Lorentz-invariant CPT violation

Abstract

A Lorentz-invariant CPT violation, which may be termed as long-distance CPT violation in contrast to the familiar short-distance CPT violation, has been recently proposed. This scheme is based on a non-local interaction vertex and characterized by an infrared divergent form factor. We show that the Lorentz covariant T ⋆ -product is consistently defined and the energy-momentum conservation is preserved in perturbation theory if the path integral is suitably defined for this non-local theory, although unitarity is generally lost. It is illustrated that T violation is realized in the decay and formation processes. It is also argued that the equality of masses and decay widths of the particle and anti-particle is preserved if the non-local CPT violation is incorporated either directly or as perturbation by starting with the conventional CPT-even local Lagrangian. However, we also explicitly show that the present non-local scheme can induce the splitting of particle and anti-particle mass eigenvalues if one considers a more general class of Lagrangians.

Leptogenesis from heavy right-handed neutrinos in CPT violating backgrounds

“…Hence, from (35), (30), (31), (36) and (41), we observe that the Boltzmann equations for the heavy neutrino abundance and lepton/anti-lepton asymmetry L, averaged over helicities, in the high temperature regime, acquire the form (we reminder the reader that the leptons l ± are strictly massless, m l ± = 0, in the high temperature regime, above the electroweak phase transition):…”

“…[34] as a fundamental reason for inducing CPT violation (CPTV) and vice versa. (However, such claims have been disputed in [35,36], through counterexamples of Lorentz invariant systems, which violate CPT through relaxation, for example, of locality.) In our work we will consider Lorentz invariance violating (LV) backgrounds in the early universe as a form of spontaneous violation of Lorentz and CPT symmetry.…”

Constrains of Charge-to-Mass Ratios on Noncommutative Phase Space

“…On the other hand, noncommutative field theories can invalidate the CPT theorem [29][30][31][32], which is one of the most profound symmetry implied in any local and Lorentz invariant field theory [33]. Generally, the CPT invariance can be broken in extended field theories with either broken [34][35][36][37][38] or conserved Lorentz symmetry [29,30,39].…”

“…Generally, the CPT invariance can be broken in extended field theories with either broken [34][35][36][37][38] or conserved Lorentz symmetry [29,30,39]. The noncommutative extensions are of particular interesting 2 Advances in High Energy Physics since the CPT symmetry can be broken in both ways [29][30][31] and has been extensively studied [29][30][31][32].…”

No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences

“…The quantum electrodynamics (QED) [17][18][19][20] with violation of Lorentz and CPT [21][22][23] have been studied intensively. Among several issues, the possible generation of a ChernSimons-like term induced by radiative corrections arising from a CPT and Lorentz violating term in the fermionic sector has been a recurrent theme in the literature.…”