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The Quantum Theory of Free Fields

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Abstract

Canonical quantization of the free real scalar field. Difficulties with the Schroedinger representation. Inequivalent representations of the canonical commutation relations. The Fock representation. Basic quantum observables: the total energy and momentum of the field. Description of quantum states in terms of particles. The field operator as a generalized function. The classical Dirac field as a system with constraints. The Faddeev-Jackiw method and quantization of the free Dirac field. The Dirac vacuum, the Fock representation and the appearance of a free, relativistic, spin 1/2 particle and its antiparticle. Extraction of the physical of degrees of freedom of the free electromagnetic field. The canonical quantization of the electromagnetic field, the Fock representation and the appearance of a free, massless particle (the photon).

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  1. Schweber, S.S.: An Introduction to Relativistic Quantum Field Theory. Row, Peterson and Co., Evanston, IL, Elmsford, NY (1961)

    Google Scholar 

  2. Henneaux, M., Teitelboim, C.: Quantization of Gauge Systems. Princeton University Press, Princeton, NJ (1992)

    MATH  Google Scholar 

  3. Faddeev, L.D., Jackiw, R.: Hamiltonian reduction of unconstrained and constrained systems. Phys. Rev. Lett. 60, 1692 (1988)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  4. Sakita, B.: Quantum Theory of Many-Variable Systems and Fields. World Scientific, Singapore (1985)

    MATH  Google Scholar 

  5. Sterman, G.: An Introduction to Quantum Field Theory. Cambridge University Press, Cambridge, New York, NY, Melbourne (1993)

    Google Scholar 

  6. Weinberg, S.: The Quantum Theory of Fields, vol. I. Cambridge University Press, Cambridge, New York, NY, Melbourne (1995)

    Google Scholar 

  7. Bogoljubov, N.N., Logunov, A.A., Oksak, A.I., Todorov, I.T. General Principles of Quantum Field Theory. Kluwer, Dordrecht (1990)

    Google Scholar 

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Authors and Affiliations

  1. Jagiellonian University, Inst. Physics, Reymonta Str. 4, 30-059, Krakow, Poland

    Prof. Henryk Arodź & Dr. Leszek Hadasz

Authors
  1. Prof. Henryk Arodź
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  2. Dr. Leszek Hadasz
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Correspondence to Henryk Arodź .

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Arodź, H., Hadasz, D.L. (2010). The Quantum Theory of Free Fields. In: Lectures on Classical and Quantum Theory of Fields. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15624-3_6

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  • DOI: https://doi.org/10.1007/978-3-642-15624-3_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15623-6

  • Online ISBN: 978-3-642-15624-3

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