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- W2010704571 abstract "In 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,{bf 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,{bf k}) now consists of two parts. The regular part, {bf k}^{reg}, is an analytic function of |{bf b}| across the quantum phase transition and may be nonzero due to explicit CPT violation at the fundamental level. The anomalous (nonanalytic) part, {bf 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." @default.
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- W2010704571 date "2005-05-20" @default.
- W2010704571 modified "2023-10-16" @default.
- W2010704571 title "EMERGENT CPT VIOLATION FROM THE SPLITTING OF FERMI POINTS" @default.
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- W2010704571 doi "https://doi.org/10.1142/s0217751x05020902" @default.
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