- #1
ProfDawgstein
- 80
- 1
Hey,
I am looking for a book / paper / pdf which covers things like
-maxwell EM field theory
-gravitational field theory
-variational calculus / principle of least action
-lagrangian mechanics
-basic scalar fields / wave equations
-field equations out of lagrangians
-maybe some basic quantum field theory
-Symmetries and Noethers Theorem
-Non-relativistic Lagrangian Fields
-Maxwell and GR lagrange (GR + EM field equations)
-string theory / m-theory (optional)
Background:
------------
-mechanics
-basic field theory (lecture videos)
-EM
-calculus of variations (but almost no experience)
-basic general relativity
Examples of things it should contain:
-----------------------------------
Gravity:
##\delta g_{ab}##
##\delta \Gamma^{a}_{bc}##
##\mathcal{L}_G = \sqrt{-g} R##
##S=\frac{1}{16\,\pi}\int \mathrm{d}^4x \sqrt{-g}\left(\phi\, R - \omega\,\phi^{-1}\partial_{\mu}\phi\,\partial^{\mu}\phi\right)+S_\mathrm{M}##
Maxwell EM:
##\delta F_{ab}##
##F_{ab} F^{ab}##
Other fields:
##\partial_\mu \phi \partial^\mu \phi##
##\mathcal{S} = \int \, \mathrm{d}^4 x \sum_{i=1}^n \left[ \frac{1}{2} \partial_\mu \varphi_i \partial^\mu \varphi_i - \frac{1}{2}m^2 \varphi_i^2 \right]##
Requirements:
-------------
-Solutions would be nice (or at least hints)
-quite detailed
-no graduate math textbooks please :)
-physics background
-rigorous
-some worked examples (!)
Thank you in advance.
I am looking for a book / paper / pdf which covers things like
-maxwell EM field theory
-gravitational field theory
-variational calculus / principle of least action
-lagrangian mechanics
-basic scalar fields / wave equations
-field equations out of lagrangians
-maybe some basic quantum field theory
-Symmetries and Noethers Theorem
-Non-relativistic Lagrangian Fields
-Maxwell and GR lagrange (GR + EM field equations)
-string theory / m-theory (optional)
Background:
------------
-mechanics
-basic field theory (lecture videos)
-EM
-calculus of variations (but almost no experience)
-basic general relativity
Examples of things it should contain:
-----------------------------------
Gravity:
##\delta g_{ab}##
##\delta \Gamma^{a}_{bc}##
##\mathcal{L}_G = \sqrt{-g} R##
##S=\frac{1}{16\,\pi}\int \mathrm{d}^4x \sqrt{-g}\left(\phi\, R - \omega\,\phi^{-1}\partial_{\mu}\phi\,\partial^{\mu}\phi\right)+S_\mathrm{M}##
Maxwell EM:
##\delta F_{ab}##
##F_{ab} F^{ab}##
Other fields:
##\partial_\mu \phi \partial^\mu \phi##
##\mathcal{S} = \int \, \mathrm{d}^4 x \sum_{i=1}^n \left[ \frac{1}{2} \partial_\mu \varphi_i \partial^\mu \varphi_i - \frac{1}{2}m^2 \varphi_i^2 \right]##
Requirements:
-------------
-Solutions would be nice (or at least hints)
-quite detailed
-no graduate math textbooks please :)
-physics background
-rigorous
-some worked examples (!)
Thank you in advance.
Last edited: