|
| | | | |
| | | |
| Stat |
Members: 3669
Articles: 2'599'751
Articles rated: 2609
18 March 2025 |
|
| | | | |
|
Article overview
| |
|
|
Speed limit in internal space of domain walls via all-order effective action of moduli motion | | Minoru Eto
; Koji Hashimoto
; | | Date: |
3 Aug 2015 | | Abstract: | We find that motion in internal moduli spaces of generic domain walls has an
upper bound for its velocity. Our finding is based on our generic formula for
all-order effective actions of internal moduli parameter of domain wall
solitons. It is known that the Nambu-Goldstone mode $Z$ associated with
spontaneous breaking of translation symmetry obeys a Nambu-Goto effective
Lagrangian $sqrt{1 - (partial_0 Z)^2}$ detecting the speed of light
($|partial_0 Z|=1$) in the target spacetime. Solitons can have internal moduli
parameters as well, associated with a breaking of internal symmetries such as a
phase rotation acting on a field. We obtain, for generic domain walls, an
effective Lagrangian of the internal moduli $epsilon$ to all order in
$(partial epsilon)$. The Lagrangian is given by a function of the Nambu-Goto
Lagrangian: $L = g(sqrt{1 + (partial_mu epsilon)^2})$. This shows
generically the existence of an upper bound on $partial_0 epsilon$, i.e. a
speed limit in the internal space. The speed limit exists even for solitons in
some non-relativistic field theories, where we find that $epsilon$ is a type I
Nambu-Goldstone mode which also obeys a nonlinear dispersion to reach the speed
limit. This offers a possibility of detecting the speed limit in condensed
matter experiments. | | Source: | arXiv, 1508.0433 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER