# QCD β -function on the string worldsheet

@article{Dubovsky2018QCD, title={QCD $\beta$ -function on the string worldsheet}, author={Sergei Dubovsky}, journal={Physical Review D}, year={2018} }

We consider confining strings in pure gluodynamics and its extensions with adjoint (s)quarks. We argue that there is a direct map between the set of bulk fields and the worldsheet degrees of freedom. This suggests a close link between the worldsheet $S$-matrix and parton scattering amplitudes. We report an amusing relation between the Polchinski--Strominger amplitude responsible for the breakdown of integrability on the string worldsheet and the Yang--Mills $\beta$-function \[ b_0={D_{cr}-D_{ph…

## 7 Citations

3D Yang-Mills glueballs vs closed effective strings

- PhysicsJournal of High Energy Physics
- 2021

Abstract
Recent lattice results strongly support the Axionic String Ansatz (ASA) for quantum numbers of glueballs in 3D Yang-Mills theory. The ASA treats glueballs as closed bosonic strings. The…

From QCD Strings to WZW

- PhysicsJournal of High Energy Physics
- 2019

A bstractAccording to the Axionic String Ansatz (ASA) confining flux tubes in pure gluodynamics are in the same equivalence class as a new family of integrable non-critical strings, called axionic…

Undressing confining flux tubes with
TT¯

- PhysicsPhysical Review D
- 2018

Lattice QCD simulations provide crucial information about the worldsheet dynamics of confining strings (flux tubes). An accurate extraction of the worldsheet $S$-matrix from lattice spectra requires…

Confining strings, infinite statistics, and integrability

- Physics, MathematicsPhysical Review D
- 2020

We study confining strings in massive adjoint two-dimensional chromodynamics. Off-shell, as a consequence of zigzag formation, the resulting worldsheet theory provides a non-trivial dynamical…

One-loop fixed points of adjoint multi-scalar gauge theory in four dimensions

- Physics, Mathematics
- 2022

We determine complete one-loop beta functions of the multi-scalar four-point couplings in four-dimensional SU(N) gauge theories with M adjoint scalar multiplets. For adjoints scalars, the sign of the…

Classical integrability of the zigzag model

- Mathematics, Physics
- 2020

The zigzag model is a relativistic $N$-body system arising in the high energy limit of the worldsheet scattering in adjoint two-dimensional QCD. We prove classical Liouville integrability of this…

Glueball spins in D = 3 Yang-Mills

- PhysicsJournal of High Energy Physics
- 2019

Abstract
We determine spins of more than 100 low lying glueball states in D = 2 + 1 dimensional SU (4) gluodynamics by a lattice calculation. We go up to J = 8 in the spin value. We compare the…

## References

SHOWING 1-10 OF 76 REFERENCES

Towards a theory of the QCD string

- Physics
- 2015

A bstractWe construct a new model of four-dimensional relativistic strings with integrable dynamics on the worldsheet. In addition to translational modes this model contains a single massless…

Yang-Mills glueballs as closed bosonic strings

- Physics
- 2016

A bstractWe put forward the Axionic String Ansatz (ASA), which provides a unified description for the worldsheet dynamics of confining strings in pure Yang-Mills theory both in D = 3 and D = 4…

A simple worldsheet black hole

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe study worldsheet theory of confining strings in two-dimensional massive adjoint QCD. Similarly to confining strings in higher dimensions this theory exhibits a non-trivial S-matrix…

SU(N ) gauge theories in 2+1 dimensions: glueball spectra and k-string tensions

- Physics
- 2016

A bstractWe calculate the low-lying glueball spectrum and various string tensions in SU(N ) lattice gauge theories in 2 + 1 dimensions, and extrapolate the results to the continuum limit. We do so…

Solving the simplest theory of quantum gravity

- Physics
- 2012

A bstractWe solve what is quite likely the simplest model of quantum gravity, the worldsheet theory of an infinitely long, free bosonic string in Minkowski space. Contrary to naive expectations, this…

String spectrum of (1+1)-dimensional large-N QCD with adjoint matter.

- PhysicsPhysical review. D, Particles and fields
- 1993

A discretized light-cone quantization of large-[ital N] gauge theory in 1+1 dimensions is performed, with scalar or fermionic matter fields transforming in the adjoint representation of SU([ital N]).

Closed flux tubes and their string description in D =3+1 SU(N) gauge theories

- Physics
- 2011

We calculate the energy spectrum of ac onfining flux tube that is closed around a spatial torus, as a function of its length l. We do so for various SU(N) gauge theories in 3+ 1 dimensions, and for…

Flux tube spectra from approximate integrability at low energies

- Physics
- 2015

We provide a detailed introduction to a method we recently proposed for calculating the spectrum of excitations of effective strings such as QCD flux tubes. The method relies on the approximate…