Eikonalization of the scattering amplitude in some field theory models at high energies

1971 ◽  
Vol 9 (3) ◽  
pp. 1183-1190 ◽  
Author(s):  
B. M. Barbashov ◽  
V. V. Nesterenko
Keyword(s):  
Field Theory ◽  
Scattering Amplitude ◽  
High Energies

Small-Angle Elastic Pion-Proton Scattering at High Energies and the Real Part of the Scattering Amplitude

1965 ◽  
Vol 14 (21) ◽  
pp. 862-866 ◽  
Author(s):  
K. J. Foley ◽  
R. S. Gilmore ◽  
R. S. Jones ◽  
S. J. Lindenbaum ◽  
W. A. Love ◽  
...  
Keyword(s):  
Small Angle ◽  
Scattering Amplitude ◽  
Proton Scattering ◽  
The Real ◽  
High Energies

scholarly journals What is duality?

1970 ◽  
Vol 318 (1534) ◽  
pp. 257-278 ◽  
Keyword(s):  
Sum Rules ◽  
Scattering Amplitude ◽  
Finite Energy ◽  
High Energy ◽  
Low Energy ◽  
Strong Interactions ◽  
High Energies ◽  
Resonance Formation ◽  
Interference Models ◽  
Regge Poles

Duality gives a satisfying connexion between two different areas of strong interaction physics, Regge poles at high energy and resonances at low energy. This interlocking gives powerful bootstrap conditions, and together with the assumption that certain channels do not contain resonances it gives strong restrictions on the hadron spectrum. Since there is some confusion about the term duality, we shall explain what is meant by the various forms of duality (f. e. s. r. (finite energy sum rules) duality, local duality), and what is meant by ‘building up’, and we shall show in what way antidual models (such as the generalized interference model) come into conflict with basic empirical facts. Duality expresses the relation between two descriptions of the hadronic scattering amplitude. At low energy (l. e.) the description by direct-channel resonances is simple and useful (see figure 1). At low energy the data show prominent peaks as a function of energy, and one may try the approximation of resonance saturation, i. e. of neglecting the non-resonating background. The second description is the exchange of Regge poles, and it is useful at high energies (h.e.), where typical features are forward peaks, energy dependence s α , and structure at fixed t (see figure 2). The two descriptions are very different; resonance formation corresponds to poles in the s channel, Regge exchange to poles in the t channel. Duality says that there are direct relations between these two descriptions, that they are equivalent in a certain sense. In complete contrast, the interference models postulate that one must add the two descriptions. (If lowest order perturbation theory was relevant to strong interactions, one would be led to adding the diagrams.)

SCATTERING AMPLITUDE ZERO IN dū→γH−

1988 ◽  
Vol 03 (12) ◽  
pp. 1199-1203 ◽  
Author(s):  
XIAO-GANG HE ◽  
H. LEW
Keyword(s):  
Angular Distribution ◽  
Differential Cross Section ◽  
Cross Section ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Higgs Bosons ◽  
Factorization Property ◽  
High Energies ◽  
Charged Higgs ◽  
Charged Higgs Bosons

In models with physical charged Higgs bosons, the angular distribution of dū→γH− exhibits a factorization property. The differential cross section has a zero at the scattering cos -1(-⅓) in the γH− C.M. frame. The processes [Formula: see text] are also studied. It is found, at high energies, that the contribution of the sea quarks are significant enough to wash the zero away.

Asymptotic expansion for the scattering amplitude in scalar field theory

1989 ◽  
Vol 32 (5) ◽  
pp. 362-365
Author(s):  
S. A. Gadzhiev ◽  
R. K. Dzhafarov ◽  
A. I. Livashvili
Keyword(s):  
Field Theory ◽  
Asymptotic Expansion ◽  
Scalar Field ◽  
Scattering Amplitude ◽  
Scalar Field Theory

scholarly journals D-instantons, string field theory and two dimensional string theory

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Ashoke Sen
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Matrix Model ◽  
String Field Theory ◽  
Scattering Amplitude ◽  
Two Dimensional ◽  
World Sheet ◽  
Numerical Result ◽  
Instanton Contribution ◽  
The Matrix

Abstract In [4] Balthazar, Rodriguez and Yin (BRY) computed the one instanton contribution to the two point scattering amplitude in two dimensional string theory to first subleading order in the string coupling. Their analysis left undetermined two constants due to divergences in the integration over world-sheet variables, but they were fixed by numerically comparing the result with that of the dual matrix model. If we consider n-point scattering amplitudes to the same order, there are actually four undetermined constants in the world-sheet approach. We show that using string field theory we can get finite unambiguous values of all of these constants, and we explicitly compute three of these four constants. Two of the three constants determined this way agree with the numerical result of BRY within the accuracy of numerical analysis, but the third constant seems to differ by 1/2. We also discuss a shortcut to determining the fourth constant if we assume the equality of the quantum corrected D-instanton action and the action of the matrix model instanton. This also agrees with the numerical result of BRY.

Sign in / Sign up

Export Citation Format

Share Document