
• Vortex vs spinning string: Iordanskii force and gravitational Aharonov-Bohm effect
• Initial Vortex Densities after a Temperature Quench
• Baryon Asymmetry of Universe: View from Superfluid 3He
• Effective Field Theory Approach to Ferromagnets and Antiferromagnets in Crystaline Solids
• Gravity of Monopole and String and Gravitational Constant in 3He-A
• The Nambu sum rule and the relation between the masses of composite Higgs bosons
• Field theory in superfluid 3He: What are the lessons for particle physics, gravity and high-temperature superconductivity?
• Macroscopic parity violating effects and 3He-A
• Vortex with Fractional Quantum Numbers in Chiral p-Wave Superconductor
• Vortex Formation and Dynamics in Superfluid 3He and Analogies in Quantum Field Theory
• Phase Equilibration and Magnetic Field Generation in U(1) Bubble Collisions
• Simulation of Quantum Field Theory and Gravity in Superfluid He-3
• Axial anomaly in 3He-A: Simulation of baryogenesis and generation of primordial magnetic field in Manchester and Helsinki
• Cosmic String Formation from Correlated Fields
• Nambu sum rule in the NJL models: from superfluidity to top quark condensation
• How to Count Kinks: From the Continuum to the Lattice and Back
• Magnetic Fields in the Aftermath of Phase Transitions
• Examples of Embedded Defects (in Particle Physics and Condensed Matter)
• Acoustic black holes
• Flow instability in 3He-A as analog of generation of hypermagnetic field in early Universe
• Resonant frequencies of a massless scalar field in the canonical acoustic black hole spacetime
• Quantum Potential induced UV-IR coupling in Analogue Hawking radiation: From Bose-Einstein Condensates to canonical acoustic black holes
• Closed timelike curves in superfluid ${}^3$He
• Higher Corrections to the Mass Current in the Weakly Inhomogeneous A-phase of Helium-3
• Fermi points and the Nambu sum rule in the polar phase of ${}^3$He
• The Continuum Limit and Integral Vacuum Charge