# String theory of the Regge intercept.

@article{Hellerman2015StringTO, title={String theory of the Regge intercept.}, author={Simeon Hellerman and Ian Swanson}, journal={Physical review letters}, year={2015}, volume={114 11}, pages={ 111601 } }

Using the Polchinski-Strominger effective string theory in the covariant gauge, we compute the mass of a rotating string in D dimensions with large angular momenta J, in one or two planes, in fixed ratio, up to and including first subleading order in the large J expansion. This constitutes a first-principles calculation of the value for the order-J(0) contribution to the mass squared of a meson on the leading Regge trajectory in planar QCD with bosonic quarks. For open strings with Neumann…

## 50 Citations

### Quantizing the rotating string with massive endpoints

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe compute leading order quantum corrections to the Regge trajectory of a rotating string with massive endpoints using semiclassical methods. We expand the bosonic string action around a…

### Boundary operators in effective string theory

- Mathematics
- 2016

A bstractVarious universal features of relativistic rotating strings depend on the organization of allowed local operators on the worldsheet. In this paper, we study the set of Neumann boundary…

### The scattering amplitude of stringy hadrons: strings with opposite charges on their endpoints

- Physics
- 2019

In this note we describe hadrons: mesons and baryons as strings with electric charges on their endpoints. We consider here only the neutral system with opposite charges coupled to an external…

### Strings from massive higher spins: the asymptotic uniqueness of the Veneziano amplitude

- Physics
- 2016

A bstractWe consider weakly coupled theories of massive higher-spin particles. This class of models includes, for instance, tree-level String Theory and Large-N Yang-Mills theory. The S-matrix in…

### 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…

### On fine structure of strings: the universal correction to the Veneziano amplitude

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe consider theories of weakly interacting higher spin particles in flat space-time. We focus on the four-point scattering amplitude at high energies and imaginary scattering angles. The…

### On Vertex Operators in Effective String Theory

- Mathematics
- 2017

In this note we construct vertex operators in effective string theory using the simplified covariant formalism, i.e. by embedding it in the Polyakov formalism supplemented by an anomaly term, and…

### On the quantization of folded strings in non-critical dimensions

- Physics
- 2020

Classical rotating closed string are folded strings. At the folding points the scalar curvature associated with the induced metric diverges. As a consequence one cannot properly quantize the…

### 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…

## References

SHOWING 1-10 OF 34 REFERENCES

### Semiclassical quantization of effective string theory and Regge trajectories

- Physics
- 2002

We begin with an effective string theory for long distance QCD, and evaluate the semiclassical expansion of this theory about a classical rotating string solution, taking into account the dynamics of…

### String excitation energies in SU(N) gauge theories beyond the free-string approximation

- Physics
- 2004

In the presence of a static quark--antiquark pair, the spectrum of the low-lying states in SU($N$) gauge theories is discrete and likely to be described, at large quark separations $r$, by an…

### Effective string theory and nonlinear Lorentz invariance

- Physics
- 2012

A bstractWe study the low-energy effective action governing the transverse fluctuations of a long string, such as a confining flux tube in QCD. We work in the static gauge where this action contains…

### Regge trajectories for mesons in the holographic dual of large-N(c) QCD

- Physics
- 2005

We discuss Regge trajectories of dynamical mesons in large-Nc QCD, using the supergravity background describing Nc D4-branes compactified on a thermal circle. The flavor degrees of freedom arise from…

### Effective string theory revisited

- Physics
- 2012

A bstractWe revisit the effective field theory of long relativistic strings such as confining flux tubes in QCD. We derive the Polchinski-Strominger interaction by a calculation in static gauge. This…

### On the effective theory of long open strings

- Physics
- 2011

We study the general low-energy effective action on long open strings, such as confining strings in pure gauge theories. Using Lorentz invariance, we find that for a string of length R, the leading…

### Regularities in hadron systematics, Regge trajectories and a string quark model

- Physics
- 2007

An empirical principle for the construction of a linear relationship between the total angular momentum and squared-mass of baryons is proposed. In order to examine linearity of the trajectories, a…

### The effective theory of long strings

- Physics
- 2013

A bstractWe present the low-energy effective theory on long strings in quantum field theory, including a streamlined review of previous literature on the subject. Such long strings can appear in the…

### Corrections to Nambu-Goto energy levels from the effective string action

- Physics
- 2010

The effective action on long strings, such as confining strings in pure Yang-Mills theories, is well-approximated by the Nambu-Goto action, but this action cannot be exact. The leading possible…

### The effective string spectrum in the orthogonal gauge

- Physics
- 2012

A bstractThe low-energy effective action on long string-like objects in quantum field theory, such as confining strings, includes the Nambu-Goto action and then higher-derivative corrections. This…