7,091 research outputs found
Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections
We study radiative corrections to massless quantum electrodynamics modified
by two dimension-five LV interactions and in
the framework of effective field theories. All divergent
one-particle-irreducible Feynman diagrams are calculated at one-loop order and
several related issues are discussed. It is found that massless quantum
electrodynamics modified by the interaction alone is one-loop renormalizable and the result can be
understood on the grounds of symmetry. In this context the one-loop
Lorentz-violating beta function is derived and the corresponding running
coefficients are obtained.Comment: 13 pages, 1 figure. Version to appear in EPJ
Monotonicity Results for Arithmetic Means of Concave and Convex Functions
By majorization approaches, some known results on monotonicity
of the arithmetic means of convex and concave functions are proved and
generalized once again
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