29 Citations
Vector Beta Function
- Physics, Mathematics
- 2013
We propose various properties of renormalization group beta functions for vector operators in relativistic quantum field theories. We argue that they must satisfy compensated gauge invariance,…
On three-dimensional trace anomaly from holographic local RG
- Physics
- 2016
Odd-dimensional quantum field theories (QFTs) can have nonzero trace anomalies if external fields are introduced and some ingredients needed to make Lorentz scalars with appropriate mass dimensions…
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…
Canceling the Weyl anomaly from a position-dependent coupling
- Mathematics
- 2018
Once we put a quantum field theory on a curved manifold, it is natural to further assume that coupling constants are position dependent. The position dependent coupling constants then provide an…
Local renormalization group functions from quantum renormalization group and holographic bulk locality
- Physics
- 2015
A bstractThe bulk locality in the constructive holographic renormalization group requires miraculous cancellations among various local renormalization group functions. The cancellation is not only…
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…
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.…
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…
References
SHOWING 1-10 OF 83 REFERENCES
On renormalization group flows in four dimensions
- Physics
- 2011
A bstractWe discuss some general aspects of renormalization group flows in four dimensions. Every such flow can be reinterpreted in terms of a spontaneously broken conformal symmetry. We analyze in…
Holography, a covariant c function, and the geometry of the renormalization group
- Mathematics
- 2000
We propose a covariant geometrical expression for the c function for theories which admit dual gravitational descriptions. We state a c theorem with respect to this quantity and prove it. We apply…
No forbidden landscape in string/M-theory
- Mathematics
- 2009
Scale invariant but non-conformal field theories are forbidden in (1 + 1) dimension, and so should be the corresponding holographic dual gravity theories. We conjecture that such scale invariant but…
The holographic Weyl anomaly
- PhysicsJournal of High Energy Physics
- 1998
We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravity…
Comments on Chern-Simons contact terms in three dimensions
- Physics
- 2012
A bstractWe study contact terms of conserved currents and the energy-momentum tensor in three-dimensional quantum field theory. They are associated with Chern-Simons terms for background fields.…