Abstract
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 = δL /δ q̊ ), 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 anotherway 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-notincluded theory by introducing a formal Lagrangian, we derive the correct momentum relation in the future-not-included theory.
| Original language | English |
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| Article number | 073A03 |
| Journal | Progress of Theoretical and Experimental Physics |
| Volume | 2013 |
| Issue number | 7 |
| ISSN | 2050-3911 |
| DOIs | |
| Publication status | Published - 1 Jul 2013 |