scholarly journals Correlation functions and representation bases in free super Yang–Mills

2012 ◽  
Vol 865 (3) ◽  
pp. 568-594 ◽  
Author(s):  
Yusuke Kimura
Keyword(s):  
Correlation Functions ◽  
Yang Mills

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

GAUGE FIXING TOPOLOGICAL YANG-MILLS

1990 ◽  
Vol 05 (07) ◽  
pp. 1369-1381 ◽  
Author(s):  
ROBERT MYERS
Keyword(s):  
Gauge Symmetry ◽  
Topological Field Theories ◽  
Correlation Functions ◽  
Field Theories ◽  
Yang Mills ◽  
Gauge Fixing ◽  
Topological Field ◽  
Topological Gravity

We examine two methods of fixing the gauge symmetry in Witten’s topological Yang-Mills theory. We find that both procedures produce the same nontrivial correlation functions. Our results also apply to other topological field theories, such as topological gravity.

scholarly journals All-order bounds for correlation functions of gauge-invariant operators in Yang-Mills theory

2016 ◽  
Vol 57 (12) ◽  
pp. 122301 ◽  
Author(s):  
Markus B. Fröb ◽  
Jan Holland ◽  
Stefan Hollands
Keyword(s):  
Correlation Functions ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Order Bounds

scholarly journals INTEGRABLE STRUCTURE OF 5d$\mathcal{N} = 1$ SUPERSYMMETRIC YANG-MILLS AND MELTING CRYSTAL

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2332-2342 ◽  
Author(s):  
TOSHIO NAKATSU ◽  
YUI NOMA ◽  
KANEHISA TAKASAKI
Keyword(s):  
Partition Function ◽  
Generating Function ◽  
Correlation Functions ◽  
External Potential ◽  
Yang Mills ◽  
Integrable Structure ◽  
Crystal Model ◽  
Melting Crystal ◽  
The Common

We study loop operators of 5d[Formula: see text] SYM in Ω background. Computation of their correlation functions is described. For the case of U(1) theory, the generating function reproduces the partition function of melting crystal model with external potential. We argue the common integrable structure of 5d[Formula: see text] SYM in Ω background and melting crystal model. An extension of the Seiberg-Witten geometry of the U(1) theory is presented.

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