Nonlocal scalar quantum field theory from causal sets

DOI10.1007/JHEP03(2015)036zbMath1388.81249arXiv1411.6513OpenAlexW3103832588WikidataQ62580506 ScholiaQ62580506MaRDI QIDQ1755000

Stefano Liberati, Dionigi M. T. Benincasa, Alessio Belenchia

Publication date: 31 May 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6513

zbMATH Keywords

models of quantum gravityspace-time symmetrieseffective field theories

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Constructive quantum field theory (81T08)

Related Items

Lorentz violation naturalness revisited, Quantum gravity and gravitational-wave astronomy, Dimensional reduction in causal set gravity, Continuum modes of nonlocal field theories, On the entanglement entropy of quantum fields in causal sets, Ultraviolet-complete quantum field theories with fractional operators, The continuum limit of a 4-dimensional causal set scalar d’Alembertian, Echoes of asymptotic silence in causal set quantum gravity, Tests of quantum gravity-induced non-locality: Hamiltonian formulation of a non-local harmonic oscillator, Quantum scalar field theories with fractional operators, Towards a geometrical interpretation of rainbow geometries, The causal set approach to quantum gravity, Ghost-free infinite derivative quantum field theory, Casimir effect for nonlocal field theories with continuum massive modes, UV completion on the worldline, The Ising model coupled to 2d orders

Uses Software

• DLMF

Cites Work

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• Generalized free fields and models of local field theory
• Modern tests of Lorentz invariance
• The asymptotic safety scenario in quantum gravity
• On the Laplace transforms of retarded, Lorentz-invariant functions
• A distinguished vacuum state for a quantum field in a curved spacetime: formalism, features, and cosmology
• Minimal length scale scenarios for quantum gravity
• Asymptotic States in Nonlocal Field Theories
• CANONICAL QUANTIZATION OF NONLOCAL FIELD EQUATIONS
• Tests of Lorentz invariance: a 2013 update
• Causal set d'Alembertians for various dimensions
• Evidence for the continuum in 2D causal set quantum gravity
• Loop quantum cosmology: a status report
• Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics
• Correction terms for propagators and d’Alembertians due to spacetime discreteness
• Canonical quantization of theories containing fractional powers of the d'Alembertian operator
• PROPAGATOR FOR COMPLEX-MASS FIELDS
• A closed form expression for the causal set d’Alembertian