## 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 Newton-Cartan local renormalization group and anomalies

- Physics
- 2016

A bstractWeyl consistency conditions are a powerful tool to study the irreversibility properties of the renormalization group. We apply this formalism to non-relativistic theories in 2 spatial…

### 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…

### Consequences of Weyl consistency conditions

- Mathematics
- 2013

A bstractThe running of quantum field theories can be studied in detail with the use of a local renormalization group equation. The usual beta-function effects are easy to include, but by introducing…

### Local renormalization group functions from quantum renormalization group and holographic bulk locality

- Physics
- 2015

The bulk locality in the constructive holographic renormalization group requires miraculous cancellations among various local renormalization group functions. The cancellation is not only from 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…

### 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…

### Can we change c in four-dimensional CFTs by exactly marginal deformations?

- Geology
- 2017

A bstractThere is no known obstructions, but we have not been aware of any concrete examples, either. The Wess-Zumino consistency condition for the conformal anomaly says that a cannot change but…

### 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…

## References

SHOWING 1-10 OF 75 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…

### Scale Invariance + Unitarity => Conformal Invariance?

- Mathematics
- 2009

We revisit the long-standing conjecture that in unitary field theories, scale invariance implies conformality. We explain why the Zamolodchikov-Polchinski proof in D=2 does not work in higher…

### 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…