Continuous Wavelet Transform in Quantum Field Theory

Understand

We describe the application of the continuous wavelet transform to calculation of the Green functions in quantum field theory: scalar $\phi^4$ theory, quantum electrodynamics, quantum chromodynamics.

• The method of continuous wavelet transform in quantum field theory presented in M.Altaisky Phys.
• Rev.
• D81(2010)125003 for the scalar $\phi^4$ theory, consists in substitution of the local fields $\phi(x)$ by those dependent on both the position $x$ and the resolution $a$.