atm I've changed just the source that enters in the bubbles for the disconnected diagrams, since they are the only one that keep a g5 explicitly
If we compute the contributions for the connected diagrams (2,3,4pts) in the continuum, at the end we will be left with just contractions of G, G^dag thanks to g5-hermiticity.
Then going to the staggered world. g5 ----> g5 x I,P,T,A,V and at priori all of the structure in taste are good, but:
1) if we want to preserve the contraction in the connected diagrams, as they are, then we shall use g5 x P = g5 x g5, which is indeed the one that implement the g5-hermiticity ,
2) if we want the 2pt conn function to reproduce C_iso we know again that the good GB is given by g5 x g5,
3) in the disc diagrams g5 is left explicit and we didn't exploit any g5-hermiticty for the contractions.
Since in the disc diagrams g5 x g5 didn't give any positive results, I would say to use g5 x id just here, as if we're exploring a different taste structure among all the others which are at priori all good...
makes sense?
atm I've changed just the source that enters in the bubbles for the disconnected diagrams, since they are the only one that keep a g5 explicitly
If we compute the contributions for the connected diagrams (2,3,4pts) in the continuum, at the end we will be left with just contractions of G, G^dag thanks to g5-hermiticity. Then going to the staggered world. g5 ----> g5 x I,P,T,A,V and at priori all of the structure in taste are good, but: 1) if we want to preserve the contraction in the connected diagrams, as they are, then we shall use g5 x P = g5 x g5, which is indeed the one that implement the g5-hermiticity , 2) if we want the 2pt conn function to reproduce C_iso we know again that the good GB is given by g5 x g5, 3) in the disc diagrams g5 is left explicit and we didn't exploit any g5-hermiticty for the contractions.
Since in the disc diagrams g5 x g5 didn't give any positive results, I would say to use g5 x id just here, as if we're exploring a different taste structure among all the others which are at priori all good... makes sense?