Gauge invariance through gauge fixing
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Summary
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.
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.
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