115 research outputs found
Relations Between Low-lying Quantum Wave Functions and Solutions of the Hamilton-Jacobi Equation
We discuss a new relation between the low lying Schroedinger wave function of
a particle in a one-dimentional potential V and the solution of the
corresponding Hamilton-Jacobi equation with -V as its potential. The function V
is , and can have several minina (V=0). We assume the problem to be
characterized by a small anhamornicity parameter and a much smaller
quantum tunneling parameter between these different minima.
Expanding either the wave function or its energy as a formal double power
series in and , we show how the coefficients of
in such an expansion can be expressed in terms of definite
integrals, with leading order term determined by the classical solution of the
Hamilton-Jacobi equation. A detailed analysis is given for the particular
example of quartic potential .Comment: LaTex, 48 pages, no figur
Monopole Spectra in non-Abelian Gauge Theories
We study the continuum limit of the length spectrum of magnetic monopole
structures found after various Abelian projections of pure gauge SU(2),
including the maximally Abelian gauge. We comment on Gribov copies, and
measurements of the string tension.Comment: Talk presented at LATTICE96(topology) LaTeX, with 4 LaTeX figure
Anomalous gauge couplings of the Higgs boson at high energy photon colliders
We study the sensitivity of testing the anomalous gauge couplings 's
of the Higgs boson in the formulation of linearly realized gauge symmetry via
the processes and at polarized and
unpolarized photon colliders based on linear colliders of
c.m.~energies 500 GeV, 1 TeV, and 3 TeV. Signals beyond the standard model (SM)
and SM backgrounds are carefully studied. We propose certain kinematic cuts to
suppress the standard model backgrounds. For an integrated luminosity of 1
ab, we show that (a) can provide a test of
to the sensitivity of
TeV at a 500 GeV ILC, and TeV at a 1 TeV ILC and a 3
TeV CLIC, and (b) at a 3 TeV CLIC can test all the
anomalous couplings 's to the sensitivity of
TeV.Comment: 30 pages, 17 figure
Brane-induced Skyrmion on S^3: baryonic matter in holographic QCD
We study baryonic matter in holographic QCD with D4/D8/\bar{D8} multi-D brane
system in type IIA superstring theory. The baryon is described as the
"brane-induced Skyrmion", which is a topologically non-trivial chiral soliton
in the four-dimensional meson effective action induced by holographic QCD. We
employ the "truncated-resonance model" approach for the baryon analysis,
including pion and \rho meson fields below the ultraviolet cutoff scale M_KK
\sim 1GeV, to keep the holographic duality with QCD. We describe the baryonic
matter in large N_c as single brane-induced Skyrmion on the three-dimensional
closed manifold S^3 with finite radius R. The interactions between baryons are
simulated by the curvature of the closed manifold S^3, and the decrease of the
size of S^3 represents the increase of the total baryon-number density in the
medium in this modeling. We investigate the energy density, the field
configuration, the mass and the root-mean-square radius of single baryon on S^3
as the function of its radius R. We find a new picture of "pion dominance" near
the critical density in the baryonic matter, where all the (axial) vector meson
fields disappear and only the pion field survive. We also find the "swelling"
phenomena of the baryons as the precursor of the deconfinement, and propose the
mechanism of the swelling in general context of QCD. The properties of the
deconfinement and the chiral symmetry restoration in the baryonic matter are
examined by taking the proper order parameters. We also compare our
truncated-resonance model with another "instanton" description of the baryon in
holographic QCD, considering the role of cutoff scale M_KK.Comment: 25 pages, 12 figure
Introduction to light cone field theory and high energy scattering
In this set of four lectures, we provide an elementary introduction to light
cone field theory and some of its applications in high energy scattering.Comment: 28 pages, LaTeX, invited lectures at Cape Town summer school in
theoretical physic
SU(N)-Gauge Theories in Polyakov Gauge on the Torus
We investigate the Abelian projection with respect to the Polyakov loop
operator for SU(N) gauge theories on the four torus. The gauge fixed is
time-independent and diagonal. We construct fundamental domains for . In
sectors with non-vanishing instanton number such gauge fixings are always
singular. The singularities define the positions of magnetically charged
monopoles, strings or walls. These magnetic defects sit on the Gribov horizon
and have quantized magnetic charges. We relate their magnetic charges to the
instanton number.Comment: 11 pages, 2 figure
What is the order of the deconfining phase transition?
The techniques are discussed by which the order of the deconfining phase
transition is investigated on the lattice. QCD with is a special case,
which can provide information on the mechanism of confinement.Comment: Talk at QCD 2003, Montpellier, July 2003, to appear in the
proceedings. 4 pages, 1 figur
General massive gauge theory
The concept of perturbative gauge invariance formulated exclusively by means
of asymptotic fields is used to construct massive gauge theories. We consider
the interactions of massive and massless gauge fields together with
fermionic ghost and anti-ghost fields. First order gauge invariance
requires the introduction of unphysical scalars (Goldstone bosons) and fixes
their trilinear couplings. At second order additional physical scalars (Higgs
fields) are necessary, their coupling is further restricted at third order. In
case of one physical scalar all couplings are determined by gauge invariance,
including the Higgs potential. For three massive and one massless gauge field
the electroweak theory comes out as the unique solution.Comment: 20 pages, latex, no figure
Time-dependent quantum scattering in 2+1 dimensional gravity
The propagation of a localized wave packet in the conical space-time created
by a pointlike massive source in 2+1 dimensional gravity is analyzed. The
scattering amplitude is determined and shown to be finite along the classical
scattering directions due to interference between the scattered and the
transmitted wave functions. The analogy with diffraction theory is emphasized.Comment: 15 pages in LaTeX with 3 PostScript figure
Color confinement and dual superconductivity in unquenched QCD
We report on evidence from lattice simulations that confinement is produced
by dual superconductivity of the vacuum in full QCD as in quenched QCD.
Preliminary information is obtained on the order of the deconfining phase
transition.Comment: 4 pages, to appear in the Proceedings of Quark Matter 02 - The XVI
International Conference on Ultrarelativistic Nucleus-Nucleus Collision
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