Attachment 178 Details for Bug 1871 – 0001871-chaosrus11.patch

0001871-chaosrus11.patch

0001871-chaosrus11.patch (text/x-diff), 1.55 KB, created by drow on 2003-01-16 13:28:48 MSK

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Creator: drow

Created: 2003-01-16 13:28:48 MSK

Size: 1.55 KB

patch

obsolete

>--- outlook_message.tex	2003-01-16 13:20:06 +0300
>+++ chaosrus11.tex	2003-01-16 13:15:24 +0300
>@@ -1,6 +1,6 @@
> %        File: chaosrus.tex
>-%     Created: =C2=F2=F0 =C4=E5=EA 24 08:00  2002 M
>-% Last Change: =D7=F2=E2 =DF=ED=E2  9 20:31:12 MSK 2003
>+%     Created: Âòð Äåê 24 08:00  2002 M
>+% Last Change: ×òâ ßíâ  9 20:31:12 MSK 2003
> %
> \documentclass{jetpl}
> % \usepackage[cp1251]{inputenc}
>@@ -23,8 +23,7 @@
> 
> \lat
> 
>-\title{Stabilization of Yang-Mills  chaos in non-Abelian Born-Infeld =
>-theory
>+\title{Stabilization of Yang-Mills  chaos in non-Abelian Born-Infeld theory
> } \rtitle{Stabilization of Yang-Mills  chaos in non-Abelian
> Born-Infeld theory}
> 
>@@ -93,22 +92,22 @@
> adopt the latter one:
> \begin{equation}
>   \label{eq:trbi}
>-  S_{NBI}=3D\beta^2\int\,d^4 x\left(1-\sqrt{1+\frac 1{2\beta^2}
>+  S_{NBI}=\beta^2\int\,d^4 x\left(1-\sqrt{1+\frac 1{2\beta^2}
>   F^a_\mn F_a^\mn-\frac{1}{16\beta^4}(F^a_\mn
>   \duF_a^\mn)^2}\right),
> \end{equation}
>  with $\beta$ being the critical BI field, in string theory
>- $\beta=3D1/2\pi\alpha'$.
>+ $\beta=1/2\pi\alpha'$.
> 
> The simplest non-Abelian configuration for which the ordinary YM
> theory predicts chaotic behavior  \cite{MaSaTe81} is the following
> \begin{equation}
>-A=3Du\htt_1 dx + v \htt_2 dy, \label{savans}
>+A=u\htt_1 dx + v \htt_2 dy, \label{savans}
> \end{equation}
> where $u$ and $v$ are functions of time only, and
> $\htt_1$,$\htt_2$ are the gauge group generators. The
> corresponding field strength
>-\[ F=3D\dot{u} \htt_1
>+\[ F=\dot{u} \htt_1
> dt\wedge dx + \dot{v} \htt_2 dt \wedge dy + uv\htt_3 dx \wedge dy,
> \]
>

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