2013/04/30 by Keiichi Nagao, Holger Bech Nielsen, H. B. Nielsen · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Action theory (sociology) #Algebraic and Geometric Analysis #Computer science #Economics #Epistemology #Feynman diagram #Field theory (psychology) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Path integral formulation #Physics #Quantum Mechanics and Applications #Quantum mechanics #Relation (database) #Theoretical physics #hep-th #quant-ph
paper · pdf · doi:10.1093/ptep/ptt047
published in Progress of Theoretical and Experimental Physics 2013(7) (University of Oxford) · Latex 28 pages, 2 figures, typos corrected, the final version to appear in Prog.Theor.Exp.Phys. (v3) A missed $dt$-dependent normalization factor is properly considered in Section 3.1. The errors and typos mentioned in the erratum of PTEP are corrected. arXiv admin note: text overlap with arXiv:1205.3706
openalex publication_date 2013/07/01 · openalex created_date 2016/06/24 · arxiv created 2019/01/24 · arxiv updated 2019/01/28 · openalex updated_date 2026/08/05
Studying the time development of the expectation value in the future-not-included complex action theory, we point out that the momentum relation (the relation analogous to p=\frac∂ L∂ q), which was derived via the Feynman path integral and was shown to be correct in the future-included theory in our previous papers, is not valid in the future-not-included theory. We provide the correct momentum relation in the future-not-included theory, and argue that the future-not-included classical theory is described by a certain real action. In addition, we provide another way to understand the time development of the future-not-included theory by utilizing the future-included theory. Furthermore, properly applying the method used in our previous paper to the future-not-included theory by introducing a formal Lagrangian, we derive the correct momentum relation in the future-not-included theory.