| |
Record |
Links |
|
Author  |
Takahashi, K.; Motohashi, H.; Suyama, T.; Kobayashi, T. |
|
| |
Title |
General invertible transformation and physical degrees of freedom |
Type |
Journal Article |
| |
Year |
2017 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D |
|
| |
Volume |
95 |
Issue |
8 |
Pages |
084053 - 12pp |
|
| |
Keywords |
|
|
| |
Abstract |
An invertible field transformation is such that the old field variables correspond one-to-one to the new variables. As such, one may think that two systems that are related by an invertible transformation are physically equivalent. However, if the transformation depends on field derivatives, the equivalence between the two systems is nontrivial due to the appearance of higher derivative terms in the equations of motion. To address this problem, we prove the following theorem on the relation between an invertible transformation and Euler-Lagrange equations: If the field transformation is invertible, then any solution of the original set of Euler-Lagrange equations is mapped to a solution of the new set of Euler-Lagrange equations, and vice versa. We also present applications of the theorem to scalar-tensor theories. |
|
| |
Address |
[Takahashi, Kazufumi; Motohashi, Hayato; Suyama, Teruaki] Univ Tokyo, Grad Sch Sci, Res Ctr Early Universe RESCEU, Tokyo 1130033, Japan |
|
| |
Corporate Author |
|
Thesis |
|
|
| |
Publisher |
Amer Physical Soc |
Place of Publication |
|
Editor |
|
|
| |
Language |
English |
Summary Language |
|
Original Title |
|
|
| |
Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
|
| |
Series Volume |
|
Series Issue |
|
Edition |
|
|
| |
ISSN |
2470-0010 |
ISBN |
|
Medium |
|
|
| |
Area |
|
Expedition |
|
Conference |
|
|
| |
Notes |
WOS:000400142700009 |
Approved |
no |
|
| |
Is ISI |
yes |
International Collaboration |
yes |
|
| |
Call Number |
IFIC @ pastor @ |
Serial |
3093 |
|
| Permanent link to this record |
