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Updated: Sep 5, 2025

Setting Limits on Supersymmetry Using Simplified Models
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Higgs effect without lunch.

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Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 5, 2022
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Summary
This summary is machine-generated.

Dimensional reduction in field theories can lead to covert gauge symmetry breaking. A five-dimensional scalar electrodynamics model reveals a

Keywords:
dimensional reductioneffective field theorygauge symmetry breaking

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • Mathematical Cosmology

Background:

  • Dimensional reduction is a common technique in field theory.
  • Standard methods often rely on technically consistent truncations.
  • Less common reductions can lead to novel phenomena.

Purpose of the Study:

  • Investigate gauge symmetry breaking in more general dimensional reductions.
  • Explore scenarios with non-trivial transverse coordinate dependence.
  • Illustrate these effects using a specific five-dimensional model.

Main Methods:

  • Studied a five-dimensional model of scalar electrodynamics.
  • Applied Dirichlet/Robin boundary conditions to one spatial dimension.
  • Analyzed the behavior of gauge modes and Stueckelberg modes.

Main Results:

  • Observed unusual gauge symmetry breaking patterns.
  • Leading-order gauge modes remained massless.
  • Stueckelberg modes coupled at higher orders, causing 'covert' breaking.
  • Identified a propagating scalar degree of freedom as a 'phantom' mode.

Conclusions:

  • General dimensional reductions offer alternative mechanisms for gauge symmetry breaking.
  • The 'phantom' mode is a consequence of specific boundary conditions and couplings.
  • This mechanism is relevant to gravitational braneworld scenarios.