2024/03/30 by T. Kikuchi, Kikuchi, Tatsuru
Physics and Astronomy · #03H10 #35Q91 #37N40 #46N10 #47N10 #58E17 #62A01 #91B02 #91B80 #Advanced Thermodynamics and Statistical Mechanics #Applications (stat.AP) #FOS: Computer and information sciences #FOS: Economics and business #FOS: Mathematics #FOS: Physical sciences #General Economics (econ.GN) #General Finance (q-fin.GN) #Physics and Society (physics.soc-ph) #Quantum Mechanics and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistics Theory (math.ST)
paper · pdf · doi:10.48550/arxiv.2404.01333
openalex publication_date 2024/03/30 · openalex created_date 2024/04/05 · openalex updated_date 2026/07/28
Recently, a couple of investigations related to symmetry breaking phenomena, 'spontaneous stochasticity' and 'ergodicity breaking' have led to significant impacts in a variety of fields related to the stochastic processes such as economics and finance. We investigate on the origins and effects of those original symmetries in the action from the mathematical and the effective field theory points of view. It is naturally expected that whenever the system respects any symmetry, it would be spontaneously broken once the system falls into a vacuum state which minimizes an effective action of the dynamical system.