Special Issue "Symmetry, Extended Maxwell Equations and Non-local Wavefunctions"
Deadline for manuscript submissions: 31 October 2023 | Viewed by 52602
Interests: quantum and classical field theory; gravitation; complex systems in connection to social science and economics; mathematical methods
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Maxwell's equations are so successful and useful that examples of their elementary and advanced applications are on display everywhere in real life. Furthermore QED, the quantum field theory obtained from the quantization of the Maxwell Lagrangian is today our most precise physical theory. Yet there is still room for extensions of Maxwell's theory, and work by several authors in the last several years has led to progress in multiple directions. One possible extension relies on the introduction of additional degrees of freedom, like the field "dA" in the extended Lagrangian of Ohmura and Aharonov–Bohm, with ensuing reduction of the gauge symmetry. These extra degrees of freedom can have major consequences in curved space (with applications to cosmology). They can also be relevant in flat space, at least at the level of effective theories, if local conservation of charge is violated for some reason, for instance because (1) the effective quantum theory describing the field source obeys non-local wave equations, or (2) this effective theory has fractional dimension, or (3) renormalization leads to anomalies in the Ward identities. All these special circumstances are also, of course, of fundamental interest in their own right. Further of interest for this Special Issue are extended theories of the electromagnetic field in which the field equations themselves become non-local and acquire new properties due to the coupling with special systems in condensed matter, like systems with memory, superconductors, or superfluids with macroscopic coherence. Such equations require new solution methods and a careful analysis of their relativistic invariance, possibly disclosing violations of Lorentz symmetry compatible with observational constraints. Both original research articles and review articles are welcome for this Special Issue.
Dr. Giovanni Modanese
Manuscript Submission Information
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