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Monte Carlo framework for noncontinuous interactions between particles and classical fields.

Christian Wesp1, Hendrik van Hees1, Alex Meistrenko1

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Summary
This summary is machine-generated.

This study introduces a novel method for simulating discrete particle-field interactions, enabling energy-momentum conservation in transport simulations. This approach models quantum exchanges, offering precise control over interaction dynamics.

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Area of Science:

  • Computational Physics
  • Quantum Field Theory
  • Nuclear Physics

Background:

  • Simulating particle-field interactions in transport calculations presents challenges due to differing discrete and continuous dynamics.
  • Existing workarounds, like effective theories, often violate fundamental conservation laws such as energy conservation.

Purpose of the Study:

  • To develop and present a novel method for modeling non-continuous interactions between particles and scalar fields.
  • To enable simulations of scattering-like interactions that conserve energy and momentum.

Main Methods:

  • The proposed method models discrete "quanta" exchange between particles and fields.
  • Applied to various model systems: harmonic oscillator, 1D field coupled to oscillator, and scalar field in (1+3) spacetime.
  • Incorporates particle production and annihilation processes for field-scalar field coupling.

Main Results:

  • Successfully simulated discrete energy and momentum exchange, conserving these quantities.
  • Demonstrated control over interaction strengths and timing.
  • Achieved thermal and chemical equilibrium in complex systems with dynamical field fluctuations.

Conclusions:

  • The developed method provides a robust framework for simulating particle-field interactions with conservation laws.
  • Applicable to diverse physical systems, from damped oscillators to relativistic fields.
  • Enables realistic modeling of systems reaching thermal and chemical equilibrium.