Affine toda field theory: S-matrix vs perturbation

1992 ◽  
pp. 210-220
Author(s):  
H. W. Braden ◽  
E. Corrigan ◽  
P. E. Dorey ◽  
R. Sasaki
Keyword(s):  
Field Theory ◽  
S Matrix ◽  
Toda Field Theory

THE AFFINE TODA S-MATRICES vs PERTURBATION THEORY

1993 ◽  
Vol 08 (01) ◽  
pp. 115-134 ◽  
Author(s):  
RYU SASAKI ◽  
FREDDY PERMANA ZEN
Keyword(s):  
Field Theory ◽  
Perturbation Theory ◽  
Fourth Order ◽  
Calculation Method ◽  
Coupling Constants ◽  
Matrix Approach ◽  
Bootstrap Equation ◽  
S Matrix ◽  
Complete Form ◽  
Toda Field Theory

We present perturbative calculations for the Affine Toda Field Theory (ATFT) S-matrices to the second order in the coupling constants for [Formula: see text] and [Formula: see text] in general, to the fourth order for [Formula: see text] theory as well as to the sixth order for [Formula: see text] theory. Conventional Feynman–Dyson calculation method and the dispersion approach are used to calculate the complete form of the perturbation amplitudes in contrast to the pole residues in previous papers. The results agree with those S-matrices obtained in the S-matrix approach, namely those based on analyticity, unitarity, crossing and bootstrap equation.

The S-matrix coupling dependence for a, d and e affine Toda field theory

1991 ◽  
Vol 255 (3) ◽  
pp. 343-352 ◽  
Author(s):  
H.W. Braden ◽  
R. Sasaki
Keyword(s):  
Field Theory ◽  
S Matrix ◽  
Toda Field Theory

ELASTIC S-MATRICES IN (1 + 1) DIMENSIONS AND TODA FIELD THEORIES

1990 ◽  
Vol 05 (24) ◽  
pp. 4581-4627 ◽  
Author(s):  
P. CHRISTE ◽  
G. MUSSARDO
Keyword(s):  
Field Theory ◽  
General Scheme ◽  
Field Theories ◽  
Scattering Data ◽  
Quantum Field Theories ◽  
Conformal Field ◽  
Dynkin Diagrams ◽  
S Matrix ◽  
Relativistic Scattering ◽  
Toda Field Theory

Particular deformations of 2-D conformal field theory lead to integrable massive quantum field theories. These can be characterized by the relativistic scattering data. We propose a general scheme for classifying the elastic nondegenerate S-matrix in (1 + 1) dimensions starting from the possible boot-strap processes and the spins of the conserved currents. Their identification with the S-matrix coming from the Toda field theory is analyzed. We discuss both cases of Toda field theory constructed with the simply-laced Dynkin diagrams and the nonsimply-laced ones. We present the results of the perturbative analysis and their geometrical interpretations.

The exact S-matrix of the affine E8 Toda field theory

1989 ◽  
Vol 233 (3-4) ◽  
pp. 336-342 ◽  
Author(s):  
C. Destri ◽  
H.J. de Vega
Keyword(s):  
Field Theory ◽  
S Matrix ◽  
Toda Field Theory

scholarly journals G2(1) affine Toda field theory. A numerical test of exact S-matrix results

1992 ◽  
Vol 289 (1-2) ◽  
pp. 61-66 ◽  
Author(s):  
G.M.T. Watts ◽  
Robert A. Weston
Keyword(s):  
Field Theory ◽  
Numerical Test ◽  
S Matrix ◽  
Toda Field Theory

scholarly journals Classical black hole scattering from a worldline quantum field theory

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gustav Mogull ◽  
Jan Plefka ◽  
Jan Steinhoff
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Black Hole ◽  
Quantum Field ◽  
Expectation Values ◽  
Path Integral Representation ◽  
S Matrix ◽  
Feynman Rules ◽  
Definition Of ◽  
Three Body

Abstract A precise link is derived between scalar-graviton S-matrix elements and expectation values of operators in a worldline quantum field theory (WQFT), both used to describe classical scattering of black holes. The link is formally provided by a worldline path integral representation of the graviton-dressed scalar propagator, which may be inserted into a traditional definition of the S-matrix in terms of time-ordered correlators. To calculate expectation values in the WQFT a new set of Feynman rules is introduced which treats the gravitational field hμν(x) and position $$ {x}_i^{\mu}\left({\tau}_i\right) $$ x i μ τ i of each black hole on equal footing. Using these both the 3PM three-body gravitational radiation 〈hμv(k)〉 and 2PM two-body deflection $$ \Delta {p}_i^{\mu } $$ Δ p i μ from classical black hole scattering events are obtained. The latter can also be obtained from the eikonal phase of a 2 → 2 scalar S-matrix, which we show corresponds to the free energy of the WQFT.

CONFORMAL AFFINE TODA FIELD THEORIES

1992 ◽  
Vol 06 (11n12) ◽  
pp. 2015-2040 ◽  
Author(s):  
L. BONORA
Keyword(s):  
Field Theory ◽  
Field Theories ◽  
The Continuum ◽  
Toda Field Theory

The conformal affine sl2 Toda field theory is introduced and analyzed both in the continuum and on the lattice.

Sign in / Sign up

Export Citation Format

Share Document