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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Weyl consistency conditions and a local renormalisation group equation for general renormalisable field theories
- Mathematics, Physics
- 1991
Derivation of a four dimensional c-theorem for renormaliseable quantum field theories
- Physics, Mathematics
- 1989
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…