285 research outputs found
Challenges of D=6 N=(1,1) SYM Theory
Maximally supersymmetric Yang-Mills theories have several remarkable
properties, among which are the cancellation of UV divergences, factorization
of higher loop corrections and possible integrability. Much attention has been
attracted to the N=4 D=4 SYM theory. The N=(1,1) D=6 SYM theory possesses
similar properties but is nonrenomalizable and serves as a toy model for
supergravity. We consider the on-shell four point scattering amplitude and
analyze its perturbative expansion within the spin-helicity and superspace
formalism. The integrands of the resulting diagrams coincide with those of the
N=4 D=4 SYM and obey the dual conformal invariance. Contrary to 4 dimensions,
no IR divergences on mass shell appear. We calculate analytically the leading
logarithmic asymptotics in all loops. Their summation leads to a Regge
trajectory which is calculated exactly. The leading powers of s are calculated
up to six loops. Their summation is performed numerically and leads to a smooth
function of s. The leading UV divergences are calculated up to 5 loops. The
result suggests the geometrical progression which ends up in a finite
expression. This leads us to a radical point of view on nonrenormalizable
theories.Comment: 11 pages, 2 figures, Late
Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions
The main aim of this paper is to study the scattering amplitudes in gauge
field theories with maximal supersymmetry in dimensions D=6,8 and 10. We
perform a systematic study of the leading ultraviolet divergences using the
spinor helicity and on-shell momentum superspace framework. In D=6 the first
divergences start at 3 loops and we calculate them up to 5 loops, in D=8,10 the
first divergences start at 1 loop and we calculate them up to 4 loops. The
leading divergences in a given order are the polynomials of Mandelstam
variables. To be on the safe side, we check our analytical calculations by
numerical ones applying the alpha-representation and the dedicated routines.
Then we derive an analog of the RG equations for the leading pole that allows
us to get the recursive relations and construct the generating procedure to
obtain the polynomials at any order of (perturbation theory) PT. At last, we
make an attempt to sum the PT series and derive the differential equation for
the infinite sum. This equation possesses a fixed point which might be stable
or unstable depending on the kinematics. Some consequences of these fixed
points are discussed.Comment: 43 pages, 13 figures, pdf LaTex, v2 minor changes and references
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Summation of all-loop UV divergences in maximally supersymmetric gauge theories
We consider the leading and subleading UV divergences for the four-point
on-shell scattering amplitudes in D=6,8,10 supersymmetric Yang-Mills theories
in the planar limit. These theories belong to the class of maximally
supersymmetric gauge theories and presumably possess distinguished properties
beyond perturbation theory. In the previous works, we obtained the recursive
relations that allow one to get the leading and subleading divergences in all
loops in a pure algebraic way. The all loop summation of the leading
divergences is performed with the help of the differential equations which are
the generalization of the RG equations for non-renormalizable theories. Here we
mainly focus on solving and analyzing these equations. We discuss the
properties of the obtained solutions and interpretation of the results.Comment: PdfLatex, 18 pages, 9 Figure
Nonlinear interfacial waves in a constant-vorticity planar flow over variable depth
Exact Lagrangian in compact form is derived for planar internal waves in a
two-fluid system with a relatively small density jump (the Boussinesq limit
taking place in real oceanic conditions), in the presence of a background shear
current of constant vorticity, and over arbitrary bottom profile. Long-wave
asymptotic approximations of higher orders are derived from the exact
Hamiltonian functional in a remarkably simple way, for two different
parametrizations of the interface shape.Comment: revtex, 4.5 pages, minor corrections, summary added, accepted to JETP
Letter
Acoustic Response to the Action of Nanosecond Laser Pulses on an In/CdTe Thin-Film Heterostructure
The photothermoacoustic method has been used for diagnostics of thermobarodynamic processes in the metal In(400 nm)/semiconductor (CdTe) thin-film system under nanosecond laser irradiation (7 ns, λ = 532 nm) in natural conditions (in air) and in a liquid medium (water). From the analysis of the data obtained, the dependence of the pressure induced in the energy-release region on the irradiation energy den-sity has been established and the melting threshold of In film has been determined. Under irradiation of In/CdTe in water, the pressure is higher than in air: 17 times higher at the melting threshold of In film and 30 times higher at twice the temperature. It has been found that the laser pulse treatment of In/CdTe/Au samples in water makes it possible to obtain diode structures with better parameters: smaller leak currents and a steeper current-voltage characteristic under the forward bias of the p-n junction
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