# Analyticity Domain for Off-shell Five-point Superstring Loop Amplitudes

@inproceedings{Bhattacharya2021AnalyticityDF, title={Analyticity Domain for Off-shell Five-point Superstring Loop Amplitudes}, author={Ritabrata Bhattacharya and Ratul Mahanta}, year={2021} }

In an earlier work [1], we showed that for arbitrary Feynman loop diagrams (with no massless internal propagators) in closed superstring field theory, a known domain can be analytically extended by simply adjoining convex combinations of points drawn from it. Such extension yielded 350 of the well-known 370 primitive tubes for 5-point functions. In this paper, we consider the remaining 20 primitive tubes. We show that different types of convex combinations cover different sections of these…

## One Citation

Initial value problem in string-inspired nonlocal field theory

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We consider a nonlocal scalar field theory inspired by the tachyon action in open string field theory. The Lorentz-covariant action is characterized by a parameter ξ2 that quantifies the amount of…

## References

SHOWING 1-10 OF 35 REFERENCES

Cutkosky rules for superstring field theory

- Physics
- 2016

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…

Analyticity and crossing symmetry of superstring loop amplitudes

- PhysicsJournal of High Energy Physics
- 2019

A bstractBros, Epstein and Glaser proved crossing symmetry of the S-matrix of a theory without massless fields by using certain analyticity properties of the off-shell momentum space Green’s function…

Wilsonian effective action of superstring theory

- Physics
- 2016

A bstractBy integrating out the heavy fields in type II or heterotic string field theory one can construct the effective action for the light fields. This effective theory inherits all the algebraic…

Generalized Retarded Functions and Analytic Function in Momentum Space in Quantum Field Theory

- Physics
- 1961

The analytic n‐point function in momentum space in quantum field theory is studied. Its different boundary values for real value of the argument are determined, and a necessary and sufficient…

Closed superstring field theory and its applications

- Physics
- 2017

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…

Analyticity properties and many-particle structure in general quantum field theory

- Mathematics
- 1977

In the framework of L.S.Z. field theory in the case of a single massive scalar field, the “two-particle irreducible” parts of then-point functions (in any single channel and for arbitraryn) are…

Analytic structure of Green's functions in quantum field theory

- Physics
- 1980

A tentative review of recent results obtained by several authors will be presented. They mainly concern the derivation of analyticity properties for the Green's functions and collision amplitudes of…

A proof of the crossing property for two-particle amplitudes in general quantum field theory

- Physics
- 1965

In the framework of the ℒ.l.Z. formalism, the crossing property is proved on the mass shell for amplitudes involving two incoming and two outgoing stable particles with arbitrary masses. Any couple…

Some rigorous analyticity properties of the four-point function in momentum space

- Physics
- 1964

SummaryGeometrical methods of analytic completion are used to enlarge the primitive domain of analyticity of the four-point function inp-space. The results imply, in particular, analyticity of the…

Derivation of asymptotic crossing domains for multiparticle processes in axiomatic quantum field theory: A general approach and a complete proof for 2→3 particle processes

- Physics
- 1986

Abstract A proof of the analyticity of the 2→3 particle scattering functions in asymptotic crossing domains is presented. This result, which applies to production processes involving stable particles…