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Intrinsic Pathology of Self-Interacting Vector Fields.

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Self-interacting vector field theories can lead to unphysical results, posing risks for cosmology and high energy physics. New tools help identify and address issues where time evolution becomes mathematically ill-defined.

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Area of Science:

  • Theoretical Physics
  • Particle Physics
  • Cosmology

Background:

  • Self-interacting vector field theories are crucial in various physics domains.
  • Previous studies have not fully addressed the potential for unphysical behavior in these theories.

Purpose of the Study:

  • To demonstrate that self-interacting vector field theories exhibit unphysical behavior.
  • To develop a framework for identifying and investigating these issues.

Main Methods:

  • Analysis of vector field theories without external field couplings.
  • Identification of configurations leading to mathematically ill-defined time evolution.

Main Results:

  • Self-interacting vector field theories can exhibit unphysical behavior.
  • A unifying framework and tools are developed to detect these problems.

Conclusions:

  • The presence of self-interacting vectors can render theories unphysical.
  • The developed framework offers a method to analyze and mitigate these issues in physics proposals.