Quantum corrections to unimodular gravity

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The problem of the comological constant appears in a new light in Unimodular Gravity. In particular, the zero momentum piece of the potential (that is, the constant piece independent of the matter fields) does not automatically produce a cosmological constant proportional to it. The aim of this paper is to give some details on a calculation showing that quantum corrections do not renormalize the classical value of this observable.
© The Authors. © Springer Verlag. We are grateful for illuminating discussions with Andrei Barvinsky and Christian Steinwachs. This work has been partially supported by the European Union FP7 ITN INVISIBLES (Marie Curie Actions, PITN-GA-2011-289442) and (HPRN-CT-200-00148); COST action MP1405 (Quantum Structure of Spacetime), COST action MP1210 (The String Theory Universe) as well as by FPA2012-31880 (MICINN, Spain)), FPA2011-24568 (MICINN, Spain), and S2009ESP-1473 (CA Madrid). The authors acknowledge the support of the Spanish MINECO Centro de Excelencia Severo Ochoa Programme under grant SEV-2012-0249. The xAct package [28] has been extensively used in the computations of the present paper.
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