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Commit 025a3cf3 authored by José Antonio López Rodríguez's avatar José Antonio López Rodríguez
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ajustes en clases

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\bibitem{mandl2010quantum}
Franz Mandl and Graham Shaw.
\newblock {\em Quantum field theory}.
\newblock John Wiley \& Sons, 2010.
\bibitem{peskin2018introduction}
Michael Peskin.
\newblock {\em An introduction to quantum field theory}.
\newblock CRC press, 2018.
\bibitem{asale_2021}
RAE ASALE.
\newblock jurungar | diccionario de la lengua española, 2021.
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\documentclass[12pt]{report}
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\usepackage{pgfplots}
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%Alinear texto y figuras en las tablas
\usepackage{adjustbox}
\title{Campo de Dirac}
\author{José Antonio López Rodríguez}
\makeindex
\input{qftdef.tex}
\begin{document}
\maketitle
\tableofcontents
\input{seccion_campo_dirac.tex}
\appendix
\chapter{Glosario}
\input{apendice_glosario.tex}
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\contentsline {section}{\numberline {1.1}Sobre la representaci\IeC {\'o}n de n\IeC {\'u}mero en fermiones}{3}
\contentsline {section}{\numberline {1.2}Sobre la representaci\IeC {\'o}n de n\IeC {\'u}mero para fermiones}{6}
\contentsline {section}{\numberline {1.3}El Campo de Dirac}{7}
\contentsline {chapter}{\numberline {A}Glosario}{8}
\begin{itemize}
\item Definimos la métrica de Minkowski usando la convención
\begin{equation}
\label{convencion.metrica}
\eta_{\mu\nu}=diag(+,-,-,-)
\end{equation}
\item Definimos los operadores de Laplace y de D'Alambert:
\begin{eqnarray}
\nabla^2 & \equiv & \sum_i\partial_i^2 \\
\square & \equiv & \partial_{0}^{2} - \nabla^2 = \partial_{\mu}\partial^{\mu}
\end{eqnarray}
\item Forma general de las corrientes de Noether para un sistema con campos $\phi_i$, lagrangiano $\mathcal{L}$ y grupo de simetría de la acción con parámetros $\epsilon^{I}$:
\begin{eqnarray}\label{J.noether.general}
{J^{\mu}}&=&\Pi^{i\mu}\delta\phi_i-{T^{\mu}}_{\nu}\delta x^{\nu}, \\
{J^{\mu}}_{I}&=&\Pi^{i\mu}\frac{\partial\phi_i}{\partial\epsilon^{I}}-{T^{\mu}}_{\nu}\frac{\partial x^{\nu}}{\partial\epsilon^{I}}.
\end{eqnarray}
Donde
\begin{eqnarray}
\delta x^{\nu} &=& \frac{\partial x^{\nu}}{\partial\epsilon^{I}}\delta\epsilon^{I}, \\
\delta\phi_i &=& \frac{\partial\phi_i}{\partial\epsilon^{I}}\delta\epsilon^{I}, \\
\Pi^{i\mu} &=& \frac{\partial\mathcal{L}}{\partial\partial_{\mu}\phi_{i}}, \label{momento.lagrangiano.general}\\
{T^{\mu}}_{\nu} &=& \Pi^{i\mu}\partial_{\nu}\phi_{i} - \delta^{\mu}_{\nu} \mathcal{L}.\label{t.mu.nu.general}
\end{eqnarray}
\end{itemize}
\ No newline at end of file
@book{mandl2010quantum,
title={Quantum field theory},
author={Mandl, Franz and Shaw, Graham},
year={2010},
publisher={John Wiley \& Sons}
}
@book{peskin2018introduction,
title={An introduction to quantum field theory},
author={Peskin, Michael},
year={2018},
publisher={CRC press}
}
@misc{asale_2021,
title={jurungar | Diccionario de la lengua española},
url={https://dle.rae.es/jurungar},
journal={«Diccionario de la lengua española» - Edición del Tricentenario},
author={ASALE, RAE},
year={2021}
}
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Franz Mandl and Graham Shaw.
\newblock {\em Quantum field theory}.
\newblock John Wiley \& Sons, 2010.
\bibitem{peskin2018introduction}
Michael Peskin.
\newblock {\em An introduction to quantum field theory}.
\newblock CRC press, 2018.
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