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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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What's the relation between Euclidean and Minkowski entities in lattice field theory?

To my understanding, lattice QFT basically continues the time $t$ (and fields depend on it) in Minkowski space action to imaginary time $\tau\equiv it$. But normally when we do calculations in lattice ...
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How Is Are Parton Distribution Functions (PDFs) Determined In Practice And In Theory?

I have put my actual questions in bold normal font, and the rest of this question clarifies what I mean to be asking, especially in terms of the depth and kinds of information I am looking for. ...
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What is the physical significance of links between sub lattices in the staggered fermion formulation of lattice gauge theories?

I am currently learning about Lattice Gauge theories and have come across the Lattice formulation in terms of staggered fermions (see e.g. Susskind 1977, Kogut & Susskind 1975). As I understand ...
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How to find propagator for domain wall fermions

I am working on domain wall fermions right now and I am trying to understand how Luescher finds the propagator for the domain wall fermions in this review https://arxiv.org/abs/hep-th/0102028 on pages ...
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Lattice gauge theory under a Lorentz transformation

Taking a grid of 'evenly-spaced' space-time points. e.g. at integer values of (x,y,z,t). Now do a Lorentz boost on this grid. We end up with a grid of points which are much closer together. It is ...
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What goes wrong with GR as a lattice gauge theory?

If one tried to formulate General Realativity in a similar manner to say lattice QCD, what goes wrong that makes it not work? My first thoughts are that for any particular grid, we might have a ...
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How does Pauli exclusion principle work with lattice QCD?

Say your space-time lattice has 30 fermions on the vertices. (Would they have to form a path?) Swapping any two fermions (on the same row??) should make the amplitude of the lattice state negative. ...
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What's wrong with lattice quantum gravity?

Assume one can write the metric field on a lattice, so on each lattice point one has a value of $g^{\mu\nu}$. Similar to the way lattice QCD is formulated. Then later taking the distance between ...
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Are any quantum field theories mathematically convergent?

I know for example that theories like QED and QCD when expended perturbatively in terms of Feynman diagrams produce asymptotic series that don't converge after a large number of terms and in fact ...
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Why is lattice QCD called non-perturbative?

Like, if you are approximating a smooth structure with a discrete lattice, isn't this like a perturbation from smooth space-time? If Feynman diagrams are a perturbative method, why are Feynamn ...
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Why is Lattice QCD done in Euclidian 4-space?

This could be a really naive question (and honestly I just don't want to dig through ArXiV review papers on lattice QCD), but my question is simple: Why exactly is Lattice QCD done in $\mathbb{R}^4$ ...
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Temperature-dependence of quark potential in Abelian lattice gauge theory

I am working with Kapusta's "Finite-Temperature Field Theory" textbook, and am working through the first part of chapter 10. When building the correlator of the two quarks a distance $R$ apart in the ...