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Introduction and Motivation

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Tensorial Methods and Renormalization in Group Field Theories

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Abstract

A consistent quantum theory of gravity is mainly called for by a conceptual clash between the two major achievements of physicists of the twentieth century.

Nous sommes en 50 avant Jésus-Christ. Toute la Gaule est occupée par les Romains... Toute? Non! Un village peuplé d’irréductibles Gaulois résiste encore et toujours à l’envahisseur. Et la vie n’est pas facile pour les garnisons de légionnaires romains des camps retranchés de Babaorum, Aquarium, Laudanum et Petibonum...

René Goscinny and Albert Uderzo, Astérix le Gaulois

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Notes

  1. 1.

    We can for instance quote Straumann [72]: “This has been disturbing to many people, but one simply has to get used to this fact. There is no energy-momentum tensor for the gravitational field”.

  2. 2.

    Obviously, this ‘before’ does not refer to time, but rather to the abstract notion of scale which is assumed to take over when no space-time structure is available anymore.

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  1. Laboratoire de Physique Théorique d’Orsay, Université Paris-Sud, Orsay, France

    Sylvain Carrozza

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Carrozza, S. (2014). Introduction and Motivation. In: Tensorial Methods and Renormalization in Group Field Theories. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-05867-2_1

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