Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

I need hep-th/9312153

  1. Sep 8, 2009 #1
    but arxiv.org tell me that the pdf (or ps) is not available. the latex format don't work. someone can tell me where i can found it? thanx
  2. jcsd
  3. Sep 8, 2009 #2


    User Avatar
    Science Advisor
    Gold Member
    Dearly Missed

    I hope someone else can help. I would write email to one of the authors.
    This is what happened to me when I tried. I went to the abstract and clicked on PDF.
    I got an error message which said that they have the source but they cannot convert to PDF and it tells me to write email to the authors.

    But the word "source" is a link. So I click on that and I get what looks like a text file for the paper itself. I can read, or almost read, this text file. The abstract and the list of references to other papers come first. Then I scroll down and get to the main body of the paper, which looks like this (this is just a short sample):

    Recently, many proposals were presented showing how to apply the ideas of
    quantum deformations [\rone-\rthree] to the $D=4$ Poincar\'e algebra
    [\rfour-\rten] as well as
    the $D=4$ Poincar\'e group [\releven-\rsixteen].
    The $\kappa$-deformation of the $D=4$ Poincar\'e algebra, first proposed
    in [\rfour,\reight], leads to the modification of relativistic symmetries with
    three-dimensional $E(3)$ subalgebra unchanged. The deformation
    parameter $\kappa$ describes the fundamental mass in the theory
    and the limit $\kappa\rightarrow \infty$ corresponds to the undeformed case.

    As a consequence of the \k deformation the mass shell condition is changed as
    follows ( $\vec p\sp2\equiv p_1\sp2+p_2\sp2+p_3\sp2$) [\reight]:

    $$p_0\sp2- \vec p\sp2=m\sp2\quad\rightarrow\quad \bigl(2\kappa sinh{p_0\over
    2\kappa}\bigr)\sp2-\vec p\sp2=m\sp2.\eqn\eonethree$$
    The \k-deformed mass-shell condition leads to the following modification of
    the Hamiltonian of free
    \k-relativistic particles:
    $$H=P_0=\sqrt{\vec P\sp2+M\sp2}\;
    \rightarrow\;H_0\sp{\kappa}=P_0=2\kappa\,arcsinh{\sqrt{\vec P\sp2+M\sp2}\over

    In the \k-deformed Poincar\'e algebra, which we describe in section 2,
    the four-momenta commute and
    we can introduce the space-time
    dependence by
    the standard Fourier transforms of the four-momenta functions. In such a way we
    can choose
    the \k-relativistic classical mechanics
    to be formulated in terms of
    space coordinates satisfying standard relativistic Poisson brackets:
    $$\{x\sp{\mu},p\sp{\nu}\}=i\eta\sp{\mu\nu},\qquad \hbox{diag}\eta=(-1,1,1,1).
    The form of the Hamilton equations of motion remains also unchanged \ie\
    we have
    $$\dot x_i={\partial H\sp{\kappa}\over \partial p_i},\quad
    \dot p_i=-{\partial H\sp{\kappa}\over \partial x_i}.\eqn\eonefive$$
    In such an approach the only change due to the \k-deformation
    is the explicit form of the
    Hamiltonian (see \eonetwo\ for the free case).

    In section 3 we present the Hamiltonian and Lagrangian formalism
    for both the massive and massless
    free \k-relativistic particles described by the Hamiltonian
    As is known [\rseventeen,\reighteen,\rten], however, the velocity decreases
    with the increase
    of energy at large
    energies ($E\gg \kappa m$) in such a model.

    To eliminate the velocity decrease with the increase of energy
    we present in section 4 two
    possible remedies:
    \item{i)} The introduction of space coordinates with nonvanishing Poisson
    We consider massive spinless systems and we
    introduce the three space coordinates $x\sp{i}$ as the
    functions of the \k deformed Poincar\'e algebra generators.
    The standard choice, with space variables satisfying \eonefour\ (for
    $\mu,\nu=1,2,3$) was found by
    Bacry [\reighteen, \rten]. Recently Maggiore [\rnineteen]
    proposed other functions
    of the \k Poincar\'e generators
    which even for a spinless system describe space coordinates with
    nonvanishing Poisson brackets. It appears that such a proposal fits nicely
    into the schemes in which the symplectic tensor determining
    the Hamilton equations is not canonical.
  4. Sep 8, 2009 #3
    Last edited by a moderator: May 4, 2017
  5. Sep 8, 2009 #4
    Last edited by a moderator: May 4, 2017
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Similar Threads for need 9312153
B Why does "gravity" need to be unified?