scholarly journals Parafermionic polynomials, Selberg integrals and three-point correlation function in parafermionic Liouville field theory

2011 ◽  
Vol 847 (2) ◽  
pp. 413-459 ◽  
Author(s):  
M.A. Bershtein ◽  
V.A. Fateev ◽  
A.V. Litvinov
Keyword(s):  
Field Theory ◽  
Correlation Function ◽  
Selberg Integrals ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Liouville Field Theory

scholarly journals TOWARDS THE PROOF OF AGT-W RELATION: TODA 3-POINT FUNCTION AND ${\mathcal W}_{1+\infty}$ ALGEBRA

2013 ◽  
Vol 21 ◽  
pp. 138-139
Author(s):  
SHOTARO SHIBA
Keyword(s):  
Field Theory ◽  
Correlation Function ◽  
Point Function ◽  
Gauge Groups ◽  
Promising Direction ◽  
Quiver Gauge Theory ◽  
Conformal Theory ◽  
Conformal Field ◽  
Point Correlation ◽  
Point Correlation Function

The AGT-W relation is a conjecture of the nontrivial duality between 4-dim quiver gauge theory and 2-dim conformal field theory. We verify a part of this conjecture for all the cases of quiver gauge groups by studying on the property of 3-point correlation function of conformal theory. We also mention the relation to [Formula: see text] algebra as one of the promising direction towards the proof of the remaining part.

FOUR-POINT FUNCTION OF THE SUPER-WZW MODEL ON THE SPHERE

1990 ◽  
Vol 05 (29) ◽  
pp. 2413-2422 ◽  
Author(s):  
KENICHIRO AOKI
Keyword(s):  
Field Theory ◽  
Correlation Function ◽  
Scalar Field ◽  
Explicit Expression ◽  
Point Function ◽  
Scalar Field Theory ◽  
Identical Structure ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Background Charge

The superspace formulation of the super-WZW model is used to obtain an explicit expression for the four-point correlation function on the super-sphere given that of the Bose case, for general groups. The correlation function is compared with that of the free super-scalar field theory with background charge and is shown to have an identical structure for the case of SU(2).

scholarly journals The four-point correlation function of the energy-momentum tensor in the free conformal field theory of a scalar field

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Mirko Serino
Keyword(s):  
Field Theory ◽  
Correlation Function ◽  
Scalar Field ◽  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
General Covariance ◽  
Explicit Result ◽  
Conformally Invariant ◽  
Point Correlation ◽  
Point Correlation Function

Abstract We present an explicit momentum space computation of the four-point function of the energy-momentum tensor in 4 spacetime dimensions for the free and conformally invariant theory of a scalar field. The result is obtained by explicit evaluation of the Feynman diagrams by tensor reduction. We work by embedding the scalar field theory in a gravitational background consistently with conformal invariance in order to derive all the terms the correlator consists of and all the Ward identities implied by the requirements of general covariance and anomalous Weyl symmetry. We test all these identities numerically in several kinematic configurations. Mathematica notebooks detailing the step-by-step computation are made publicly available through a GitHub repository (https://github.com/mirkos86/4-EMT-correlation-function-in-a-4d-CFT.). To the best of our knowledge, this is the first explicit result for the four-point correlation function of the energy-momentum tensor in a conformal and non supersymmetric field theory which is readily numerically evaluable in any kinematic configuration.

scholarly journals From correlation functions to event shapes in QCD

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
D. Chicherin ◽  
J. M. Henn ◽  
E. Sokatchev ◽  
K. Yan
Keyword(s):  
Correlation Function ◽  
Correlation Functions ◽  
Event Shape ◽  
Proof Of Concept ◽  
Yang Mills ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Event Shapes ◽  
A Charge ◽  
Conserved Currents

Abstract We present a method for calculating event shapes in QCD based on correlation functions of conserved currents. The method has been previously applied to the maximally supersymmetric Yang-Mills theory, but we demonstrate that supersymmetry is not essential. As a proof of concept, we consider the simplest example of a charge-charge correlation at one loop (leading order). We compute the correlation function of four electromagnetic currents and explain in detail the steps needed to extract the event shape from it. The result is compared to the standard amplitude calculation. The explicit four-point correlation function may also be of interest for the CFT community.

scholarly journals A two-point correlation function for Galactic halo stars

2011 ◽  
Vol 417 (3) ◽  
pp. 2206-2215 ◽  
Author(s):  
A. P. Cooper ◽  
S. Cole ◽  
C. S. Frenk ◽  
A. Helmi
Keyword(s):  
Correlation Function ◽  
Galactic Halo ◽  
Halo Stars ◽  
Point Correlation ◽  
Point Correlation Function
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