Three Levels of Phenomenology of Superfluid ³He

There are three levels of phenomenology of ³He-A: the Ginzburg–Landau level in the vicinity of transition temperature, the London level which studies statics and dynamics of the soft variables describing the ‘vacuum’ in the vicinity of a given vacuum manifold, and the analog of the relativistic quantum field theory that arises in ³He-A in the low temperature limit. This chapter examines these three levels in more detail and discusses different contributions to particle current including the fermionic charge, chemical potential for quasiparticles, Fermi surface emerging from the Fermi point,...

There are three levels of phenomenology of ³He-A: the Ginzburg–Landau level in the vicinity of transition temperature, the London level which studies statics and dynamics of the soft variables describing the ‘vacuum’ in the vicinity of a given vacuum manifold, and the analog of the relativistic quantum field theory that arises in ³He-A in the low temperature limit. This chapter examines these three levels in more detail and discusses different contributions to particle current including the fermionic charge, chemical potential for quasiparticles, Fermi surface emerging from the Fermi point, non-zero density of states in the presence of flow which leads to nonzero normal component at zero temperature, parameters of effective theory in London limit and fundamental constants, how to improve quantum liquid to make the closer connection to relativistic quantum fields, the universal temperature correction to Newton constant in general and in effective gravity emerging in ³He-A in particular, and the hierarchy of Planck scales as origin of precision of symmetries in effective theory.