Theory of motion for monopole-dipole singularities of classical Yang-Mills-Higgs fields. II. Approximation scheme and equations of motion

1984 ◽  
Vol 29 (4) ◽  
pp. 668-686 ◽  
Author(s):  
Wolfgang Drechsler ◽  
Peter Havas ◽  
Arnold Rosenblum
Keyword(s):  
Approximation Scheme ◽  
Equations Of Motion ◽  
Yang Mills ◽  
Theory Of Motion ◽  
Higgs Fields

scholarly journals Lévy differential operators and Gauge invariant equations for Dirac and Higgs fields

2019 ◽  
Vol 22 (01) ◽  
pp. 1950001 ◽  
Author(s):  
Boris O. Volkov
Keyword(s):  
Differential Operators ◽  
Equations Of Motion ◽  
Parallel Transport ◽  
System Of Differential Equations ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Dirac Equations ◽  
Lévy Laplacian ◽  
Higgs Fields

We study the Lévy infinite-dimensional differential operators (differential operators defined by the analogy with the Lévy Laplacian) and their relationship to the Yang–Mills equations. We consider the parallel transport on the space of curves as an infinite-dimensional analogue of chiral fields and show that it is a solution to the system of differential equations if and only if the associated connection is a solution to the Yang–Mills equations. This system is an analogue of the equations of motion of chiral fields and contains the Lévy divergence. The systems of infinite-dimensional equations containing Lévy differential operators, that are equivalent to the Yang–Mills–Higgs equations and the Yang–Mills–Dirac equations (the equations of quantum chromodynamics), are obtained. The equivalence of two ways to define Lévy differential operators is shown.

Theory of motion for monopole-dipole singularities of classical Yang-Mills-Higgs fields. I. Laws of motion

1984 ◽  
Vol 29 (4) ◽  
pp. 658-667 ◽  
Author(s):  
Wolfgang Drechsler ◽  
Peter Havas ◽  
Arnold Rosenblum
Keyword(s):  
Yang Mills ◽  
Theory Of Motion ◽  
Laws Of Motion ◽  
Higgs Fields

scholarly journals A COHOMOLOGICAL INTERPRETATION OF THE MIGDAL–MAKEENKO EQUATIONS

2002 ◽  
Vol 17 (08) ◽  
pp. 481-489 ◽  
Author(s):  
A. AGARWAL ◽  
S. G. RAJEEV
Keyword(s):  
Lie Algebra ◽  
Equations Of Motion ◽  
Generating Functional ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Change Of Variables ◽  
Anomalous Term ◽  
Large N ◽  
Infinite Dimensional Lie Algebra ◽  
Cohomological Interpretation

The equations of motion of quantum Yang–Mills theory (in the planar "large-N" limit), when formulated in loop-space are shown to have an anomalous term, which makes them analogous to the equations of motion of WZW models. The anomaly is the Jacobian of the change of variables from the usual ones, i.e. the connection one-form A, to the holonomy U. An infinite-dimensional Lie algebra related to this change of variables (the Lie algebra of loop substitutions) is developed, and the anomaly is interpreted as an element of the first cohomology of this Lie algebra. The Migdal–Makeenko equations are shown to be the condition for the invariance of the Yang–Mills generating functional Z under the action of the generators of this Lie algebra. Connections of this formalism to the collective field approach of Jevicki and Sakita are also discussed.

Heat flow for Yang-Mills-Higgs fields, part I

2000 ◽  
Vol 21 (4) ◽  
pp. 453-472
Author(s):  
Fang Yi ◽  
Hong Minchun
Keyword(s):  
Heat Flow ◽  
Yang Mills ◽  
Higgs Fields

Higgs fields as Yang-Mills fields and discrete symmetries

1991 ◽  
Vol 353 (3) ◽  
pp. 689-706 ◽  
Author(s):  
R. Coquereaux ◽  
G. Esposito-Farese ◽  
G. Vaillant
Keyword(s):  
Discrete Symmetries ◽  
Yang Mills ◽  
Higgs Fields

scholarly journals INFLATIONARY DILATONIC de SITTER UNIVERSE FROM ${\mathcal N} = 4$ SUPER-YANG–MILLS THEORY PERTURBED BY SCALARS

2003 ◽  
Vol 18 (18) ◽  
pp. 1257-1264
Author(s):  
JOHN QUIROGA HURTADO
Keyword(s):  
Effective Action ◽  
Initial Conditions ◽  
Equations Of Motion ◽  
Scale Factor ◽  
Conformal Anomaly ◽  
Inflationary Universe ◽  
De Sitter ◽  
Yang Mills ◽  
The Stability ◽  
Super Yang Mills Theory

In this paper a quantum [Formula: see text] super-Yang–Mills theory perturbed by dilaton-coupled scalars, is considered. The induced effective action for such a theory is calculated on a dilaton-gravitational background using the conformal anomaly found via AdS/CFT correspondence. Considering such an effective action (using the large N method) as a quantum correction to the classical gravity action with cosmological constant we study the effect from dilaton to the scale factor (which corresponds to the inflationary universe without dilaton). It is shown that, depending on the initial conditions for the dilaton, the dilaton may slow down, or accelerate, the inflation process. At late times, the dilaton is decaying exponentially. At the end of this work, we consider the question how the perturbation of the solution for the scale factor affects the stability of the solution for the equations of motion and therefore the stability of the Inflationary Universe, which could be eternal.

HEAVY ION COLLISIONS AND BLACK HOLE DYNAMICS

2008 ◽  
Vol 17 (03n04) ◽  
pp. 673-678 ◽  
Author(s):  
STEVEN S. GUBSER
Keyword(s):  
Black Hole ◽  
Gauge Theory ◽  
Heavy Ion Collisions ◽  
Equations Of Motion ◽  
Heavy Ion ◽  
Gluon Plasma ◽  
Relativistic Heavy Ion Collisions ◽  
Thermalization Time ◽  
Yang Mills ◽  
Ion Collisions

Relativistic heavy ion collisions create a strongly coupled quark–gluon plasma. Some of the plasma's properties can be approximately understood in terms of a dual black hole. These properties include shear viscosity, thermalization time, and drag force on heavy quarks. They are hard to calculate from first principles in QCD. Extracting predictions about quark–gluon plasmas from dual black holes mostly involves solving Einstein's equations and classical string equations of motion. AdS/CFT provides a translation from gravitational calculations to gauge theory predictions. The gauge theory to which the predictions apply is [Formula: see text] super-Yang–Mills theory. QCD is different in many respects from super-Yang–Mills, but it seems that its high temperature properties are similar enough for us to make some meaningful comparisons.

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