scholarly journals Solution to the nonlinear field equations of ten dimensional supersymmetric Yang-Mills theory

2015 ◽  
Vol 92 (6) ◽  
Author(s):  
Carlos R. Mafra ◽  
Oliver Schlotterer
Keyword(s):  
Nonlinear Field ◽  
Field Equations ◽  
Yang Mills ◽  
Nonlinear Field Equations

ACTION PRINCIPLE FOR OVERDETERMINED SYSTEMS OF NONLINEAR FIELD EQUATIONS

1989 ◽  
Vol 04 (03) ◽  
pp. 737-752 ◽  
Author(s):  
E. NISSIMOV ◽  
S. PACHEVA ◽  
S. SOLOMON
Keyword(s):  
General Scheme ◽  
Star Product ◽  
Action Principle ◽  
Nonlinear Field ◽  
Field Equations ◽  
Yang Mills ◽  
Overdetermined Systems ◽  
Principal Tool ◽  
Chern Simons ◽  
Nonlinear Field Equations

We propose a general scheme for constructing an action principle for arbitrary consistent overdetermined systems of nonlinear field equations. The principal tool is the BFV-BRST formalism. There is no need for star-product nor Chern-Simons forms. The main application of this general construction is the derivation of a superspace action in terms of unconstrained superfields for the D = 10N = 1 Super-Yang-Mills theory. The latter contains cubic as well as quartic interactions.

On the Initiation of Necking Modes in Layered Plastic Solids

1987 ◽  
Vol 54 (1) ◽  
pp. 141-146 ◽  
Author(s):  
P. S. Steif
Keyword(s):  
Small Parameter ◽  
Finite Strain ◽  
Relative Rate ◽  
Perturbation Expansion ◽  
Nonlinear Field ◽  
Field Equations ◽  
Regular Perturbation ◽  
Layered Solid ◽  
Interface Imperfections ◽  
Nonlinear Field Equations

The deformation of a solid consisting of alternating material layers with interface undulations is studied analytically. We assess the relative rate of growth or decay of these interface imperfections with straining. The analysis is based on a regular perturbation expansion of the finite strain, nonlinear field equations, the small parameter being the amplitude of the undulations relative to the layer thickness. Attention is focused on the influence of material and geometric parameters on imperfection growth-rates. It is found that significant connections exist between the growth of imperfections and the tendency for undulatory bifurcation modes to emerge from a perfect, layered solid.

scholarly journals Tachyon inflation in an AdS braneworld with backreaction

2017 ◽  
Vol 32 (05) ◽  
pp. 1750039 ◽  
Author(s):  
Neven Bilić ◽  
Dragoljub D. Dimitrijevic ◽  
Goran S. Djordjevic ◽  
Milan Milosevic
Keyword(s):  
Free Parameter ◽  
Initial Conditions ◽  
Hamiltonian Formalism ◽  
Brane Tension ◽  
Nonlinear Field ◽  
Tachyon Field ◽  
Field Equations ◽  
Braneworld Cosmology ◽  
Wide Range ◽  
Nonlinear Field Equations

We analyze the inflationary scenario based on the tachyon field coupled with the radion of the second Randall–Sundrum model (RSII). The tachyon Lagrangian is derived from the dynamics of a 3-brane moving in the five-dimensional bulk. The AdS5 geometry of the bulk is extended to include the radion. Using the Hamiltonian formalism we find four nonlinear field equations supplemented by the modified Friedmann equations of the RSII braneworld cosmology. After a suitable rescaling we reduce the parameters of our model to only one free parameter related to the brane tension and the AdS5 curvature. We solve the equations numerically assuming a reasonably wide range of initial conditions determined by physical considerations. Varying the free parameter and initial conditions we confront our results with the Planck 2015 data.

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