## 86 Citations

### Gradient-flow equations for general Quantum Field Theories

- Physics
- 2018

Given our understanding of renormalizable quantum field theories, in which coupling constants vary under Renormalization Group (RG) flow, it is natural to ask whether there exist any underlying…

### AdS/CFT and local renormalization group with gauge fields

- Physics
- 2015

We revisit a study of local renormalization group (RG) with background gauge fields incorporated using the AdS/CFT correspondence. Starting with a (d+ 1)-dimensional bulk gravity coupled to scalars…

### The a-function for gauge theories

- Physics
- 2014

A bstractThe a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the β-functions via a gradient…

### Constraints on 3- and 4-loop β-functions in a general four-dimensional Quantum Field Theory

- MathematicsJournal of High Energy Physics
- 2019

The β-functions of marginal couplings are known to be closely related to the A-function through Osborn’s equation, derived using the local renormalization group. It is possible to derive strong…

### Newton–Cartan Trace Anomalies and Renormalization Group Flows

- Physics
- 2017

I will discuss trace anomalies for non-relativistic Schrodinger theories in \(2+1\) dimensions coupled to a Newton–Cartan gravity background, which is used as a source of the energy-momentum tensor.…

### a-function in three dimensions: Beyond the leading order

- Physics
- 2017

Recently, evidence was provided for the existence of an $a$-function for renormalisable quantum field theories in three dimensions. An explicit expression was given at lowest order for general…

### Perturbative and non-perturbative aspects of RG flows in quantum field theory

- Physics
- 2016

This thesis explores two aspects of the renormalization group (RG) in quantum field theory (QFT). In the first part we study the structure of RG flows in general Poincare-invariant, unitary QFTs, and…

### Scheme Dependence and Multiple Couplings

- Physics
- 2016

For theories with multiple couplings the perturbative $\beta$-functions for scalar, Yukawa couplings are expressible in terms of contributions corresponding to one particle irreducible graphs and…

### Weyl anomalies and quantum cosmology

- Physics
- 2016

In this thesis we study the cosmological consequences of Weyl anomalies arising from the renormalization of composite operators of the fundamental fields, including the metric. These anomalies are…

### University of Southern Denmark Constraints on 3-and 4-loop β-functions in a general four-dimensional Quantum Field Theory

- Physics
- 2019

The β-functions of marginal couplings are known to be closely related to the A-function through Osborn’s equation, derived using the local renormalization group. It is possible to derive strong…

## References

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- Mathematics, Physics
- 1991

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- Physics, Mathematics
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### The constraints of conformal symmetry on RG flows

- Mathematics
- 2012

A bstractIf the coupling constants in QFT are promoted to functions of space-time, the dependence of the path integral on these couplings is highly constrained by conformal symmetry. We begin the…

### Renormalization and redundancy in 2d quantum field theories

- Mathematics
- 2014

A bstractWe analyze renormalization group (RG) flows in two-dimensional quantum field theories in the presence of redundant directions. We use the operator picture in which redundant operators are…

### Background field calculations in curved spacetime. I: General formalism and application to scalar fields

- Mathematics
- 1984

### Gradient formula for the beta function of 2D quantum field theory

- Mathematics
- 2010

We give a non-perturbative proof of a gradient formula for beta functions of two-dimensional quantum field theories. The gradient formula has the form ∂ic = −(gij + Δgij + bij)βj where βj are the…

### Correlation Functions of the Energy Momentum Tensor on Spaces of Constant Curvature

- Physics, Mathematics
- 2000

### On renormalization group flows and the a-theorem in 6d

- Physics
- 2012

A bstractWe study the extension of the approach to the a-theorem of Komargodski and Schwimmer to quantum field theories in d = 6 spacetime dimensions. The dilaton effective action is obtained up to…

### The local Callan-Symanzik equation: structure and applications

- Physics
- 2014

A bstractThe local Callan-Symanzik equation describes the response of a quantum field theory to local scale transformations in the presence of background sources. The consistency conditions…