Tsallis' Quantum q-Fields

M. C. ROCCA; A. PLASTINO

CHINESE PHYSICS C

CHINESE PHYSICAL SOC

Año: 2018 vol. 42 p. 53102 - 53105

1674-1137

We generalize several well known quantum equations to a Tsallis´ q-scenario, and provide a quantum version of some classical fields associated to them in recent literature. We refer to the q-Schr"{o}dinger, q-Klein-Gordon, q-Dirac, and q-Proca equations advanced in, respectively,[Phys. Rev. Lett. {f 106}, 140601 (2011), EPL {f 118}, 61004 (2017) and references therein]. Also, we introduce here equations corresponding toq-Yang-Mills fields, both in the Abelian and not-Abelian instances.d We show how to define the q-Quantum Field Theories corresponding to the above equations, introduce the pertinent actions, and obtain motion equations via the minimum action principle.d These q-fields are meaningful at very high energies (TeVs) for$q=1.15$, high ones (GeVs) for $q=1.001$, and low energies(MeVs)for $q=1.000001$ [Nucl. Phys. A {f 955} (2016) 16 and references therein]. (See the Alice experiment of LHC).d Surprisingly enough, these q-fields are simultaneously q-exponential functions of the usual linear fields´ logarithms.