A synchronized path integral with calculable solution




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Published on Mar 26, 2017

A new path integral formalism is proposed based on a functional which preserves the field's natural anharmonic potentialities.

This path integral can be solved, directly resulting in a vacuum expectation value (VEV) plus a sinusoidal cycle, associated with a pion or Goldstone mode.

During the symmetry breaking, the ground state's geometrical makeup generates a resonant vacuum.

Each period of the synchronized ground state continuously manifests the field's 10 degrees of freedom in high and low energy physics.

The ground state fluctuations must not be sinusoidal but can have many shapes, eliciting a state in QFT that is not based on common oscillatory modes.

The synchronized ground state and especially the vacuum geometrization are described in greater detail in a paper which is currently being reviewed.


The concept of using the slit experiment to illustrate the path integral comes from "Quantum Theory in a Nutshell" by Anthony Zee.

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