Perturbative pomeron vertices and the conformal bootstrap

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645012
Author(s):  
Carlo Ewerz
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Perturbative Qcd ◽  
High Energy ◽  
Conformal Field ◽  
Energy Scattering ◽  
Conformal Bootstrap ◽  
High Energy Scattering

High energy scattering processes in QCD can be described in terms of interacting pomerons. Vertices for the interaction of pomerons have been derived in perturbative QCD. Their properties hint at the existence of a 2+1-dimensional conformal field theory of interacting pomerons. Here we study in particular the 1-to-2 and the 1-to-3 pomeron vertex and find them to be related to each other by a conformal bootstrap relation.

scholarly journals Integrability and conformal bootstrap: One dimensional defect conformal field theory

2022 ◽  
Vol 105 (2) ◽  
Author(s):  
Andrea Cavaglià ◽  
Nikolay Gromov ◽  
Julius Julius ◽  
Michelangelo Preti
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
One Dimensional ◽  
Conformal Field ◽  
Conformal Bootstrap

scholarly journals On Galilean conformal bootstrap

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Bin Chen ◽  
Peng-xiang Hao ◽  
Reiko Liu ◽  
Zhe-fei Yu
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Inversion Formula ◽  
Conformal Symmetry ◽  
Taylor Series Expansion ◽  
Point Function ◽  
Conformal Field ◽  
Conformal Bootstrap ◽  
Free Theory ◽  
Exact Agreement

Abstract In this work, we develop conformal bootstrap for Galilean conformal field theory (GCFT). In a GCFT, the Hilbert space could be decomposed into quasiprimary states and its global descendants. Different from the usual conformal field theory, the quasiprimary states in a GCFT constitute multiplets, which are block-diagonized under the Galilean boost operator. More importantly the multiplets include the states of negative norms, indicating the theory is not unitary. We compute global blocks of the multiplets, and discuss the expansion of four-point functions in terms of the global blocks of the multiplets. Furthermore we do the harmonic analysis for the Galilean conformal symmetry and obtain an inversion formula. As the first step to apply the Galilean conformal bootstrap, we construct generalized Galilean free theory (GGFT) explicitly. We read the data of GGFT by using Taylor series expansion of four-point function and the inversion formula independently, and find exact agreement. We discuss some novel features in the Galilean conformal bootstrap, due to the non-semisimpleness of the Galilean conformal algebra and the non-unitarity of the GCFTs.

scholarly journals PCT theorem, Wightman axioms and conformal bootstrap

2021 ◽  
Vol 36 (11) ◽  
pp. 2150072
Author(s):  
Jnanadeva Maharana
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Analytic Continuation ◽  
Crucial Role ◽  
Point Function ◽  
Bootstrap Equation ◽  
Conformal Field ◽  
Local Commutativity ◽  
Conformal Bootstrap ◽  
Wightman Axioms

The axiomatic Wightman formulation for nonderivative conformal field theory is adopted to derive conformal bootstrap equation for the four-point function. The equivalence between PCT theorem and weak local commutativity, due to Jost plays a very crucial role in axiomatic field theory. The theorem is suitably adopted for conformal field theory to derive the desired equations in CFT. We demonstrate that the two Wightman functions are analytic continuation of each other.

Soft high-energy scattering in a non-perturbative QCD model

1993 ◽  
Vol 318 (1) ◽  
pp. 197-202 ◽  
Author(s):  
H.G. Dosch ◽  
Erasmo Forreira
Keyword(s):  
Perturbative Qcd ◽  
High Energy ◽  
Energy Scattering ◽  
High Energy Scattering
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