#### IMSc Webinar

#### Exact Renormalization Group and the O(N) Model

#### Semanti Dutta

##### IMSc

*The scheme of ERG provides a way to deal with a theory with finite UV cut-off. We will use ERG to study the Wilson-Fisher fixed point action in the O(N) model in 4-epsilon dim. First, we will construct the Wilson action upto the subleading order by solving ERG equation. Second, when we are near the fixed point two kinds of composite operators are object of interest, one which is confined to the critical surface, other which is out of the critical surface. We will construct one of each kind of operators upto subleading order for the same model.*

Done