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Gauge invariance through gauge fixing.

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This summary is machine-generated.

Descriptions using specific gauges in physics are often criticized as gauge-dependent. This study argues these descriptions are actually gauge-invariant but often non-local, with the unitary gauge being a key exception.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • Gauge Theory

Background:

  • Gauge theories are fundamental in describing physical phenomena, often employing specific gauge choices in literature.
  • Foundational discussions frequently criticize these choices as introducing gauge dependence, contrasting them with ideal gauge-invariant descriptions.

Purpose of the Study:

  • To challenge the notion that specific gauge choices inherently lead to gauge dependence.
  • To re-evaluate the criticism of gauge dependence in favor of identifying non-locality as the primary issue.
  • To analyze the unitary gauge as a potentially local and advantageous alternative within scalar electrodynamics and beyond.

Main Methods:

  • Analysis of phenomena within the framework of scalar electrodynamics.
  • Philosophical and foundational examination of gauge choices and gauge invariance.
  • Exploration of the properties and implications of the unitary gauge.

Main Results:

  • Descriptions within a specific gauge are argued to be inherently gauge-invariant.
  • The primary drawback of most gauge descriptions is identified as their non-local nature.
  • The unitary gauge is presented as an exception, offering a more local description with specific strengths and limitations.

Conclusions:

  • The criticism of gauge dependence in specific gauge descriptions is misguided.
  • Non-locality, not gauge dependence, should be the focus of objections to certain gauge descriptions.
  • The unitary gauge offers a valuable, more local perspective, with potential applications extending beyond scalar electrodynamics.