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Questions tagged [yang-mills]

Yang–Mills theory is a QFT, a gauge theory normally symmetric under a compact non-Abelian Lie group relying on (originally massless) gauge vector fields. YM theories describe the strong and electroweak interactions of elementary particle physics, the Standard Model.

Yang–Mills theory is a QFT, a gauge theory normally symmetric under a compact non-Abelian Lie group relying on (originally massless) gauge vector fields. YM theories describe the strong and electroweak interactions of elementary particle physics, the Standard Model.

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Lattice Yang-Mills

I have often heard statements like, Continuum limit of Lattice Yang-Mills doesnot exist in dimensions higher then four. Is there a neat way to see this? or could some one point me to some relevant literature where this has been shown. thanks
stavrogin
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Question on field strength tensor in YM

just a quick question on $F_{\mu\nu}^a$. I'm correct to think $F_{\mu}^{\mu,a}$ vanishes, aren't I? (Just want to make sure...) My reasoning is as follows: The derivative terms cancel anyways - that's obvious - so the only "critical" term of…
A friendly helper
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Why Yang-Mills Potential Is A Linear Combination of Pauli Matrices?

What is meant in the following paragraph (this is Yang-Mills original 1954 paper "Conservation of Isotopic Spin and Isotopic Gauge Invariance") Where Equation (3) is the transformation of B field Why B field is assumed to contain a term that is a…
JON
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Gauge transformation of gauge fields in the adjoint representation

In some Yang-Mills theory with gauge group $G$, the gauge fields $A_{\mu}^{a}$ transform as $$A_{\mu}^{a} \to A_{\mu}^{a} \pm \partial_{\mu}\theta^{a} \pm f^{abc}A_{\mu}^{b}\theta^{c}$$ $$A_{\mu}^{a} \to A_{\mu}^{a} \pm…
nightmarish
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Yang-Mills theory in differential forms and in tensor notation

In the language of differential forms, the field strength $F$ for the Yang-Mills theory is given by $$F={\rm d}A+A\wedge A,$$ where $A$ is a matrix of one-forms. In the language of Ricci calculus, the the field strength $F_{\mu\nu}^{a}$ for the…
nightmarish
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About "linear" Yang-Mills theories

Is it sensible to say about "linear" YM theories with tiny YM fields, thus removing the nonlinear YM self-interaction terms from the Lagrangian which therefore only contains the linear YM field interaction with matter?
Ian Darius
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