EPFL Lectures on General Relativity as a Quantum Field Theory

Abstract

These notes are an introduction to General Relativity as a Quantum Effective Field Theory, following the material given in a short course on the subject at EPFL. The intent is to develop General Relativity starting from a quantum field theoretic viewpoint, and to introduce some of the techniques needed to understand the subject.

70 pages

References in corpus (27)

• General relativity as an effective field theory: The leading quantum corrections
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Asymptotic Symmetries of Yang-Mills Theory
• Evidence for a New Soft Graviton Theorem
• Scalar one-loop 4-point integrals
• Perturbative Quantum Gravity and its Relation to Gauge Theory
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• On-shell Techniques and Universal Results in Quantum Gravity
• On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons
• Loop Corrections to Soft Theorems in Gauge Theories and Gravity
• Soft sub-leading divergences in Yang-Mills amplitudes
• Bending of Light in Quantum Gravity
• Gravitational corrections to Standard Model vacuum decay
• Classical Physics and Quantum Loops
• The one-loop effective action and trace anomaly in four dimensions
• Sub-subleading soft gravitons and large diffeomorphisms
• Quantum Corrections to the Reissner-Nordström and Kerr-Newman Metrics
• Non-local quantum effects in cosmology 1: Quantum memory, non-local FLRW equations and singularity avoidance
• Infinities within graviton scattering amplitudes
• Infrared behavior of graviton-graviton scattering
• Covariant Perturbation Theory (IV). Third Order in the Curvature
• Cosmological significance of one-loop effective gravity
• More on the Bending of Light in Quantum Gravity
• Secular effects on inflation from one-loop quantum gravity
• The Equivalence Principle in a Quantum World
• Double-Soft Limits of Gluons and Gravitons
• Dispersive derivation of the trace anomaly

Cited by in corpus (45)

• A Critique of the Asymptotic Safety Program
• Resolving Spacetime Singularities within Asymptotic Safety
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• Effective Field Theory of Gravity to All Orders
• A no-go theorem on the nature of the gravitational field beyond quantum theory
• Form factors and decoupling of matter fields in four-dimensional gravity
• Quantum corpuscular corrections to the Newtonian potential
• Towards the renormalization group flow of Horava gravity in $(3+1)$ dimensions
• More on the Bending of Light in Quantum Gravity
• Vacuum effective actions and mass-dependent renormalization in curved space
• Scalar model of effective field theory in curved space
• Vanishing of Quantum Gravitational Corrections to Vacuum Solutions of General Relativity at Second Order in Curvature
• Subleading soft dressings of asymptotic states in QED and perturbative quantum gravity
• Light-ray operators, detectors and gravitational event shapes
• Asymptotically safe gravity
• Form Factors in Quantum Gravity - contrasting non-local, ghost-free gravity and Asymptotic Safety
• Is the spin connection confined or condensed?
• Fifth forces and broken scale symmetries in the Jordan frame
• The Higgsploding Universe
• RG of GR from On-shell Amplitudes
• Causality and gravity
• Hidden Sector and Gravity
• Scalar resonance in graviton-graviton scattering at high-energies: the graviball
• A gravitationally induced decoherence model using Ashtekar variables
• Gravitational Contact Interactions and the Physical Equivalence of Weyl Transformations in Effective Field Theory
• Gravitational form factors and decoupling in 2D
• Visions in Quantum Gravity
• Gravitational corrections to two-loop beta function in quantum electrodynamics
• The complete experiment problem of pseudoscalar meson photoproduction in a truncated partial wave analysis
• Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation
• Quantum-gravitational trans-Planckian radiation by a rotating black hole
• XEFT, the challenging path up the hill: dim = 6 and dim = 8
• Clifford algebra Cl(0,6) approach to beyond the standard model and naturalness problems
• Use of Lagrange multiplier fields to eliminate multiloop corrections
• Graviballs and Dark Matter
• Vacuum energy in the effective field theory of general relativity
• Quantum gravitational corrections to the geometry of charged AdS black holes
• Lectures in Quantum Gravity
• Gravitons and Pions
• $S$-matrix approach to general gravity and beyond
• Simplifying Quantum Gravity Calculations
• Gravitational effective action at mesoscopic scales from the quantum microstructure of spacetime
• Quantum geodesics reflecting the internal structure of stars composed of shells
• Gravitational radiation from binary systems in Unimodular gravity
• Proton Decay and the Quantum Structure of Spacetime