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DFR Perturbative Quantum Field Theory on Quantum Space Time, and Wick Reduction

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Book cover Rigorous Quantum Field Theory

Part of the book series: Progress in Mathematics ((PM,volume 251))

Summary

We discuss the perturbative approach à la Dyson to a quantum field theory with nonlocal self-interaction :φ⋆···⋆φ, according to Doplicher, Fredenhagen and Roberts (DFR). In particular, we show that the Wick reduction of nonlocally time-ordered products of Wick monomials can be performed as usual, and we discuss a very simple Dyson diagram.

Research partially supported by MIUR and GNAMPA-INdAM

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Author information

Authors and Affiliations

  1. I.P. “De Sandrinelli”, Via Paolo Veronese 3, 34131, Trieste, Italia

    Gherardo Piacitelli

Authors
  1. Gherardo Piacitelli
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Editor information

Editors and Affiliations

  1. Institut de Mathématiques de Jussieu, Université Paris 7, 175 rue du Chevaleret, 75013, Paris, France

    Anne Boutet de Monvel

  2. Institut für Theoretische Physik, Universität Göttingen, Friedrich-Hund-Platz 1, 37077, Göttingen, Germany

    Detlef Buchholz

  3. Service de Physique Théorique, CEA/Saclay, Orme des Merisiers, 91191, Gif-sur-Yvette cedex, France

    Daniel Iagolnitzer

  4. Dipartimento di Fisica e Matematica, Università dell’Insubria, Via Valleggio, 11, 22100, Como, Italy

    Ugo Moschella

Additional information

Dedicated to Jacques Bros on the occasion of his 70th birthday.

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© 2007 Birkhäuser Verlag

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Piacitelli, G. (2007). DFR Perturbative Quantum Field Theory on Quantum Space Time, and Wick Reduction. In: de Monvel, A.B., Buchholz, D., Iagolnitzer, D., Moschella, U. (eds) Rigorous Quantum Field Theory. Progress in Mathematics, vol 251. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-7434-1_16

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