UV Completion on the Worldline
arXiv:1905.04258 · doi:10.1007/JHEP07(2019)090
Abstract
A framework for UV completing particle theories is proposed, based on the worldline formalism, which is equivalent to weighting all sums over histories with a proper-time dependent measure that has a smallest proper-time. We deduce a criterion to avoid ghosts, and find that the ghost-free theories have the (string-theory inspired) infinite-derivative model of Siegel as a special case, but represent a significant generalisation. Generically, the UV of such theories is dominated by a saddle-point in the proper-time, leading to simplification in the computation of amplitudes. We focus on a particularly attractive option which is to mimic the regulating properties of modular invariance with a worldline "inversion symmetry".
arXiv comment20 pages, uses tikzfeynman. Comment and references added
References in corpus (20)
- Closed String Field Theory: Quantum Action and the BV Master Equation
- Introduction to string field theory
- Towards singularity and ghost free theories of gravity
- Minimal Length Scale Scenarios for Quantum Gravity
- Perturbative Quantum Field Theory in the String-Inspired Formalism
- Bouncing Universes in String-inspired Gravity
- Field Theory Without Feynman Diagrams: One-Loop Effective Actions
- Universality of the Tachyon Potential
- Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
- On singularities of spherically symmetric backgrounds in string theory
- On the Calculation of Effective Actions by String Methods
- Duality and zero-point length of spacetime
- Localization of nonlocal theories
- Ghost-free infinite derivative quantum field theory
- Worldline Green Functions for Multiloop Diagrams
- Cutkosky Rules for Superstring Field Theory
- Generalized Causal Set d'Alembertians
- Nonlocal Scalar Quantum Field Theory from Causal Sets
- Canonical quantization of non-local field equations
- Higgsplosion: Solving the Hierarchy Problem via rapid decays of heavy states into multiple Higgs bosons
Cited by in corpus (16)
- Generalized ghost-free propagators in nonlocal field theories
- Spacetime foam: a review
- Impulsive waves in ghost free infinite derivative gravity in anti-de Sitter spacetime
- Nonlocal gravity with worldline inversion symmetry
- Baby Universes and Worldline Field Theories
- An anisotropic bouncing universe in non-local gravity
- Propagator from Nonperturbative Worldline Dynamics
- New non-singular cosmological solution of non-local gravity
- Worldline theories with towers of internal states
- Vacuum expectation values in non-trivial background space from three types of UV improved Green's functions
- Lectures in Quantum Gravity
- Junction conditions in infinite derivative gravity
- Discrete heat kernel, UV modified Green's function, and higher derivative theories
- Discrete time heat kernel and UV modified propagators with Dimensional Deconstruction
- Topological defects in nonlocal field theories
- Tree-level scattering amplitudes in nonlocal field theories