O ct 1 99 4 Diff invariant Poincare transformations as deformation of Poincare algebra

نویسنده

  • Matti Pitkänen
چکیده

The concept of Diff 4 invariant Poincare transformations is a cornerstone of T(opological) G(eometro)D(ynamics). This concept makes it possible to understand the concept of subjective time and irreversibelity as well as nontriviality of S-matrix at quantum level. In this paper the possibility of identifying Diff 4 invariant Poincare transformations as the recently discovered Lorentz invariant deformation of Poincare algebra with the basic property that ’new’ energy is some function of ’old’ energy, is considered.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : h ep - t h / 93 10 11 7 v 1 1 9 O ct 1 99 3 QUANTUM κ - POINCARE IN ANY DIMENSION

The κ-deformation of the D-dimensional Poincaré algebra (D ≥ 2) with any signature is given. Further the quadratic Poisson brackets, determined by the classical r-matrix are calculated, and the quantum Poincaré group " with noncommuting parameters " is obtained.

متن کامل

Mass Deformation of Super Yang-Mills in D=2+1

A mass-deformation of three euclidean dimensional N = 1 SYM theory is carried out. The gluons of the theory are made massive using a nonlocal gauge and Poincare invariant mass term due to Nair, while fermion masses are introduced using standard gaussian terms. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare algebra by the spacetime rotation group so(3...

متن کامل

ar X iv : m at h - ph / 0 11 00 12 v 1 9 O ct 2 00 1 Functional Equations and Poincare Invariant Mechanical Systems

We study the following functional equation that has arisen in the context of mechanical systems invariant under the Poincaré algebra:

متن کامل

Poincare wave equations as Fourier transforms of Galilei wave equations

It is well known that the Galilei algebra is a sub algebra of Poincare algebra in one space dimension more. 1 This fact allows us to relate relativistic Poincare and Galilean theories. An interesting point is that Galilei transformations in two space dimensions are contained in the usual Poincare transformations? This enables us to present Poincare spin zero wavefunctions as Fourier transforms ...

متن کامل

Nonstandard Poincare and Heisenberg Algebras

New deformations of the Poincare group Fun(P (1 + 1)) and its dual enveloping algebra U(p(1 + 1)) are obtained as a contraction of the hdeformed (Jordanian) quantum group Fun(SLh(2)) and its dual. A nonstandard quantization of the Heisenberg algebra U(h(1)) is also investigated. Ref. SISSA: 85/96/FM Off late, considerable interest has been generated towards the nonstandard quantization of Lie g...

متن کامل

ذخیره 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 1994