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We include external scalar and pseudoscalar source fields S and P , as well as scalar and pseudoscalar diquark source fields Q and R #6 as 

<img src='content_image/356343.jpg'>

The vector and axial-vector external gauge fields V µ and A µ as well as diquark external gauge fields carrying J P = 1 + and 1 − ( B µ and D $^{µ}$) are included as 

<img src='content_image/356344.jpg'>

These external fields satisfy the following conditions: 

<img src='content_image/356342.jpg'>

Now, the total Lagrangian is given by 

<img src='content_image/356341.jpg'>

It is convenient to introduce two-component spinors q$_{L}$ and q$_{R}$ in such a way that the four-component spinor ψ is expressed as ψ i =   q i L q i R   , where i denotes the flavor index. Then, the kinetic term of quarks is rewritten as 

<img src='content_image/356339.jpg'>

where we use the following form of the gamma matrices: 

<img src='content_image/356338.jpg'>

From the form given in Eq.(A.8) the existence of the SU (2 N$_{f}$ ) flavor symmetry is seen as follows: Since the fundamental representation of SU (2)$_{color}$ as well as that of SU (2)$_{spin}$ is the pseudreal representation, a combination of σ$_{2}$τ$_{2}$q ∗ R has the same transformation property 

