319 research outputs found
Perturbative Computation of the Gluonic Effective Action via Polyaokov's World-Line Path Integral
The Polyakov world-line path integral describing the propagation of gluon
field quanta is constructed by employing the background gauge fixing method and
is subsequently applied to analytically compute the divergent terms of the one
(gluonic) loop effective action to fourth order in perturbation theory. The
merits of the proposed approach is that, to a given order, it reduces to
performing two integrations, one over a set of Grassmann and one over a set of
Feynman-type parameters through which one manages to accomodate all Feynman
diagrams entering the computation at once.Comment: 21 page
Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications
The Stochastic Vacuum Model for QCD, proposed by Dosch and Simonov, is fused
with a Worldline casting of the underlying theory, i.e. QCD. Important,
non-perturbative features of the model are studied. In particular,
contributions associated with the spin-field interaction are calculated and
both the validity of the loop equations and of the Bianchi identity are
explicitly demonstrated. As an application, a simulated meson-meson scattering
problem is studied in the Regge kinematical regime. The process is modeled in
terms of the "helicoidal" Wilson contour along the lines introduced by Janik
and Peschanski in a related study based on a AdS/CFT-type approach. Working
strictly in the framework of the Stochastic Vacuum Model and in a semiclassical
approximation scheme the Regge behavior for the Scattering amplitude is
demonstrated. Going beyond this approximation, the contribution resulting from
boundary fluctuation of the Wilson loop contour is also estimated.Comment: 37 pages, 1 figure. Final version to appear in Phys.Rev.
Zig Zag symmetry in AdS/CFT duality
The validity of the Bianchi identity, which is intimately connected with the
zig zag symmetry, is established, for piecewise continuous contours, in the
context of Polakov's gauge field-string connection in the large 'tHooft
coupling limit, according to which the chromoelectric `string' propagates in
five dimensions with its ends attached on a Wilson loop in four dimensions. An
explicit check in the wavy line approximation is presented.Comment: 24 pages version to appear in EPJ
Worldline Approach to Forward and Fixed Angle fermion-fermion Scattering in Yang-Mills Theories at High Energies
Worldline techniques are employed to study the general behaviour of the
fermion-fermion collision amplitude at very high energies in a non-abelian
gauge field theory for the forward and fixed angle scattering cases. A central
objective of this work is to demonstrate the simplicity by which the worldline
methodology isolates that sector of the full theory which carries the soft
physics, relevant to each process. Anomalous dimensions pertaining to a given
soft sector are identified and subseuently used to facilitate the
renormalization group running of the respective four point functions. Gluon
reggeization is achieved for forward, while Sudakov suppression is established
for fixed angle scattering.Comment: 28 pages, 10 figures in three file
Gauge (non-)invariant Green functions of Dirac fermions coupled to gauge fields
We develop a unified approach to both infrared and ultraviolet asymptotics of
the fermion Green functions in the condensed matter systems that allow for an
effective description in the framework of the Quantum Electrodynamics. By
applying a path integral representation to the previously suggested form of the
physical electron propagator we demonstrate that in the massless case this
gauge invariant function features a "stronger-than-a-pole" branch-cut
singularity instead of the conjectured Luttinger-like behavior. The obtained
results alert one to the possibility that construction of physically relevant
amplitudes in the effective gauge theories might prove more complex than
previously thought
Spin Factor in Path Integral Representation for Dirac Propagator in External Fields
We study the spin factor problem both in and dimensions which are
essentially different for spin factor construction. Doing all Grassmann
integrations in the corresponding path integral representations for Dirac
propagator we get representations with spin factor in arbitrary external field.
Thus, the propagator appears to be presented by means of bosonic path integral
only. In dimensions we present a simple derivation of spin factor
avoiding some unnecessary steps in the original brief letter (Gitman,
Shvartsman, Phys. Lett. {\bf B318} (1993) 122) which themselves need some
additional justification. In this way the meaning of the surprising possibility
of complete integration over Grassmann variables gets clear. In
dimensions the derivation of the spin factor is completely original. Then we
use the representations with spin factor for calculations of the propagator in
some configurations of external fields. Namely, in constant uniform
electromagnetic field and in its combination with a plane wave field.Comment: 34 pages, LaTe
Two different quasiparticle scattering rates in vortex line liquid phase of layered d-wave superconductors
We carry out a quantum mechanical analysis of the behavior of nodal
quasiparticles in the vortex line liquid phase of planar d-wave
superconductors. Applying a novel path integral technique we calculate a number
of experimentally relevant observables and demonstrate that in the low-field
regime the quasiparticle scattering rates deduced from photoemission and
thermal transport data can be markedly different from that extracted from
tunneling, specific heat, superfluid stiffness or spin-lattice relaxation time.Comment: Latex, 4 pages, no figure
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