Speaker
Description
We analyse the use of wavelet transform in quantum field theory models written in light-cone coordinates. In a recent paper [W.N Polyzou, Phys. Rev. D 101(2020) 096004] the author used $x^+$ variable as 'time', and applied wavelet transform to the 'spatial' coordinates only. This makes the theory asymmetric with respect to space and time coordinates. In present contribution we generalize the concept of continuous causal path, which is the basis of path integration, to the sequences of causally ordered space-time regions, and present evaluation rules for Feynman path integrals over such sequences in terms of wavelet transform. Both the path integrals and the wavelet transform in our model are symmetric with respect to the light-cone variables ($x^+,x^-$). The definition of a space-time event in our generalization is very much like the definition of event in probability theory.
