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On peculiarities and pit falls in path integrals
Author(s) -
't Hooft Gerard
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200301775
Subject(s) - perspective (graphical) , limit (mathematics) , speculation , path (computing) , path dependent , calculus (dental) , path integral formulation , mathematics , epistemology , computer science , mathematical analysis , mathematical economics , physics , geometry , philosophy , economics , medicine , quantum mechanics , orthodontics , quantum , macroeconomics , programming language
Path integrals can be rigorously defined only in low dimensional systems where the small distance limit can be taken. Particularly non‐trivial models in more than four dimensions can only be handled with considerable amount of speculation. In this lecture we try to put these various aspects in perspective.