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 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.

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 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 Solving all 4-point correlation functions for bosonic open string theory in the high-energy limit

2005 ◽  
Vol 725 (1-2) ◽  
pp. 352-382 ◽  
Author(s):  
Chuan-Tsung Chan ◽  
Pei-Ming Ho ◽  
Jen-Chi Lee ◽  
Shunsuke Teraguchi ◽  
Yi Yang
Keyword(s):  
String Theory ◽  
Correlation Functions ◽  
Open String ◽  
High Energy ◽  
Energy Limit ◽  
High Energy Limit ◽  
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 THE STOYANOVSKY–RIBAULT–TESCHNER MAP AND STRING SCATTERING AMPLITUDES

2006 ◽  
Vol 21 (19n20) ◽  
pp. 4003-4034 ◽  
Author(s):  
GASTON GIRIBET ◽  
YU NAKAYAMA
Keyword(s):  
Field Theory ◽  
Scattering Amplitudes ◽  
String Theory ◽  
Correlation Functions ◽  
Central Charge ◽  
Closed String ◽  
Liouville Theory ◽  
Type Reduction ◽  
Point Correlation ◽  
Liouville Field Theory

Recently, Ribault and Teschner pointed out the existence of a one-to-one correspondence between N-point correlation functions for the SL (2,ℂ)k/ SU (2) WZNW model on the sphere and certain set of 2N-2-point correlation functions in Liouville field theory. This result is based on a seminal work by Stoyanovsky. Here, we discuss the implications of this correspondence focusing on its application to string theory on curved backgrounds. For instance, we analyze how the divergences corresponding to worldsheet instantons in AdS3 can be understood as arising from the insertion of the dual screening operator in the Liouville theory side. We also study the pole structure of N-point functions in the 2D Euclidean black hole and its holographic meaning in terms of the Little String Theory. This enables us to interpret the correspondence between CFT's as encoding a LSZ-type reduction procedure. Furthermore, we discuss the scattering amplitudes violating the winding number conservation in those backgrounds and provide a formula connecting such amplitudes with observables in Liouville field theory. Finally, we study the WZNW correlation functions in the limit k → 0 and show that, at the point k = 0, the Stoyanovsky–Ribault–Teschner dictionary turns out to be in agreement with the FZZ conjecture at a particular point of the space of parameters where the Liouville central charge becomes cL = -2. This result makes contact with recent studies on the dynamical tachyon condensation in closed string theory.

scholarly journals Simulating cosmological substructure in the solar neighbourhood

2019 ◽  
Vol 490 (1) ◽  
pp. L32-L37 ◽  
Author(s):  
Christine M Simpson ◽  
Ignacio Gargiulo ◽  
Facundo A Gómez ◽  
Robert J J Grand ◽  
Nicolás Maffione ◽  
...  
Keyword(s):  
Phase Space ◽  
Correlation Functions ◽  
Predictive Power ◽  
Careful Consideration ◽  
Space Structures ◽  
Position Space ◽  
Stellar Component ◽  
Point Correlation ◽  
Hydrodynamical Simulations ◽  
Clustering Patterns

ABSTRACT We explore the predictive power of cosmological, hydrodynamical simulations for stellar phase-space substructure and velocity correlations with the auriga simulations and aurigaia mock Gaia catalogues. We show that at the solar circle the auriga simulations commonly host phase-space structures in the stellar component that have constant orbital energies and arise from accreted subhaloes. These structures can persist for a few Gyr, even after coherent streams in position space have been erased. We also explore velocity two-point correlation functions and find this diagnostic is not deterministic for particular clustering patterns in phase space. Finally, we explore these structure diagnostics with the aurigaia catalogues and show that current catalogues have the ability to recover some structures in phase space but careful consideration is required to separate physical structures from numerical structures arising from catalogue generation methods.

Sign in / Sign up

Export Citation Format

Share Document