scholarly journals Naive dimensional analysis counting of gauge theory amplitudes and anomalous dimensions

2013 ◽  
Vol 726 (4-5) ◽  
pp. 697-702 ◽  
Author(s):  
Elizabeth E. Jenkins ◽  
Aneesh V. Manohar ◽  
Michael Trott
Keyword(s):  
Gauge Theory ◽  
Dimensional Analysis ◽  
Anomalous Dimensions ◽  
Naive Dimensional Analysis

scholarly journals Infrared structure of SU(N) × U(1) gauge theory to three loops

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
A.H. Ajjath ◽  
Pooja Mukherjee ◽  
V. Ravindran
Keyword(s):  
Perturbation Theory ◽  
Gauge Theory ◽  
Cross Sections ◽  
Hadron Collider ◽  
Form Factors ◽  
Distribution Functions ◽  
Third Order ◽  
Threshold Limit ◽  
Anomalous Dimensions ◽  
Renormalisation Constant

Abstract We study the infrared (IR) structure of SU(N ) × U(1) (QCD × QED) gauge theory with nf quarks and nl leptons within the framework of perturbation theory. In particular, we unravel the IR structure of the form factors and inclusive real emission cross sections that contribute to inclusive production of color neutral states, such as a pair of leptons or single W/Z in Drell-Yan processes and a Higgs boson in bottom quark annihilation, in Large Hadron Collider (LHC) in the threshold limit. Explicit computation of the relevant form factors to third order and the use of Sudakov’s K + G equation in SU(N ) × U(1) gauge theory demonstrate the universality of the cusp anomalous dimensions (AI, I = q, b). The abelianization rules that relate AI of SU(N ) with those from U(1) and SU(N) × U(1) can be used to predict the soft distribution that results from the soft gluon emission subprocesses in the threshold limit. Using the latter and the third order form factors, we can obtain the collinear anomalous dimensions (BI) and the renormalisation constant Zb to third order in perturbation theory. The form factors, the process independent soft distribution functions can be used to predict fixed and resummed inclusive cross sections to third order in couplings and in leading logarithmic approximation respectively.

NÄIVE DIMENSIONAL ANALYSIS IN AN EFFECTIVE FIELD THEORY FOR NEUTRON STARS

2004 ◽  
Vol 13 (07) ◽  
pp. 1223-1228
Author(s):  
CLÁUDIO M. MAEKAWA ◽  
MOISÉS RAZEIRA ◽  
EDUARDO F. LÜTZ ◽  
CÉSAR A. Z. VASCONCELLOS ◽  
MANFRED DILLIG
Keyword(s):  
Neutron Stars ◽  
Nuclear Matter ◽  
Dimensional Analysis ◽  
Effective Field ◽  
Coupling Constants ◽  
Hadronic Matter ◽  
Lagrangian Model ◽  
Effective Theory ◽  
Model Parameters ◽  
Naive Dimensional Analysis

In the investigation of the role of naturalness in effective theory, we focus on dense hadronic matter in a generalized relativistic multi-baryon Lagrangian density mean field approach which contains nonlinear self-couplings of the σ and δ meson fields interacting with the fundamental baryon octet and with the ω and ϱ meson fields and compare its predictions with estimates obtained within a phenomenological naive dimensional analysis based on the naturalness of the coupling constants of the Lagrangian model; our investigation is limited however to the scalar sector of the theory. Upon adjusting the model parameters to describe bulk static properties of ordinary nuclear matter, we show that our approach represents a natural modelling of nuclear matter under the extreme conditions of density as found in the interior of neutron stars.

scholarly journals On the Pulsating Strings inAdS4×ℂℙ3

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
H. Dimov ◽  
R. C. Rashkov
Keyword(s):  
Gauge Theory ◽  
Simons Theory ◽  
Anomalous Dimensions ◽  
Chern Simons ◽  
Chern Simons Theory

We study the class of pulsating strings onAdS4×ℂℙ3. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we quasiclassically quantize the theory and obtain the first corrections to the energy. The latter, due toAdS/CFTcorrespondence, is supposed to give the anomalous dimensions of operators of the gauge theory dual𝒩=6Chern-Simons theory.

scholarly journals Naive dimensional analysis in holography

2012 ◽  
Vol 86 (1) ◽  
Author(s):  
Ryoichi Nishio ◽  
Taizan Watari ◽  
Tsutomu T. Yanagida ◽  
Kazuya Yonekura
Keyword(s):  
Dimensional Analysis ◽  
Naive Dimensional Analysis

scholarly journals Anomalous dimensions of anisotropic gauge theory operators

1990 ◽  
Vol 251 (3) ◽  
pp. 434-438 ◽  
Author(s):  
David G. Robertson ◽  
Frank Wilczek
Keyword(s):  
Gauge Theory ◽  
Anomalous Dimensions

scholarly journals A NOTE ON SPIN CHAIN/STRING DUALITY

2005 ◽  
Vol 20 (18) ◽  
pp. 4337-4353 ◽  
Author(s):  
H. DIMOV ◽  
R. C. RASHKOV
Keyword(s):  
Gauge Theory ◽  
String Duality ◽  
Spin Chain ◽  
Heisenberg Model ◽  
Sigma Model ◽  
Chain Model ◽  
Heisenberg Chain ◽  
Significant Progress ◽  
Anomalous Dimensions ◽  
Model Approach

Recently a significant progress in matching the anomalous dimensions of certain class of operators in N = 4 SYM and rotating strings was made. The correspondence was established mainly by use of Bethe ansatz technique applied to the spin s Heisenberg chain model. In a recent paper,16 the author suggested to solve the Heisenberg model by use of sigma model approach. In this current work we generalize the solutions presented in Ref. 16 and comment on the dual string theory. It turns out that our solution is related to a generalized ansatz for rotating strings which can be reduced to the so-called Neumann–Rosochatius integrable system. We comment on the spin chain sigma model and string solutions and the possibilities for a more precise formulation of the string/gauge theory correspondence.

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