Built on

V. K. Dobrev, V. B. Petkova, S. G. Petrova, and I. T. Todorov, Dynamical Derivation of Vacuum Operator Product Expansion in Euclidean Conformal Quantum Field Theory
1976
Earlier work this paper cites.
V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, and I. T. Todorov, Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory
1977
Earlier work this paper cites.
A. B. Zamolodchikov, ’Fishnet’ diagrams as a completely integrable system
1980
Earlier work this paper cites.
R. G. Leigh and M. J. Strassler, Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory
1995
Earlier work this paper cites.
E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms
2000
Earlier work this paper cites.
V. M. Braun, G. P. Korchemsky, and D. Mueller, The Uses of conformal symmetry in QCD
2003
Earlier work this paper cites.
Z. Bern, L. J. Dixon, and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
2005
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, Deforming field theories with U(1) x U(1) global symmetry and their gravity duals
2005
Earlier work this paper cites.
S. Frolov, Lax pair for strings in Lunin-Maldacena background
2005
Earlier work this paper cites.
A. Dymarsky, I. R. Klebanov, and R. Roiban, Perturbative search for fixed lines in large N gauge theories
2005
Earlier work this paper cites.
D. Maître, HPL, a Mathematica implementation of the harmonic polylogarithms
2006
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2007
V. N. Gribov, The theory of complex angular momenta: Gribov lectures on theoretical physics · 2007
Earlier work this paper cites.

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2018

Exact scattering amplitudes in conformal fishnet theory

Korchemsky, G. P.

Understand

We compute the leading-color contribution to four-particle scattering amplitude in four-dimensional conformal fishnet theory that arises as a special limit of $\gamma$-deformed $\mathcal N=4$ SYM.

We show that the single-trace partial amplitude is protected from quantum corrections whereas the double-trace partial amplitude is a nontrivial infrared finite function of the ratio of Mandelstam invariants.
Applying the Lehmann--Symanzik--Zimmerman reduction procedure to the known expression of a four-point correlation function in the fishnet theory, we derive a new representation for this function that is valid for arbitrary coupling.
We use this representation to find the asymptotic behavior of the double-trace amplitude in the high-energy limit and to compute the corresponding exact Regge trajectories.

Built on

V. K. Dobrev, V. B. Petkova, S. G. Petrova, and I. T. Todorov, Dynamical Derivation of Vacuum Operator Product Expansion in Euclidean Conformal Quantum Field Theory
1976
Earlier work this paper cites.
V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, and I. T. Todorov, Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory
1977
Earlier work this paper cites.
A. B. Zamolodchikov, ’Fishnet’ diagrams as a completely integrable system
1980
Earlier work this paper cites.
R. G. Leigh and M. J. Strassler, Exactly marginal operators and duality in four-dimensional N=1 supersymmetric gauge theory
1995
Earlier work this paper cites.
E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms
2000
Earlier work this paper cites.
V. M. Braun, G. P. Korchemsky, and D. Mueller, The Uses of conformal symmetry in QCD
2003
Earlier work this paper cites.
Z. Bern, L. J. Dixon, and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond
2005
Earlier work this paper cites.
O. Lunin and J. M. Maldacena, Deforming field theories with U(1) x U(1) global symmetry and their gravity duals
2005
Earlier work this paper cites.
S. Frolov, Lax pair for strings in Lunin-Maldacena background
2005
Earlier work this paper cites.
A. Dymarsky, I. R. Klebanov, and R. Roiban, Perturbative search for fixed lines in large N gauge theories
2005
Earlier work this paper cites.
D. Maître, HPL, a Mathematica implementation of the harmonic polylogarithms
2006
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2007
V. N. Gribov, The theory of complex angular momenta: Gribov lectures on theoretical physics · 2007
Earlier work this paper cites.