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Related Experiment Video

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Human Fear Conditioning Conducted in Full Immersion 3-Dimensional Virtual Reality

Human Fear Conditioning Conducted in Full Immersion 3-Dimensional Virtual Reality

Published on: August 9, 2010

I ain't afraid of no ghost.

John Dougherty¹

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.

Keywords:

Gauge theories High energy physics Quantization Quantum field theory Standard model of particle physics Yang–Mills theory

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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.