51 Citations
Functional renormalization group of the nonlinear sigma model and theO(N)universality class
- Physics
- 2013
We study the renormalization group flow of the O(N) non-linear sigma model in arbitrary dimensions. The effective action of the model is truncated to fourth order in the derivative expansion and the…
One loop beta functions and fixed points in higher derivative sigma models
- Mathematics
- 2010
We calculate the one loop beta functions of nonlinear sigma models in four dimensions containing general two- and four-derivative terms. In the O(N) model there are four such terms and nontrivial…
Nonlinear sigma models on constant curvature target manifolds: A functional renormalization group approach
- MathematicsPhysical Review D
- 2021
We study non-linear sigma models on target manifolds with constant (positive or negative) curvature using the functional renormalization group and the background field method. We pay particular…
One-loop functional RG flow of scalar theory with electroweak symmetry
- Physics
- 2019
Using functional renormalization methods, we study the one-loop renormalization group evolution of theories with four scalars, at second order in the derivative expansion, in which electroweak…
The gluon condensate in an effective SU(2) Yang–Mills theory
- PhysicsInternational Journal of Modern Physics A
- 2019
We make progress towards a derivation of a low energy effective theory for SU(2) Yang–Mills theory. This low energy action is computed to 1-loop using the renormalization group technique, taking…
One-loop functional renormalization group flow of scalar theories with electroweak symmetry
- Physics
- 2014
Using functional renormalization methods, we study the one-loop renormalization group evolution of theories with four scalars, at second order in the derivative expansion, in which electroweak…
Renormalization group flow of Weyl invariant dilaton gravity
- Physics
- 2011
Any theory can be made Weyl invariant by introducing a dilaton. It is shown here how to construct renormalization group equations for gravity that maintain this property. Explicit calculations are…
Infrared fixed point in quantum Einstein gravity
- Physics
- 2012
A bstractWe performed the renormalization group analysis of the quantum Einstein gravity in the deep infrared regime for different types of extensions of the model. It is shown that an attractive…
References
SHOWING 1-10 OF 45 REFERENCES
Three Dimensional Nonlinear Sigma Models in the Wilsonian Renormalization Method
- Physics, Mathematics
- 2003
The three dimensional nonlinear sigma model is nonrenormalizable within the perturbative method. Using the β function in the nonperturbative Wilsonian renormalization group method. we argue that some…
Fixed points of higher-derivative gravity.
- Mathematics, PhysicsPhysical review letters
- 2006
The beta functions of higher-derivative gravity in four dimensions are recalculated using the one-loop approximation to an exact renormalization group equation and the theory appears to be asymptotically safe at a non-Gaussian fixed point rather than perturbatively renormalizable and asymPTotically free.
Microcanonical simulation of the four-dimensional SU(2) non-linear sigma model
- Mathematics, Physics
- 1992
Phase Transition in the Nonlinear Sigma Model in Two + Epsilon Dimensional Continuum
- Physics
- 1976
We study the phase transition in the nonlinear O(N) σ model in 2+e dimensions. Our analysis is of the continuum theory and does not rely upon the artifice of a lattice. This phase transition occurs…
ULTRAVIOLET PROPERTIES OF f(R)-GRAVITY
- Physics
- 2008
We discuss the existence and properties of a nontrivial fixed point in f(R)-gravity, where f is a polynomial of order up to six. Within this seven-parameter class of theories, the fixed point has…