Symmetries and propagator in multifractional scalar field theory

Understand

The symmetries of a scalar field theory in multifractional spacetimes are analyzed.

• The free theory realizes the Poincar\'e algebra, and the associated symmetries are modifications of ordinary translations and Lorentz transformations.
• In the interacting case, the Poincar\'e algebra is broken by interaction terms.
• The Feynman propagator of the scalar field is computed and found to possess the usual mass poles.