content_image/360187.jpg content_image/360196.jpg content_image/360195.jpg content_image/360194.jpg
<img src='content_image/360187.jpg'>

Then the lowest order term invariant under the P transformation is given by 

<img src='content_image/360196.jpg'>

where f$_{χ}$ is introduced to renormalize the quadratically divergent correction to this term [18]. 

In the present analysis, we introduced this parameter in such a way that the field ˆ χ does not get any renormalization effect. 

Finally, the HLS Lagrangian with leading order terms is given by 

<img src='content_image/360195.jpg'>

## 3. VACUUM STRUCTURE AND SPECTRUM OF “VECTOR” BOSONS AT NONZERO BARYON CHEMICAL POTENTIAL 

In this section, we study the vacuum structure and examine the effects of nonzero chemical potential for the baryon number charge on the spectrum of “vector” bosons in the case of N$_{f}$ = 2. In Table II, we show the fields included in the present model together with their quantum numbers for the SU (2) “isospin” I $^{#3}$, the baryon number charge B #4 and the spin-parity J $^{P}$. The effect of chemical potential for the baryon number charge is introduced as the vacuum expectation value (VEV) of the external chiral gauge boson as 

<img src='content_image/360194.jpg'>

