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

Abstract

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.

arXiv comment23 pages, 35 figures; check http://chep.het.brown.edu/ for high resolution figures; referees suggestions and appendix added, references streamlined

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• Differential Geometry on the Space of Connections via Graphs and Projective Limits
• Theta Vacua and Boundary Conditions of the Schwinger Dyson Equations
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Cited by in corpus (5)

• Complex Langevin Equations and Schwinger-Dyson Equations
• Graphene, Lattice QFT and Symmetries
• Complex Path Integrals and the Space of Theories
• Phase Transitions and Moduli Space Topology
• Symmetry Breaking: A New Paradigm for Non-Perturbative QFT and Topological Transitions