scholarly journals Renormalization Group Flow¶of the Two-Dimensional Hierarchical Coulomb Gas

2001 ◽  
Vol 219 (3) ◽  
pp. 671-702 ◽  
Author(s):  
Leonardo F. Guidi ◽  
Domingos H. U. Marchetti
Keyword(s):  
Renormalization Group ◽  
Coulomb Gas ◽  
Two Dimensional ◽  
Renormalization Group Flow ◽  
Group Flow

GENERALIZED COULOMB GAS MODELS WITH EXPONENTIAL INTERACTIONS AND A SERIES OF CENTRAL CHARGES

1991 ◽  
Vol 06 (12) ◽  
pp. 2189-2211
Author(s):  
MYUNG-HOON CHUNG
Keyword(s):  
Renormalization Group ◽  
Vector Field ◽  
Fixed Points ◽  
Root Systems ◽  
Coulomb Gas ◽  
Renormalization Group Flow ◽  
Geometrical Figure ◽  
Fermionic Fields ◽  
Background Charge ◽  
Group Flow

The renormalization of the generalized Coulomb gas model with exponential interactions is studied. This model contains a bosonic vector field and several fermionic fields in the presence of a background charge vector. It is shown that the vectors associated with the exponential interactions should satisfy certain conditions for the action to be renormalizable. The conditions require the vectors to form a geometrical figure. In particular, models are considered where the vectors are root systems which form equilateral geometrical figures. Explicit β-functions are obtained for these models. They show several nontrivial fixed points at which the central charges of the system are evaluated. It is found that a renormalization group flow connects the extremal nontrivial fixed points. Some possible applications are indicated.

scholarly journals IRREVERSIBILITY OF THE RENORMALIZATION GROUP FLOW IN TWO-DIMENSIONAL QUANTUM GRAVITY

1992 ◽  
Vol 07 (31) ◽  
pp. 2943-2955 ◽  
Author(s):  
DAVID KUTASOV
Keyword(s):  
Renormalization Group ◽  
String Theory ◽  
Quantum Gravity ◽  
Degrees Of Freedom ◽  
Two Dimensional ◽  
Renormalization Group Flow ◽  
Group Flow

We argue that the torus partition sum in 2D (super) gravity, which counts physical states in the theory, is a decreasing function of the renormalization group scale. As an application we chart the space of [Formula: see text] models coupled to (super) gravity, confirming and extending ideas due to A. Zamolodchikov, and discuss briefly string theory, where our results imply that the number of degrees of freedom decreases with time.

scholarly journals Ruppeiner curvature along a renormalization group flow

2021 ◽  
pp. 136450
Author(s):  
Pavan Kumar Yerra ◽  
Chandrasekhar Bhamidipati
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Group Flow
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