freddieknets
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 Nov 10 awarded Necromancer Jul 14 awarded Nice Question May 28 awarded Critic Sep 24 awarded Autobiographer Sep 7 awarded Teacher Sep 6 accepted Lie algebra - basis for adjoint matrix products in SU(N)? Sep 6 comment Lie algebra - basis for adjoint matrix products in SU(N)? @ACuriousMind If you post it as an answer, I can accept it. Sep 6 comment Gauge covariant derivative in different books Why the downvote? Sep 5 revised Lie algebra - basis for adjoint matrix products in SU(N)? changed 'closed set' back to 'basis', as it was before. Sep 5 comment Lie algebra - basis for adjoint matrix products in SU(N)? Thanks a lot, this could help! Sep 5 revised Lie algebra - basis for adjoint matrix products in SU(N)? Rewrote some dubious wordings Sep 5 revised Lie algebra - basis for adjoint matrix products in SU(N)? added clarification Sep 5 asked Lie algebra - basis for adjoint matrix products in SU(N)? Aug 20 awarded Benefactor Aug 20 accepted Gauge Field Tensor from Wilson Loop Aug 18 comment Gauge Field Tensor from Wilson Loop @crackjack If you want, I could call it the natural emergence of 'a set of gauge-equivalent functions' instead :-). Aug 18 comment Gauge Field Tensor from Wilson Loop @crackjack Why do I imply it should be unique? Of course it is not, I can gauge it into another function. But this doesn't change anything to the natural emergence. All possible parallel transporters are related by a gauge transformation, so whatever function I have in there, from the moment it enters the Lagrangian it is equivalent, as the Lagrangian is gauge invariant. Aug 18 comment Gauge Field Tensor from Wilson Loop It's cool, I never realised lattice QCD could be relevant to me :-). Is the paper yours? Aug 18 comment Gauge Field Tensor from Wilson Loop Ok, thank you, your edit clarifies it for me. To get the field tensor to emerge naturally, one first has to discretise spacetime on a grid with spacing $\epsilon$. We consider a loop around an elementary 4Dcube, leading to something of the form $1+\epsilon^4 F_{\mu\nu}$. Taking the continuum limit, we divide by the volume and have the expression $\lim_{A\rightarrow\infty} A + F_{\mu\nu}$ (we don't care about the infinite term as we put it in the normalisation of the path integral and gets divided out). Is that it? Aug 17 comment Gauge Field Tensor from Wilson Loop It's not about the term being allowed or not - I know how to gauge a QFT - but about the natural emergence of the correct kinetic terms based on geometric arguments. See the edit. This is not the 'standard' way to construct a Lagrangian.