On factorizations in perturbative quantum gravity

Abstract

Some features of Einstein gravity are most easily understood from string theory but are not manifest at the level of the usual Lagrangian formulation. One example is the factorization of gravity amplitudes into gauge theory amplitudes. Based on the recently constructed `double field theory' and a geometrical frame-like formalism developed by Siegel, we provide a framework of perturbative Einstein gravity coupled to a 2-form and a dilaton in which, as a consequence of T-duality, the Feynman rules factorize to all orders in perturbation theory. We thereby establish the precise relation between the field variables in different formulations and discuss the Lagrangian that, when written in terms of these variables, makes a left-right factorization manifest.

18 pages, v2: reference added, to appear in JHEP

References in corpus (5)

• New Relations for Gauge-Theory Amplitudes
• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• The Higgs Phenomenon in Quantum Gravity
• Field Redefinitions, T-duality and Solutions in Closed String Field Theories

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