scholarly journals Superprotectedn-point correlation functions of local operators in 𝒩 = 4 super Yang-Mills

2009 ◽  
Vol 2009 (04) ◽  
pp. 052-052 ◽  
Author(s):  
Nadav Drukker ◽  
Jan Plefka
Keyword(s):  
Correlation Functions ◽  
Yang Mills ◽  
Point Correlation ◽  
Local Operators

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 Three-point correlation functions in Yang-Mills theory

2013 ◽  
Vol 88 (12) ◽  
Author(s):  
Marcela Peláez ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Correlation Functions ◽  
Yang Mills ◽  
Point Correlation

scholarly journals THREE-POINT FUNCTIONS OF NON-UNITARY MINIMAL MATTER COUPLED TO GRAVITY

1993 ◽  
Vol 08 (03) ◽  
pp. 197-207 ◽  
Author(s):  
DEBASHIS GHOSHAL ◽  
SWAPNA MAHAPATRA
Keyword(s):  
Matrix Model ◽  
Correlation Functions ◽  
The Other ◽  
Tree Level ◽  
Minimal Models ◽  
Continuum Approach ◽  
Point Correlation ◽  
Local Operators ◽  
The One ◽  
The Continuum

The tree-level three-point correlation functions of local operators in the general (p, q) minimal models coupled to gravity are calculated in the continuum approach. On one hand, the result agrees with the unitary series (q=p+1); and on the other hand, for p=2, q=2k−1, we find agreement with the one-matrix model results.

scholarly journals Equal-time two-point correlation functions in Coulomb gauge Yang–Mills theory

2011 ◽  
Vol 842 (3) ◽  
pp. 501-528 ◽  
Author(s):  
D. Campagnari ◽  
A. Weber ◽  
H. Reinhardt ◽  
F. Astorga ◽  
W. Schleifenbaum
Keyword(s):  
Correlation Functions ◽  
Coulomb Gauge ◽  
Equal Time ◽  
Yang Mills ◽  
Point Correlation

scholarly journals On the contribution of different coupling constants in the infrared regime of Yang–Mills theory: A Curci–Ferrari approach

2019 ◽  
Vol 34 (32) ◽  
pp. 1950214
Author(s):  
Matías Fernández ◽  
Marcela Peláez
Keyword(s):  
Perturbation Theory ◽  
Correlation Functions ◽  
Landau Gauge ◽  
Phenomenological Description ◽  
Coupling Constants ◽  
Lattice Data ◽  
Yang Mills ◽  
Point Correlation ◽  
Good Agreement

We investigate the influence of the different vertices of two-point correlation functions in the infrared regime of Yang–Mills theory using a phenomenological description. This regime is studied in Landau-gauge and using perturbation theory within a phenomenological massive model. We perform a one-loop calculation for two-point correlation functions taking into account the different roles of the various interactions in the infrared. Our results show a good agreement with the lattice data.

scholarly journals AdS/CFT CORRESPONDENCE VIA R-CURRENT CORRELATION FUNCTIONS REVISITED

2008 ◽  
Vol 23 (22) ◽  
pp. 3721-3745
Author(s):  
SHAHIN MAMEDOV ◽  
SHAHROKH PARVIZI
Keyword(s):  
Correlation Functions ◽  
Vector Fields ◽  
Free Field ◽  
Open String ◽  
Closed String ◽  
Position Space ◽  
Field Limit ◽  
Yang Mills ◽  
Current Correlation ◽  
Point Correlation

Motivated by realizing open/closed string duality in the work by Gopakumar [Phys. Rev. D70, 025009 (2004)], we study two- and three-point correlation functions of R-current vector fields in [Formula: see text] super-Yang–Mills theory. These correlation functions in free field limit can be derived from the worldline formalism and are written as heat kernel integrals in the position space. We show that reparametrizing these integrals converts them to the expected AdS supergravity results which are known in terms of bulk to boundary propagators. We expect that this reparametrization corresponds to transforming open string moduli parametrization to the closed string ones.

scholarly journals Spectral properties of local gauge invariant composite operators in the SU(2) Yang–Mills–Higgs model

2021 ◽  
Vol 81 (3) ◽  
Author(s):  
D. Dudal ◽  
D. M. van Egmond ◽  
M. S. Guimarães ◽  
L. F. Palhares ◽  
G. Peruzzo ◽  
...  
Keyword(s):  
Spectral Properties ◽  
Higgs Field ◽  
Higgs Model ◽  
Gauge Parameter ◽  
Loop Order ◽  
Spectral Functions ◽  
Yang Mills ◽  
Local Gauge ◽  
Point Correlation ◽  
Local Operators

AbstractThe spectral properties of a set of local gauge (BRST) invariant composite operators are investigated in the SU(2) Yang–Mills–Higgs model with a single Higgs field in the fundamental representation, quantized in the ’t Hooft $$R_{\xi }$$ R ξ -gauge. These operators can be thought of as a BRST invariant version of the elementary fields of the theory, the Higgs and gauge fields, with which they share a gauge independent pole mass. The two-point correlation functions of both BRST invariant composite operators and elementary fields, as well as their spectral functions, are investigated at one-loop order. It is shown that the spectral functions of the elementary fields suffer from a strong unphysical dependence from the gauge parameter $$\xi $$ ξ , and can even exhibit positivity violating behaviour. In contrast, the BRST invariant local operators exhibit a well defined positive spectral density.

scholarly journals NOTE ON THE BOUNDARY TERMS IN AdS/CFT CORRESPONDENCE FOR RARITA–SCHWINGER FIELD

1999 ◽  
Vol 14 (26) ◽  
pp. 1783-1796 ◽  
Author(s):  
R. C. RASHKOV
Keyword(s):  
Asymptotic Behavior ◽  
Boundary Problem ◽  
Stationary Point ◽  
Correlation Functions ◽  
Boundary Term ◽  
Action Functional ◽  
Boundary Terms ◽  
Point Correlation ◽  
Local Operators

In this letter the boundary problem for massless and massive Rarita–Schwinger fields in the AdS/CFT correspondence is considered. The considerations are along the lines of a paper by Henneaux24 and are based on the requirement that the solutions have to be a stationary point for the action functional. It is shown that this requirement, along with a definite asymptotic behavior of the solutions, fixes the boundary term that must be added to the initial Rarita–Schwinger action. It is also shown that the boundary term reproduce the known two-point correlation functions of certain local operators in CFT living on the boundary.

scholarly journals THE FREE FIELD REPRESENTATION OF SU(3) CONFORMAL FIELD THEORY

1993 ◽  
Vol 08 (23) ◽  
pp. 4031-4053
Author(s):  
HOVIK D. TOOMASSIAN
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Correlation Functions ◽  
Free Field ◽  
Field Representation ◽  
Conformal Field ◽  
Point Correlation

The structure of the free field representation and some four-point correlation functions of the SU(3) conformal field theory are considered.

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