Questions tagged [lattice-gauge-theory]
The study of (particle physics) gauge theories on a spacetime that has been discretized into a lattice.
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How do I numerically compute the interquark potential from the correlation function of Polyakov Loops?
I know that the potential can be calculated in the following way:
$$
aV(r) =-\ln(<\sum_{\textbf{x}} (P(\textbf{x}+R)P^{\dagger}(\textbf{x}))>)/N_T.
$$
Now, suppone I have some procudure to ...
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How to couple the Higgs field with $SU(3)$ (and/or $SU(2)$) Yang-Mills theory in numerical simulations?
I'm trying to couple the Higgs field to numerical simulations of pure gauge theory with heatbath and overrelaxation update of link variables. I don't know how to insert the Higgs field into the ...
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Gauge degrees of freedom in Schwinger model
Schwinger model is the (1+1)-D QED. The number of gauge degrees of freedom (DOF) after the gauge fixing of the Schwinger model depends on the boundary condition of the model. For example, one can ...
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Can anyone suggest me some papers to understand the mathematics behind the form factor
I am trying to study semileptonic decays of $B$ mesons and different models are also there but I am not understanding how specific form factors are assigned to specific mesons. For example, right now ...
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Status of Approach of constructing Hamiltonians from Transfer Matrix
I am studying this old paper from J.B.Kogut on lattice gauge theories and spin systems [Rev. Mod. Phys. 51, 659(1979)].
This paper discusses about the way of constructing a quantum Hamiltonian using ...
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Meaning of lattice gauge theories
I would like to ask about the physical interpretation of lattice gauge theories. Coming from a condensed matter background, I know only that lattice gauge theories are constructed by adding additional ...
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Understanding fermion doubling in lattice QFT
I'm studying Rothe's book on lattice gauge theory. For the case of a scalar field, we can use lattice discretization to find (using equations 3.18 and 3.19 on page 41)
$$\langle 0|T\phi(x)\phi(y)|0\...
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How well does Lattice QCD handle relativity?
In Lattice QCD space-time is approximated by a grid.
To me this doesn't seem to handle relativity well. Due to
(1) A Lorentz transformation of the grid will distort the hyper-cube volumes into ...
user84158
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Continuum Limit of Lattice QCD
I was trying to verify that the continuum limit of lattice QCD is indeed, regular old QCD, but I ran into an issue where when I tried to take the limit $a \rightarrow 0$ ($a$ is the lattice spacing), ...
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Gauss law with staggered fermions
I was wondering if someone could explain how to derive the discrete version of Gauss law in 1+1 QED using staggered Fermions.
The result I am trying to reproduce is found in multiple references [see ...
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Derivative of Function of Unitary matrices
I need some help in understanding derivative of function of matrices, Unitary matrices in my case.
I am studying lattice-qcd, there i need to take derivative of Wilson gauge action, $S[U]$ w.r.t link $...
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Transitions in Ising lattice gauge theories in 3+1 dimensions
What is known about the character of the transition (apart from the self-duality of the model and its self-dual point marking the transition point) in the Z2 lattice gauge theory in 3+1 dimensions?
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Why is the gauge group of pseudo-fermion mapping referred to as $\mathrm{SU}(2)$ and not $\mathrm U(2)$?
The representation of spin $\frac{1}{2}$ operators $\hat{S}^{a}$ by pseudo-fermions (also called Abrikosov fermions) is defined by the mapping
$$
\hat{S}^{a} = \frac{1}{2} \text{Tr}\big[ \hat{\psi}^{\...
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Why is magnetic ’t Hooft loop operator independent of its path in$Z_2$ gauge theory?
One important concept for $Z_2$ gauge theory is magnetic ’t Hooft loop operator $\tilde{W}_{\tilde{\Gamma}}$ along a non-contractible loop $\tilde{\Gamma}$ on the dual lattice of the torus is:
$$\...
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Periodic boundary condition and hadronic correlator
Recently I have been learning about lattice QCD in a self-taught way. I have a question about the 18th page of the following link:
https://www.jlab.org/hugs/Slides/Sufian_HUGS2018.pdf
It seems to me ...
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