Analyticity properties and asymptotic behavior of scattering amplitude in higher dimensional theories

Maharana, Jnanadeva

doi:10.1063/1.4974265

Cited by 7 publications

(19 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We briefly recall our previous work [28] on study of analyticity in higher dimensional theories as those results will be quite useful for the continuation to the present investigation. We proceeded as follows to study high energy behaviors and analyticity of higher dimensional theories.…”

Section: Jhep06(2020)139mentioning

confidence: 99%

Proof of dispersion relations for the amplitude in theories with a compactified space dimension

Maharana

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

The analyticity properties of the scattering amplitude in the nonforward direction are investigated for a field theory in the manifold R 3,1 ⊗ S 1. The theory is obtained from a massive, neutral scalar field theory of mass m 0 defined in flat five dimensional spacetime upon compactification on a circle, S 1. The resulting theory is endowed with a massive scalar field which has the lowest mass, m 0 , as of the original five dimensional theory and a tower of massive Kaluza-Klein states. We derive nonforward dispersion relations for scattering of the excited Kaluza-Klein states in the Lehmann-Symanzik-Zimmermann formulation of the theory. In order to accomplish this object, first we generalize the Jost-Lehmann-Dyson theorem for a relativistic field theory with a compact spatial dimension. Next, we show the existence of the Lehmann-Martin ellipse inside which the partial wave expansion converges. The scattering amplitude satisfies fixed-t dispersion relations when |t| lies within the Lehmann-Martin ellipse.

show abstract

Section: Jhep06(2020)139mentioning

confidence: 99%

Proof of dispersion relations for the amplitude in theories with a compactified space dimension

Maharana

2020

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…We recall our previous work [28] on study of analyticity in higher dimensional theories as those results will be quite useful for the continuation to the present investigation.…”

Section: Introductionmentioning

confidence: 95%

“…all particles carry same KK charge. Therefore, the technique of Jost and Lehmann [30] is quite adequate; we do not have to resort to more elegant and general approach of Dyson [31] (see [28] for detail discussions). We shall adhere to notations and discussions of reference I and present those results in a concise manner.…”

Section: The Nonforward Elastic Scatting Of N = 0 Kaluza-klein Statesmentioning

confidence: 99%

Analyticity properties of scattering amplitude in theories with compactified space dimensions

Maharana

2019

Nuclear Physics B

Self Cite

View full text Add to dashboard Cite

The analyticity properties of the scattering amplitude in the nonforward direction are investigated for a field theory in the manifold R 3,1 ⊗ S 1 . A scalar field theory of mass m 0 is considered in D = 5 Minkowski space to start with. Subsequently, one spatial dimension is compactified to a circle; the S 1 compactification. The mass spectrum of the resulting theory is: (a) a massive scalar of mass, m 0 , same as the original five dimensional theory and (b) a tower of massive Kaluza-Klein states. We derive nonforward dispersion relations for scattering of the excited Kaluza-Klein states in the Lehmann-Symanzik-Zimmermann formulation of the theory. In order to accomplish this object, first we generalize the Jost-Lehmann-Dyson theorem for a relativistic field theory with a compact spatial dimension. Next, we show the existence of the Lehmann-Martin ellipse inside which the partial wave expansion converges. It is proved that the scattering amplitude satisfies fixed-t dispersion relations when |t| lies within the Lehmann-Martin ellipse.

show abstract

“…Some recent discussion on analyticity of the Green's function in D-dimensional theories can be found in [14]. Ref.…”

Section: Introductionmentioning

confidence: 99%

Analyticity and crossing symmetry of superstring loop amplitudes

Lacroix

Erbin

Sen

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

Bros, 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 in the complex momentum plane. The latter properties follow from representing the momentum space Green's function as Fourier transform of the position space Green's function, satisfying certain properties implied by the underlying local quantum field theory. We prove the same analyticity properties of the momentum space Green's functions in superstring field theory by directly working with the momentum space Feynman rules even though the corresponding properties of the position space Green's function are not known. Our result is valid to all orders in perturbation theory, but requires, as usual, explicitly subtracting / regulating the non-analyticities associated with massless particles. These results can also be used to prove other general analyticity properties of the S-matrix of superstring theory.

show abstract

Analyticity properties and asymptotic behavior of scattering amplitude in higher dimensional theories

Cited by 7 publications

References 50 publications

Proof of dispersion relations for the amplitude in theories with a compactified space dimension

Proof of dispersion relations for the amplitude in theories with a compactified space dimension

Analyticity properties of scattering amplitude in theories with compactified space dimensions

Analyticity and crossing symmetry of superstring loop amplitudes

Contact Info

Product

Resources

About