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28 March 2024
 
  » arxiv » hep-th/0403037

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Emergent CPT violation from the splitting of Fermi points
F.R. Klinkhamer ; G.E. Volovik ;
Date 2 Mar 2004
Journal Int.J.Mod.Phys. A20 (2005) 2795-2812
Subject High Energy Physics - Theory; Superconductivity | hep-th cond-mat.supr-con hep-ph
AbstractIn a fermionic quantum vacuum, the parameters k_mu of a CPT-violating Chern-Simons-like action term induced by CPT-violating parameters of the fermionic sector depend on the universality class of the system. As a concrete example, we consider the Dirac Hamiltonian of a massive fermionic quasiparticle and add a particular term with purely-spacelike CPT-violating parameters b_mu=(0,{f b}). A quantum phase transition separates two phases, one with a fully-gapped fermion spectrum and the other with topologically-protected Fermi points (gap nodes). The emergent Chern-Simons ``vector’’ k_mu=(0,{f k}) now consists of two parts. The regular part, {f k}^{reg}, is an analytic function of |{f b}| across the quantum phase transition and may be nonzero due to explicit CPT violation at the fundamental level. The anomalous (nonanalytic) part, {f k}^{anom}, comes solely from the Fermi points and is proportional to their splitting. In the context of condensed-matter physics, the quantum phase transition may occur in the region of the BEC-BCS crossover for Cooper pairing in the p-wave channel. For elementary particle physics, the splitting of Fermi points may lead to neutrino oscillations, even if the total electromagnetic Chern-Simons-like term cancels out.
Source arXiv, hep-th/0403037
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