All Questions
Tagged with mathematical-physics field-theory
43
questions
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Effects of Localized Medium Changes on Field Propagation
I've studied various theories related to fields. These theories often include equations describing how the activity of a source is transmitted to other locations. The properties of the medium ...
- 695
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56
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Derivation of Hofman-Maldacena Bounds
I am trying to study the section where the author of the article - https://gitlab.com/davidsd/lorentzian-cft-notes tries to outline the derivation of the Hofman-Maldacena bounds in Section 6.2. I have ...
- 41
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Free electromagnetic field BV action
I am trying to write down the extended BV-action of the free electromagnetic field in a physicist notation, but I don't find it anywhere. I found the following formula in example 3.1. of the paper ...
- 689
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Mathematically Rigorous Introductory Resources for Condensed Matter Physics
I am looking for textbooks, lecture notes, lecture videos on rigorous introductions to condensed matter physics. I'd prefer to not be referred to monographs for an introduction as they tend to be ...
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Coefficient of effective chiral Lagrangian of $\pi\pi$ scattering
I have been suffering from the coefficient in the expansion of chiral lagrangian.
Consider $$L=\frac{F^{2}}{4} \rm{Tr}(\partial_{\mu}U^{\dagger}\partial^{\mu}U),$$
where $$U=\exp(i\frac{\phi}{F}).$$ ...
- 23
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How to relate mathematicaly rigorous spinor fields to the ones used in physics?
One way to rigorously define spinor fields on metric manifolds is through the language of associated bundles. Namely, we have a principal bundle $P \overset{\pi}{\longrightarrow} M$ over $\mathrm{Spin}...
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Fourier decomposition range in field quantization procedure
Consider the complex Klein-Gordon field (in finite volume $V$), which can be expanded in terms of plane waves as:
$$
\phi\left(\mathbf{x},t\right)=\frac{1}{\sqrt{V}}\sum_{\mathbf{k}}\left(A_{\mathbf{k}...
- 685
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Klein-Gordon equation on a compact, two dimensional domain
Consider the Klein-Gordon equation in two dimensions on any compact subset of $\mathbb{R}^2$ (that is, a Jordan domain). The equation is hyperbolic, and since the domain is compact it is not evident ...
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How do I find the kernel of the shift operator in the solution of 2D Ising model?
Okay, this is a second part of my previous question. Again, I'm following Itzykson's book. The fermionic solution for the 2D Ising model is described in terms of a matrix $T = \theta \tilde{\theta}$, ...
- 585
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When to use (and when not to use) electromagnetic field conjugates in variational formulations
I found something a little bit confusing about writing variational formulas or Lagrangians for electromagnetic fields. I was looking at the book by Schwinger and Milton (chapter 4), and saw that ...
- 632
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551
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Understanding Hamilton's equations in classical field theory in a rigorous way
So, I'm in a quest of understanding classical field theory on my own, and I'm interested in its rigorous construction. Here's the link for a previous post of mine on mathoverflow. The interesting ...
- 1,131
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How these two approaches to spinors in curved spacetimes relate?
Regarding spinors in curved spacetimes I have seem basically two approaches. In a set of lecture notes by a Physicist at my department he works with spinors in a curved spacetime $(M,g)$ by picking a ...
- 36.4k
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Is there a systematic way to construct a SUSY theory?
For the sake of simplicity, I am considering a 0+0d scalar field theory with multiple bosonic and fermionic fields/variables. The fields are coupled together up to a certain order (say 4) with ...
- 713
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Must a field approach one of its vacua to have finite energy?
I'm reading these Cornell lectures on solitons (link doesn't work right now, but it just worked yesterday), and I can't seem to prove what I thought would be a simple analysis exercise.
Namely, ...
- 4,780
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What are some good references for field theory via functional analysis?
Many of the aspects of QFT are traditionally done in ways incompatible with a rigorous mathematical treatment, calling for a variety of tricks to fix essentially what was caused by unjustified ...