(sec:readings)=
Resources, Readings, and References
===================================

## Textbooks

The textbooks for this course are:

* {cite:p}`Donoghue:2022`
* {cite:p}`Langacker:2017`
* {cite:p}`t-Hooft:2016`
* {cite:p}`Georgi:2019`

For details, please see the {ref}`sec:sylabus`.

## Conventions

Different texts use different conventions.  In these notes, we follow the conventions of

* {cite}`Donoghue:2022`: *(Eqs. (3.22), (4.35) and (4.44).)*
* {cite}`Zee:2010`: *(p. xxv and §I.3 Eq. (21).)*
* {cite}`Langacker:2017`:  *(Table 1.2 and Eq. (2.29).)*

  \begin{gather*}
    \mat{g} = \diag(1, -1, -1, -1),\\
    (\partial_\mu\partial^\mu + m^2)D_F(x) = -\delta^{(4)}(x),\\
    \tilde{D}_{F}(p^{\mu}) = \frac{1}{p^2 - m^2 + \I 0^+}.
  \end{gather*}

* {cite}`t-Hooft:2016`: *(C.f. Footnote 1 on Page 6, and Eqs. (2.6), (2.9), and (2.10).)*

  \begin{gather*}
    \mat{g} = \diag(-1, 1, 1, 1),\\
    (-\partial_\mu\partial^\mu + m^2)D_F(x) = \delta^{(4)}(x),\\
    \tilde{D}_{F}(p^{\mu}) = \frac{1}{\vect{p}^2 - (p^0)^2 + m^2 - \I 0^+}.
  \end{gather*}

* {cite}`Lancaster:2014`: *(§0.4 Eq. (13) and Eqs. (17.16) and (17.25))*
  \begin{gather*}
    \mat{g} = \diag(1, -1, -1, -1),\\
    (\partial_\mu\partial^\mu + m^2)D_F(x) = -\I\delta^{(4)}(x),\\
    \tilde{D}_{F}(p^{\mu}) = \frac{\I}{p^2 - m^2 + \I 0^+}.
  \end{gather*}

* {cite}`Srednicki:2007`

* {cite}`Maggiore:2005`: *(p. xii and Eqs. (5.82) and (5.83).)*
  \begin{gather*}
    \mat{g} = \diag(1, -1, -1, -1),\\
    (\partial_\mu\partial^\mu + m^2)D_F(x) = -\I\delta^{(4)}(x),\\
    \tilde{D}_{F}(p^{\mu}) = \frac{\I}{p^2 - m^2 + \I 0^+}.
  \end{gather*}




(sec:references)=
References
==========

```{bibliography}
```

(sec:linear_algebra_resources)=
## Linear Algebra

* [Essence of linear algebra][]: A great set of highly visual videos by [3Blue1Brown][]
  getting you up to abstract vector spaces.
* [MIT 18.06 Linear Algebra]: A set of [video
  lectures](https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/video_galleries/video-lectures/)
  and accompanying material for the MIT Linear Algebra course.
* [Qiskit Linear Algebra](https://qiskit.org/textbook/ch-appendix/linear_algebra.html):
  A short introduction that is part of the [Qiskit][] platform.
* Appendix A of {cite:p}`Mermin:2007` has a nice short review of Dirac notation.


[MIT 18.06 Linear Algebra]: <https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/>
[3Blue1Brown]: <https://www.youtube.com/c/3blue1brown>
[Essence of linear algebra]: <https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab>
[Qiskit]: https://qiskit.org