Equivalence of two contour prescriptions in superstring perturbation theory

@article{Sen2016EquivalenceOT,
  title={Equivalence of two contour prescriptions in superstring perturbation theory},
  author={Ashoke Sen},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2017},
  pages={1-10}
}
  • A. Sen
  • Published 3 October 2016
  • Physics
  • Journal of High Energy Physics
A bstractConventional superstring perturbation theory based on the world-sheet approach gives divergent results for the S-matrix whenever the total center of mass energy of the incoming particles exceeds the threshold of production of any final state consistent with conservation laws. Two systematic approaches have been suggested for dealing with this difficulty. The first one involves deforming the integration cycles over the moduli space of punctured Riemann surfaces into complexified moduli… 
View on Springer
link.springer.com
14 Citations
Background Citations
3
Methods Citations
2
Results Citations
1

14 Citations

Citation Type

Citation Type

Hyperbolic Geometry of Superstring Perturbation Theory
The hyperbolic structure of the RNS formulation of perturbative superstring theory is explored, with the goal of providing a systematic method for explicitly evaluating both the on-shell and the…
On the contour prescriptions in string-inspired nonlocal field theories
In quantum field theory, a consistent prescription to define and deform integration contours in the complex energy plane is needed to evaluate loop integrals and compute scattering amplitudes. In…
Closed superstring field theory and its applications
We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the…
Quantum gravity from timelike Liouville theory
A bstractA proper definition of the path integral of quantum gravity has been a long- standing puzzle because the Weyl factor of the Euclidean metric has a wrong-sign kinetic term. We propose a…
Hyperbolic geometry and closed bosonic string field theory. Part II. The rules for evaluating the quantum BV master action
Abstract The quantum Batalian-Vilkovisky master action for closed string field theory consists of kinetic term and infinite number of interaction terms. The interaction strengths (coupling…
String field theory as world-sheet UV regulator
  • A. Sen
  • Computer Science
    Journal of High Energy Physics
  • 2019
TLDR
It is shown how string field theory can be used to generate an explicit algorithm for computing tree level amplitudes in any string theory that does not suffer from any short distance divergence from integration over the world-sheet variables.
Space-time supersymmetry in WZW-like open superstring field theory
We investigate space-time supersymmetry in the WZW-like open superstring field theory, whose complete action was recently constructed. Starting from a natural space-time supersymmetry transformation…
Two-dimensional quantum gravity coupled to non-conformal matter
Finding a theory of quantum gravity describing in a consistent way the quantum properties of matter and spacetime geometry is one of the greatest challenges of modern theoretical physics. However…
String Field Theory
  • H. Erbin
  • Physics
    Lecture Notes in Physics
  • 2021
This book provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this…
Hyperbolic geometry and closed bosonic string field theory. Part I. The string vertices via hyperbolic Riemann surfaces
Abstract The main geometric ingredient of the closed string field theory are the string vertices, the collections of string diagrams describing the elementary closed string interactions,…
...
...

References

SHOWING 1-10 OF 16 REFERENCES
One loop mass renormalization of unstable particles in superstring theory
A bstractMost of the massive states in superstring theory are expected to undergo mass renormalization at one loop order. Typically these corrections should contain imaginary parts, indicating that…
Cutkosky rules for superstring field theory
A bstractSuperstring field theory expresses the perturbative S-matrix of superstring theory as a sum of Feynman diagrams each of which is manifestly free from ultraviolet divergences. The interaction…
The Box graph in superstring theory
Developing the covariant Batalin-Vilkovisky approach to string theory
Abstract We investigate the variation of the string field action under changes of the string field vertices giving rise to different decompositions of the moduli spaces of Riemann surfaces. We…
Dispersion relations in string theory
We analyze the analytic continuation of the formally divergent one-loop amplitude for scattering of the gravitonmultiplet in the Type II superstring. In particular we obtain explicit double and…
Mass splittings and the finiteness problem of mass shifts in the type-II superstring at one-loop order.
  • Amano, Tsuchiya
  • Physics
    Physical review. D, Particles and fields
  • 1989
The on-shell two-point amplitudes in the type-II superstring are constructed for some states in the NS-NS (where NS denotes Neveu-Schwarz) sector in the old covariant formalism. The result indicates…
Unitarity of superstring field theory
A bstractWe complete the proof of unitarity of (compactified) heterotic and type II string field theories by showing that in the cut diagrams only physical states appear in the sum over intermediate…
Self-energies of massive strings
Momentum analyticity and finiteness of the 1-loop superstring amplitude.
  • D'Hoker, Phong
  • Mathematics, Physics
    Physical review letters
  • 1993
TLDR
The analytic continuation is constructed which renders this type II superstring amplitude to 1-loop order well defined and finite, and the expected poles and cuts in the complex momentum plane are found.
Unitary string amplitudes
...
...