RT Journal Article T1 Quantum dynamics of Lagrange multipliers A1 Álvarez, Enrique A1 Anero, Jesús A1 Pérez Martín, Carmelo A1 Velasco-Aja, Eduardo A2 American Physical Society, AB When implementing a nonlinear constraint in quantum field theory by means of a Lagrange multiplier, lambda(x), it is often the case that quantum dynamics induce quadratic and even higher-order terms in. lambda(x), which then does not enforce the constraint anymore. This is illustrated in the case of unimodular gravity, where the constraint is that the metric tensor has to be unimodular (g(x) = det g mu nu (x) = -1). PB American Physical Society SN 2470-0010 YR 2023 FD 2023-07-21 LK https://hdl.handle.net/20.500.14352/102653 UL https://hdl.handle.net/20.500.14352/102653 LA eng NO 2023 Descuento SCOAPOne of us (E. A.) acknowledges useful e-mail discussions with Luis Alvarez-Gaume and Gia Dvali. We acknowledge partial financial support by the Spanish MINECO through the Centro de excelencia Severo Ochoa Program under Grant No. CEX2020-001007-S funded by MCIN/AEI/10.13039/501100011033 All authors acknowledge the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 860881-HIDDeN and also by Grant No. PID2019-108892RB-I00 funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe". NO Ministerio de Economia y Competitividad (España) NO Ministerio de Ciencia e Innovación (MICINN) NO Agencia Estatal de Investigación (España) NO Unión Europea. H2020 DS Docta Complutense RD 6 abr 2025