#### Alladi Ramakrishnan Hall

#### Exact Renormalization Group and O(N) model

#### Semanti Dutta

##### IMSc

*The scheme of the Exact Renormalization Group (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 dimensions. 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 up to sub-leading order for the same model.*

Done