2014/11/11 by Arthur Jaffe, Jaffe, Arthur
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Information and Cryptography #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1411.2964
openalex publication_date 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate stochastic quantization as a method to go from a classical PDE (with stochastic time λ) to a corresponding quantum theory in the limit λ→∞. We test the method for a linear PDE satisfied by the free scalar field. We begin by giving some background about the importance of establishing the property of \em reflection positivity for the limit λ→∞. We then prove that the measure determined through stochastic quantization of the free scalar field violates reflection positivity (with respect to reflection of the physical time) for every λ