Journal
CHAOS SOLITONS & FRACTALS
Volume 42, Issue 4, Pages 2384-2398Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2009.03.115
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Multidimensional fractional actionlike variational problem with time-dependent dynamical fractional exponents is constructed. Fractional Euler-Lagrange equations are derived and discussed in some details. The results obtained are used to explore some novel aspects of fractional quantum field theory where many interesting consequences are revealed, in particular the complexification of quantum field theory, in particular Dirac operators and the novel notion of mass without mass. (c) 2009 Published by Elsevier Ltd.
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