Quantum Field Theory for Legspinners
The notion of a particle in quantum field theory is dependent on the observer. This fundamental ambiguity in the definition of what seems a basic “objectively” observable concept is unsettling. In this short note I will survey the basics of field quantization and then discuss the Unruh effect which illustrates this phenomenon. I will describe an abstract version of quantum field theory in which a single mathematical object, a complex structure, captures all the ambiguity in the definition of a particle. There is nothing original in this paper, however, this particular presentation is not easy to extract from the extant literature and seems not be be known as widely as it deservers.
Unable to display preview. Download preview PDF.
- 1.Woodhouse, N.M.J.: Introduction to analytical dynamics. Oxford University Press (1987)Google Scholar
- 2.Woodhouse, N.M.J.: Geometric Quantization, 2nd edn. Clarendon Press (1997)Google Scholar
- 3.Geroch, R.: Lectures on geometric quantum mechanics. Mimeographed notesGoogle Scholar
- 4.Marsden, J.E., Ratiu, T.: Introduction to Mechanics and Symmetry. Texts in Applied Mathematics, vol. 17. Springer (1994)Google Scholar
- 5.Geroch, R.: Mathematical Physics. Chicago Lectures in Physics. University of Chicago Press (1985)Google Scholar
- 6.Geroch, R.: Lectures on quantum field theory. Mimeographed notes (1971)Google Scholar
- 7.Baez, J., Segal, I.E., Zhou, Z.: Introduction to Algebraic and Constructive Quantum Field Theory. Princeton University Press (1992)Google Scholar
- 16.Baez, J.: Notes on geometric quantization. Available on Baez’ web siteGoogle Scholar