Stochastic quantization on Lorentzian manifolds

DOI10.1007/JHEP05(2021)028zbMath1466.83035arXiv2101.12552OpenAlexW3158442861MaRDI QIDQ2047913

Folkert Kuipers

Publication date: 4 August 2021

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

Full work available at URL: https://arxiv.org/abs/2101.12552

zbMATH Keywords

stochastic processesmodels of quantum gravitydifferential and algebraic geometry

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Applications of differential geometry to physics (53Z05) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items

Analytic continuation of stochastic mechanics ⋮ Viscous control of minimum uncertainty state in hydrodynamics ⋮ Relativistic stochastic mechanics. I: Langevin equation from observer's perspective ⋮ Spacetime stochasticity and second order geometry ⋮ Determining all thermodynamic transport coefficients for an interacting large N quantum field theory ⋮ Variational principle for stochastic mechanics based on information measures ⋮ Stochastic quantization of relativistic theories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Foundations of quantum mechanics: The Langevin equations for QM
• Stochastic dynamics: A review of stochastic calculus of variations
• Stochastic mechanics of systems with zero potential
• Stochastic calculus in manifolds. With an appendix by P.A. Meyer
• A new formulation of stochastic mechanics
• Mathematical theory of Feynman path integrals. An introduction
• Mechanics on manifolds and the incorporation of spin into Nelson's stochastic mechanics
• Construction of quantum fields from Markoff fields
• On the stochastic mechanics of the free relativistic particle
• Stochastic variational method as quantization scheme: Field quantization of the complex Klein–Gordon equation
• Constrained variational calculus for higher order classical field theories
• Unambiguous formalism for higher order Lagrangian field theories
• A new look at the derivation of the Schrödinger equation from Newtonian mechanics
• Entangled states in stochastic mechanics
• Markov diffusions in comoving coordinates and stochastic quantization of the free relativistic spinless particle
• The Emerging Quantum
• Stochastic emergent quantum gravity
• Gravitational Collapse and Space-Time Singularities
• On Continued Gravitational Contraction
• On Distributions of Certain Wiener Functionals
• Properties of Bethe-Salpeter Wave Functions
• Stochastic calculus of variations