SFAD[{{q1 +..., p1 . q2 +...,} {m^2, s}, n}, ...]
denotes a Cartesian propagator given by \frac{1}{[(q_1+\ldots)^2 + p_1 \cdot q_2 ... + m^2 + s i \eta]^n}, where q_1^2 and p_1 \cdot q_2 are Cartesian scalar products in D-1 dimensions.
For brevity one can also use shorter forms such as SFAD[{q1+ ..., m^2}, ...]
, SFAD[{q1+ ..., m^2 , n}, ...]
, SFAD[{q1+ ..., {m^2, -1}}, ...]
, SFAD[q1,...]
etc.
If s
is not explicitly specified, its value is determined by the option EtaSign
, which has the default value +1
.
If n
is not explicitly specified, then the default value 1
is assumed. Translation into FeynCalcI internal form is performed by FeynCalcInternal
, where a SFAD
is encoded using the special head CartesianPropagatorDenominator
.
[{{p, 0}, m^2}] SFAD
\frac{1}{(p^2-m^2+i \eta )}
[{{p, 0}, {m^2, -1}}] SFAD
\frac{1}{(p^2-m^2-i \eta )}
[{{p, 0}, {-m^2, -1}}] SFAD
\frac{1}{(p^2+m^2-i \eta )}
[{{0, p . q}, m^2}] SFAD
\frac{1}{(p\cdot q-m^2+i \eta )}
[{{0, n . q}}] SFAD
\frac{1}{(n\cdot q+i \eta )}