ghost of Landau’s past

[AntonioLao]

QED cannot be raid of inconsistencies unless the ghost of Landau’s past is caught and exorcised. On the other hand, QCD has its powerful magic weapon of asymptotic freedom. Fortunately both can only occur at extremely high energies and extremely small distances.

These conditions: high energies and short distances are the domain of gluons of color forces. These are the most powerful physical forces of the comprehensible universe. Their gauge symmetry is based on non-Abelian gauge group called SU(3). In contrast QED is based on Abelian gauge group called U(1). To slay Landau ghost is tantamount to forging a spear with 8-prong directional invariance symmetries. Once pierced the ghosts of zero charge, zero mass, and zero temperature are vanquished forever.

[mkirkpatrick]

QED cannot be raid of inconsistencies unless the ghost of Landau’s past is caught and exorcised. On the other hand, QCD has its powerful magic weapon of asymptotic freedom. Fortunately both can only occur at extremely high energies and extremely small distances.

These conditions: high energies and short distances are the domain of gluons of color forces. These are the most powerful physical forces of the comprehensible universe. Their gauge symmetry is based on non-Abelian gauge group called SU(3). In contrast QED is based on Abelian gauge group called U(1). To slay Landau ghost is tantamount to forging a spear with 8-prong directional invariance symmetries. Once pierced the ghosts of zero charge, zero mass, and zero temperature are vanquished forever.

A tridental spear is easy enough to assemble,however an 8 pronged spear would present
some minor difficulties!


regards michael.

[AntonioLao]

an 8 pronged spear would present some minor difficulties

This spear lives in at least 8 dimensional space-time. So, it would be very difficult for us 4D beings to forge it. But there are ways using Hadamard matrices.

[mkirkpatrick]

This spear lives in at least 8 dimensional space-time. So, it would be very difficult for us 4D beings to forge it. But there are ways using Hadamard matrices.

A sixth sense informed me that there just had to be a "old faithfull" Hadamard matrice
lurking in the background to bail us out?Phew! That was a close call.



regards michael.

[AntonioLao]

A sixth sense informed me that there just had to be a "old faithfull" Hadamard matrice

I can't be too hopeful about Hadamard matrices. They are more complicated than what I originally thought.

[mkirkpatrick]

I can't be too hopeful about Hadamard matrices. They are more complicated than what I originally thought.

If they are a "true" representation of reality (Hadamard matrices) then there surely
will be a way to express this,in a less complex way!




regards michael.

[AntonioLao]

then there surely will be a way to express this,in a less complex way

See upcoming thread on vacuum isomers about simpler descriptions using group numbers.

[mkirkpatrick]

See upcoming thread on vacuum isomers about simpler descriptions using group numbers.

That sounds like the road is opening up enough to slip by quickly,before we are noticed.




regards michael.