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I ain't afraid of no ghost.
1Munich Center for Mathematical Philosophy, Ludwig-Maximilians-Universität München, Germany.
Studies in History and Philosophy of Science
|June 1, 2021
Summary
This study challenges traditional gauge theory quantization, arguing ghosts are physical coordinates, not mere notation. This reinterpretation offers a more robust understanding of gauge theories and their quantization process.
Area of Science:
- Theoretical Physics
- Mathematical Physics
Background:
- Traditional philosophical accounts of gauge theory quantization face challenges due to the presence of 'ghosts'.
- These ghosts are mathematical constructs with unphysical properties, often dismissed as notational conveniences.
Purpose of the Study:
- To criticize the received view on gauge theory quantization and its interpretation of ghosts.
- To propose an alternative method for quantizing gauge theories.
- To re-evaluate the physical significance of ghosts in quantum field theory.
Main Methods:
- Critique of existing philosophical accounts of gauge theory quantization.
- Development of an alternative quantization method applicable to all theories.
- Reinterpretation of ghosts as coordinates on the classical configuration space of gauge theories.
Main Results:
- The traditional sequence of ad hoc modifications for gauge theory quantization is deemed unjustified and inadequate.
- Ghosts are reinterpreted as physically significant coordinates on the gauge structure of the classical configuration space.
- Weingard's philosophical arguments are shown to support, rather than refute, the physical significance of ghosts.
Conclusions:
- Gauge theories can be quantized using the same methods as other theories.
- Ghosts possess genuine physical significance as coordinates within the gauge structure.
- This new interpretation resolves philosophical objections regarding the role and meaning of ghosts.
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