Questions tagged [duality]
The duality tag has no usage guidance.
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If magnetic monopoles existed, would the electric field also require a vector potential? [duplicate]
I'm studying magnetic duality and it seems that duality is nearly complete for the exception of the apparent non-existence of magnetic monopoles.
My issue here isn't this one. My issue is that, if ...
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Action in AdS/CFT correspondence
I am a beginner trying to study AdS/CFT correspondence.
Could someone please explain, can we connect action in the gravity side to the field theory side by this correspondence? Can we write the ...
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Particle-antiparticle duality and special relativity
I was reading through Zee's QFT in a Nutshell and I reached the end of the second chapter, where Zee discusses the similarities between Compton scattering and electron-positron annihilation. While I ...
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Some questions about the compact boson in David Tong's notes on Gauge Theory
The notes can be found at http://www.damtp.cam.ac.uk/user/tong/gaugetheory.html.
In Sec. 7.5.1, T-Duality, around Eq. 7.51, it says that the Bianchi identity $\partial_\mu(\epsilon^{\mu\nu}\partial_\...
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How do we perform a perturbative expansion for magnetic monopoles?
Magnetic monopoles in non-abelian (and even abelian) gauge theory essentially appear as a non-perturbative, composite phenomenon if we perform the standard perturbative expansion in terms of, say, ...
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The Heisenberg model using the duality analysis
I would like to express the Heisenberg model using the duality analysis. It is shown here how to express the Ising model using Pauli matrices but I cannot get the relation $ \sigma _{i}^{z}= \prod_{...
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Regarding a possible duality between (2+1)D gravity and Chern-Simons Theory
Is there a duality between (2+1)D gravity and Chern-Simons Theory? Or they merely have related features? If so, of which type and why?
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Dualities in Physics and Fourier Transforms
In many articles, authors compare physical dualities to Fourier transforms.
For example:
Joseph Polchinski, in his article "String Duality" (hep-th/9607050v2), writes: "Weak/strong ...
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At what coordinate is the D-brane located in the T dual world?
I have a simple question on the geometrical intuition of D branes. I am currently reading the TASI notes by Polchinski.
Say one has a bosonic open string with all Neumann boundary conditions and ...
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What is $\mu_5$ in string theory?
I have come across the quantity $\mu_5$ in string theory quite a lot but I have not found it explicitly defined anywhere.
The bosonic worldvolume action reads [1]
\begin{equation}
S = \frac{\mu_5}{g_s}...
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$T$-duality in effective gauge theories of a $D(p+1)$-brane
I am considering a $D(p+1)$-brane in a space $\mathbb R^{1,p}\times S_R^1$ where $S_R^1$ is the circle of radius $R$. I am assuming low energies $ER\ll1$, so that only the massless spectrum of the ...
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Transformation of the string coefficient under T-duality
I am trying to study an effective string theory valid in the low energy limit $ER<<1$. The effective action corresponds to a $D(p+1)$-brane in $R^{1,p}\times S^1$ and it is given by
$$S_{D(p+1)} ...
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How to calculate the "vortex" correlation function in 2D free system?
I want to calculate the following correlation function in 2D square lattice:
$$G(i, j, \tau) \equiv\left\langle e^{-\frac{i}{2}\left[\hat{\Phi}_{i}(\tau)-\hat{\Phi}_{j}(0)\right]}\right\rangle_{0}$$
$\...
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Can Montonen-Olive duality be used for studying $\mathcal{N}=4$ SYM at strong coupling? If not, why not?
It's all in the title. To be more complete, the following is stated in the preamble of the Wikipedia article about S-duality:
One of the earliest known examples of S-duality in quantum field
theory ...
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Explicitly determining the propagator for the dual field
So I have a question which has been on my mind for some time but I never got around to asking: how can I calculate the propagator for a dual field?
Let me go into some more detail. Starting off with ...
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