Mollifying Quantum Field Theory or Lattice QFT in Minkowski Spacetime and Symmetry Breaking

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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23 pages, 35 figures; check http://chep.het.brown.edu/ for high resolution figures; referees suggestions and appendix added, r

Scientific paper

This work develops and applies the concept of mollification in order to smooth out highly oscillatory exponentials. This idea, known for quite a while in the mathematical community (mollifiers are a means to smooth distributions), is new to numerical Quantum Field Theory. It is potentially very useful for calculating phase transitions [highly oscillatory integrands in general], for computations with imaginary chemical potentials and Lattice QFT in Minkowski spacetime.

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