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Doing a PhD in Theoretical Particle Physics (QCD)


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.
Aug
16
comment Gauge covariant derivative in different books
If you want to know in which formulas this sign convention possibly makes a difference, just substitute $g\rightarrow -g$.
Aug
16
revised Gauge covariant derivative in different books
added 1312 characters in body
Aug
16
answered Gauge covariant derivative in different books