Dynamical Poincaré Symmetry Realized by Field-dependent Diffeomorphisms
نویسنده
چکیده
We present several Galileo invariant Lagrangians, which are invariant against Poincaré transformations defined in one higher (spatial) dimension. Thus these models, which arise in a variety of physical situations, provide a representation for a dynamical (hidden) Poincaré symmetry. The action of this symmetry transformation on the dynamical variables is nonlinear, and in one case involves a peculiar field-dependent diffeomorphism. Some of our models are completely integrable, and we exhibit explicit solutions.
منابع مشابه
Symmetric Attractors for Diffeomorphisms and Flows
Let F c O(/i) be a finite group acting on R. In this work we describe the possible symmetry groups that can occur for attractors of smooth (invertible) f-equivariant dynamical systems. In case U" contains no reflection planes and n ^ 3, our results imply that there are no restrictions on symmetry groups. In case n 3=4 (diffeomorphisms) and n 2=5 (flows), we show that we may construct attractors...
متن کاملQFT with Twisted Poincaré Invariance and the Moyal Product
We study the consequences of twisting the Poincaré invariance in a quantum field theory. First, we construct a Fock space compatible with the twisting and the corresponding creation and annihilation operators. Then, we show that a covariant field linear in creation and annihilation operators does not exist. Relaxing the linearity condition, a covariant field can be determined. We show that it i...
متن کاملUnitarity of The Realization of Conformal Symmetry in The Quantum Hall Effect
We study the realization of conformal symmetry in the QHE as part of the W∞ algebra. Conformal symmetry can be realized already at the classical level and implies the complexification of coordinate space. Its quantum version is not unitary. Nevertheless, it can be rendered unitary by a suitable modification of its definition which amounts to taking proper care of the quantum measure. The conseq...
متن کاملOn the Correspondence between Poincaré Symmetry of Commutative QFT and Twisted Poincaré Symmetry of Noncommutative QFT
The space-time symmetry of noncommutative quantum field theories with a deformed quantization is described by the twisted Poincaré algebra, while that of standard commutative quantum field theories is described by the Poincaré algebra. Based on the equivalence of the deformed theory with a commutative field theory, the correspondence between the twisted Poincaré symmetry of the deformed theory ...
متن کاملReal Polynomial Diffeomorphisms with Maximal Entropy: Tangencies
The problem of understanding the dynamical behavior of diffeomorphisms has played a central role in the field of dynamical systems. One way of approaching this question is to ask about generic behavior in the space of diffeomorphisms. Another way to approach it is to ask about behavior in some specific parametrized family. The family of diffeomorphisms of R introduced by Hénon has often played ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998