Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Woodhouse, N.M.J.: Introduction to analytical dynamics. Oxford University Press (1987)
Woodhouse, N.M.J.: Geometric Quantization, 2nd edn. Clarendon Press (1997)
Geroch, R.: Lectures on geometric quantum mechanics. Mimeographed notes
Marsden, J.E., Ratiu, T.: Introduction to Mechanics and Symmetry. Texts in Applied Mathematics, vol. 17. Springer (1994)
Geroch, R.: Mathematical Physics. Chicago Lectures in Physics. University of Chicago Press (1985)
Geroch, R.: Lectures on quantum field theory. Mimeographed notes (1971)
Baez, J., Segal, I.E., Zhou, Z.: Introduction to Algebraic and Constructive Quantum Field Theory. Princeton University Press (1992)
Ashtekar, A., Magnon, A.: Quantum fields in curved space-times. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 346(1646), 375–394 (1975)
Panangaden, P.: Positive and negative frequency decompositions in curved spacetimes. J. Math. Phys. 20, 2506–2510 (1979)
Parker, L.: Particle creation in expanding universes. Phys. Rev. Lett. 21, 562–564 (1968)
Unruh, W.G.: Notes on black hole evaporation. Phys. Rev. D 14, 870–892 (1976)
Fulling, S.A.: Nonuniqueness of canonical field quantization in riemannian space-time. Phys. Rev. D 7(10), 2850–2862 (1973)
Davies, P.C.W.: Scalar particle production in schwarzschild and rindler metrics. J. Phys. A 8(4), 609–616 (1975)
Unruh, W.G., Wald, R.M.: What happens when an accelerating observer detects a rindler particle. Phys. Rev. D 29(6), 1047–1056 (1984)
Crispino, L., Higuchi, A., Matsas, G.: The unruh effect and its applications. Reviews of Modern Physics 80(3), 787 (2008)
Baez, J.: Notes on geometric quantization. Available on Baez’ web site
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Panangaden, P. (2013). Quantum Field Theory for Legspinners. In: Coecke, B., Ong, L., Panangaden, P. (eds) Computation, Logic, Games, and Quantum Foundations. The Many Facets of Samson Abramsky. Lecture Notes in Computer Science, vol 7860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38164-5_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-38164-5_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38163-8
Online ISBN: 978-3-642-38164-5
eBook Packages: Computer ScienceComputer Science (R0)